,music transcrib$ by ,l9da ,cantoni4 ,transcrib]'s note ,m9or punctuation errors h be5 *ang$ )\t notice4 ,pr9t] errors h be5 *ang$ & are li/$ at ! end4 ,all o!r inconsi/5cies are z 9 ! orig9al4 ,9 ?is v]sion ! squ>e root symbol is indicat$ by 9999 sqrt1 ! sup]script by 1 & ! !re=e symbol by 9999 !re=e4 ,a ,,tangl$ ,,tale ,decoration ,illu/ration3 ,,at ,a ,,pace ,,( ,,six ,,miles ,,9 ,,! ,,h\r4 ,frontispiece4 ,a ,,tangl$ ,,tale ,,by ,,lewis ,,c>roll ,,) ,,six ,,illu/rations ,,by ,,ar?ur ,b4 ,,fro/ ,hoc meum tale quale e/ accipe4 ,,second ,,?\s&4 ,london ,,macmillan ,,& ,,co4 #ahhe ,all ,rights ,res]v$ ,,ri*>d ,,clay ,,sons1 ,,bread ,,/reet ,,hill1 ,,london1 ,e4,c4 ,& ,bungay1 ,suffolk4 ,to ,my ,pupil4 ,belov$ pupil6 ,tam$ by !e1 ,addi%-1 ,subtrac-1 ,multiplica-tion1 ,division1 ,fractions1 ,rule ( ,?ree1 ,atte/ ?y deft manipulation6 ,!n onw>d6 ,let ! voice ( ,fame ,f ,age to ,age repeat ?y /ory1 ,till ?\ ha/ won ?yself a "n ,exce$+ ev5 ,euclid's glory6 ,,preface4 ,?is ,tale orig9ally appe>$ z a s]ial 9 ,! ,mon?ly ,packet1 beg9n+ 9 ,april1 #ahhj4 ,! writ]'s int5tion 0 to embody 9 ea* ,knot 7l ! m$ic9e s dext]\sly1 b ineffectually1 conceal$ 9 ! jam ( our e>ly *ildhood7 "o or m ma!matical que/ions--9 ,ari?metic1 ,algebra1 or ,geometry1 z ! case might be--= ! amusem5t1 & possible edification1 ( ! fair read]s ( t ,magaz9e4 ,l4 ,c4 ,octob]1 #ahhe4 ,,cont5ts4 ,,knot ,,page ,i4 ,,excelsior #a ,,ii4 ,,eligible ,,ap>tm5ts #d ,,iii4 ,,mad ,,ma!sis #ac ,,iv4 ,,! ,,dead ,,reckon+ #ai ,v4 ,,oughts ,,& ,,crosses #bg ,,vi4 ,,h] ,,radiancy #cd ,,vii4 ,,petty ,,ca% #dc ,,viii4 ,,de ,,omnibus ,,rebus #eb ,,ix4 ,a ,,s]p5t ,,) ,,corn]s #eh ,x4 ,,*elsea ,,buns #ff ,,answ]s ,,to ,,knot ,i4 #gg ,,ii4 #hd ,,iii4 #ij ,,iv4 #if ,v4 #ajb ,,vi4 #ajf ,,vii4 #aab ,,viii4 #acb ,,ix4 #ace ,x4 #adb ,a ,,tangl$ ,,tale4 ,,knot ,i4 ,,excelsior4 ,gobl91 lead !m up & d[n4 ,! ruddy gl[ ( sunset 0 already fad+ into ! sombre %ad[s ( night1 :5 two travell]s might h be5 obs]v$ swiftly--at a pace ( six miles 9 ! h\r--desc5d+ ! rugg$ side ( a m\nta92 ! y\ng] b\nd+ f crag to crag ) ! agility ( a fawn1 :ile 8 companion1 ^: ag$ limbs seem$ ill at ease 9 ! heavy *a9 arm\r habitually worn by t\ri/s 9 t di/rict1 toil$ on pa9fully at 8 side4 ,z is always ! case "u su* circum/ances1 ! y\ng] knight 0 ! fir/ to break ! sil5ce4 ,a goodly pace1 ,i tr[6 he exclaim$4 ,we sp$ n ?us 9 ! asc5t6 ,goodly1 inde$6 ! o!r e*o$ ) a groan4 ,we clomb x b at ?ree miles 9 ! h\r4 ,& on ! dead level our pace is----8 ! y\ng] sugge/$2 = he 0 weak 9 /ati/ics1 & left all su* details to 8 ag$ companion4 ,f\r miles 9 ! h\r1 ! o!r we>ily repli$4 ,n an ounce m1 he add$1 ) t love ( metaphor s common 9 old age1 & n a f>?+ less6 ',twas ?ree h\rs pa/ high noon :5 we left our ho/elry1 ! "y man said1 mus+ly4 ,we %all sc>ce be back by supp]-"t4 ,p]*ance m9e ho/ w r\ndly d5y u all food6 ,he w *ide our t>dy return1 0 ! grave reply1 & su* a rebuke w be meet4 ,a brave conceit6 cri$ ! o!r1 ) a m]ry laugh4 ,& %\ld we bid him br+ u yet ano!r c\rse1 ,i tr[ 8 answ] w be t>t6 ,we %all b get our des]ts1 sigh$ ! eld] knight1 :o _h nev] se5 a joke 9 8 life1 & 0 some:at displeas$ at 8 companion's untimely levity4 ',twill be n9e ( ! clock1 he add$ 9 an und]tone1 by ! "t we rega9 our ho/elry4 ,full _m a mile %all we h plodd$ ?is day6 ,h[ _m8 ,h[ _m8 cri$ ! eag] y\?1 ev] a?ir/ = k4 ,! old man 0 sil5t4 ,tell me1 he answ]$1 aft] a mom5t's ?\ght1 :at "t x 0 :5 we /ood toge!r on yond] peak4 ,n exact to ! m9ute6 he add$ ha/ily1 read+ a prote/ 9 ! "y man's face4 ,an' ?y guess be )9 "o poor half-h\r ( ! m>k1 'tis all ,i ask ( ?y "m's son6 ,!n w ,i tell !e1 true to ! la/ in*1 h[ f> we %all h trudg$ betwixt ?ree & n9e ( ! clock4 ,a groan 0 ! "y man's only reply2 :ile 8 convuls$ features & ! deep wr9kles t *as$ ea* o!r across 8 manly br[1 reveal$ ! abyss ( ari?metical agony into :i* "o *ance "q _h plung$ him4 ,,knot ,,ii4 ,,eligible ,,ap>tm5ts4 ,/raight d[n ! crook$ lane1 ,& all r\nd ! squ>e4 ,let's ask ,balbus ab\t x1 said ,hugh4 ,all "r1 said ,lamb]t4 ,he c guess x1 said ,hugh4 ,r1 said ,lamb]t4 ,no m words 7 ne$$3 ! two bro!rs und]/ood ea* o!r p]fectly4 ,illu/ration3 ,,balbus ,,0 ,,assi/+ ,,8 ,,"m-,,9-,,law ,,to ,,conv9ce ,,! ,,dragon4 ,balbus 0 wait+ = !m at ! hotel3 ! j\rney d[n _h tir$ him1 he said3 s 8 two pupils _h be5 ! r\nd ( ! place1 9 se>* ( lodg+s1 )\t ! old tutor :o _h be5 _! insep>able companion f _! *ildhood4 ,!y _h nam$ him aft] ! h]o ( _! ,lat9 ex]cise-book1 :i* ov]fl[$ ) anecdotes ( t v]satile g5ius--anecdotes ^: vagu5ess 9 detail 0 m ?an comp5sat$ by _! s5sational brilliance4 ,balbus has ov]come all 8 enemies _h be5 m>k$ by _! tutor1 9 ! m>g9 ( ! book1 ,successful ,brav]y4 ,9 ?is way he _h tri$ to extract a moral f e anecdote ab\t ,balbus--sometimes "o ( w>n+1 z 9 ,balbus _h borr[$ a heal?y dragon1 aga9/ :i* he _h writt5 ,ra%ness 9 ,speculation--sometimes ( enc\ragem5t1 z 9 ! words ,influ5ce ( ,sympa?y 9 ,unit$ ,action1 :i* /ood opposite to ! anecdote ,balbus 0 assi/+ 8 "m-9-law to conv9ce ! dragon--& sometimes x dw9dl$ d[n to a s+le ^w1 su* z ,prud5ce1 :i* 0 all he c\ld extract f ! t\*+ record t ,balbus1 hav+ scor*$ ! tail ( ! dragon1 w5t away4 ,8 pupils lik$ ! %ort morals be/1 z x left !m m room = m>g9al illu/rations1 & 9 ?is in/ance !y requir$ all ! space !y c\ld get to exhibit ! rapidity ( ! h]o's dep>ture4 ,_! report ( ! /ate ( ?+s 0 disc\rag+4 ,t mo/ fa%ionable ( wat]+-places1 ,little ,m5dip1 0 *ockfull 7z ! boys express$ x7 f end to end4 ,b 9 "o ,squ>e !y _h se5 no less ?an f\r c>ds1 9 diff]5t h\ses1 all ann\nc+ 9 flam+ capitals ,,eligible ,,ap>tm5ts4 ,s !re's pl5ty ( *oice1 aft] all1 y see1 said spokesman ,hugh 9 conclusion4 ,t doesn't foll[ f ! data1 said ,balbus1 z he rose f ! easy *air1 :]e he _h be5 doz+ ov] ,! ,little ,m5dip ,gazette4 ,!y may be all s+le rooms4 ,h[ev]1 we may z well see !m4 ,i %all be glad to /ret* my legs a bit4 ,an unprejudic$ by/&] might h object$ t ! op]ation 0 ne$less1 & t ?is long1 lank creature w\ld h be5 all ! bett] ) ev5 %ort] legs3 b no su* ?\ght occurr$ to 8 lov+ pupils4 ,"o on ea* side1 !y did _! be/ to keep up ) 8 gigantic /rides1 :ile ,hugh repeat$ ! s5t5ce 9 _! fa!r's lett]1 j receiv$ f abroad1 ov] :i* he & ,lamb]t _h be5 puzzl+4 ,he says a fri5d ( 81 ! ,gov]nor (----:at 0 t "n aga91 ,lamb]t8 7,kgovjni1 said ,lamb]t47 ,well1 yes4 ,! ,gov]nor (----:at-y-may-call-x----wants to give a v small d9n]-p>ty1 & he means to ask 8 fa!r's bro!r-9-law1 8 bro!r's fa!r-9-law1 8 fa!r-9-law's bro!r1 & 8 bro!r-9-law's fa!r3 & we're to guess h[ _m gue/s !re w be4 ,!re 0 an anxi\s pause4 ,h[ l>ge did he say ! pudd+ 0 to be8 ,balbus said at la/4 ,take its cubical cont5ts1 divide by ! cubical cont5ts ( :at ea* man c eat1 & ! quoti5t---- ,he didn't say any?+ ab\t pudd+1 said ,hugh1 --& "h's ! ,squ>e1 z !y turn$ a corn] & came into sight ( ! eligible ap>tm5ts4 ,x is a ,squ>e6 0 ,balbus' fir/ cry ( delight1 z he gaz$ ar\nd him4 ,beautiful6 ,beau-ti-ful6 ,equilat]al6 ,& rectangul>6 ,! boys look$ r\nd ) less en?usiasm4 ,numb] n9e is ! fir/ ) a c>d1 said prosaic ,lamb]t2 b ,balbus w\ld n s soon awake f 8 dream ( beauty4 ,see1 boys6 he cri$4 ,tw5ty doors on a side6 ,:at symmetry6 ,ea* side divid$ into tw5ty-"o equal p>ts6 ,x's delici\s6 ,%all ,i knock1 or r+8 said ,hugh1 look+ 9 "s p]plexity at a squ>e brass plate :i* bore ! simple inscription ,,r+ ,,also4 ,bo?1 said ,balbus4 ,t's an ,ellipsis1 my boy4 ,did y nev] see an ,ellipsis be=e8 ,i c\ldn't h>dly read x1 said ,hugh1 evasively4 ,x's no good hav+ an ,ellipsis1 if !y don't keep x clean4 ,:i* !re is "o room1 g5tlem51 said ! smil+ l&lady4 ,& a sweet room too6 ,z snug a little back-room---- ,we w see x1 said ,balbus gloomily1 z !y foll[$ h] 94 ,i knew h[ x w\ld be6 ,"o room 9 ea* h\se6 ,no view1 ,i suppose8 ,:i* inde$ !re is1 g5tlem56 ! l&lady indignantly prote/$1 z %e drew up ! bl9d1 & indicat$ ! back g>d54 ,cabbages1 ,i p]ceive1 said ,balbus4 ,well1 !y're gre51 at any rate4 ,:i* ! gre5s at ! %ops1 _! ho/ess expla9$1 are by no means dep5dable ^u4 ,"h y has !m on ! premises1 & ( ! be/4 ,does ! w9d[ op58 0 always ,balbus' fir/ "q 9 te/+ a lodg+3 & ,does ! *imney smoke8 8 second4 ,satisfi$ on all po9ts1 he secur$ ! refusal ( ! room1 & !y mov$ on to ,numb] ,tw5ty-five4 ,?is l&lady 0 grave & /]n4 ,i've nobbut "o room left1 %e told !m3 & x gives on ! back-gy>d94 ,b !re are cabbages8 ,balbus sugge/$4 ,! l&lady visibly rel5t$4 ,!re is1 sir1 %e said3 & good ones1 ?\gh ,i say x z %\ldn't4 ,we c't rely on ! %ops = gre5s4 ,s we gr[s !m ourselves4 ,a s+ul> advantage1 said ,balbus3 &1 aft] ! usual que/ions1 !y w5t on to ,fifty-two4 ,& ,i'd gladly accommodate y all1 if ,i c\ld1 0 ! greet+ t met !m4 ,we are b mortal1 7,irrelevant6 mutt]$ ,balbus7 & ,i've let all my rooms b "o4 ,:i* "o is a back-room1 ,i p]ceive1 said ,balbus3 & look+ out on--on cabbages1 ,i presume8 ,yes1 inde$1 sir6 said _! ho/ess4 ,:atev] o!r folks may d1 we gr[s our own4 ,= ! %ops---- ,an excell5t arrangem5t6 ,balbus int]rupt$4 ,!n "o c really dep5d on _! be+ good4 ,does ! w9d[ op58 ,! usual que/ions 7 answ]$ satisfactorily3 b ?is "t ,hugh add$ "o ( 8 own inv5tion--,does ! cat scrat*8 ,! l&lady look$ r\nd suspici\sly1 z if to make sure ! cat 0 n li/5+1 ,i w n deceive y1 g5tlem51 %e said4 ,x d scrat*1 b n )\t y pulls its :isk]s6 ,x'll nev] d x1 %e repeat$ sl[ly1 ) a visible ef=t to recall ! exact words ( "s writt5 agreem5t betwe5 h]self & ! cat1 )\t y pulls its :isk]s6 ,mu* may be excus$ 9 a cat s treat$1 said ,balbus1 z !y left ! h\se & cross$ to ,numb] ,sev5ty-?ree1 leav+ ! l&lady curtsey+ on ! door/ep1 & /ill murmur+ to h]self h] p>t+ words1 z if !y 7 a =m ( bless+1 ---- n )\t y pulls its :isk]s6 ,at ,numb] ,sev5ty-?ree !y f\nd only a small %y girl to %[ ! h\se1 :o said yes'm 9 answ] to all que/ions4 ,! usual room1 said ,balbus1 z !y m>*$ 93 ! usual back-g>d51 ! usual cabbages4 ,i suppose y c't get !m good at ! %ops8 ,yes'm1 said ! girl4 ,well1 y may tell y\r mi/ress we w take ! room1 & t h] plan ( gr[+ h] own cabbages is simply admirable6 ,yes'm1 said ! girl1 z %e %[$ !m out4 ,"o day-room & ?ree b$-rooms1 said ,balbus1 z !y return$ to ! hotel4 ,we w take z our day-room ! "o t gives u ! lea/ walk+ to d to get to x4 ,mu/ we walk f door to door1 & c\nt ! /eps8 said ,lamb]t4 ,no1 no6 ,figure x out1 my boys1 figure x out6 ,balbus gaily exclaim$1 z he put p5s1 ink1 & pap] be=e 8 hapless pupils1 & left ! room4 ,i say6 ,x'll be a job6 said ,hugh4 ,r6 said ,lamb]t4 ,,knot ,,iii4 ,,mad ,,ma!sis4 ,i wait$ = ! tra94 ,well1 !y call me s because ,i am a little mad1 ,i suppose1 %e said1 good-hum\r$ly1 9 answ] to ,cl>a's cauti\sly-word$ "q z to h[ %e came by s /range a nick-"n4 ,y see1 ,i nev] d :at sane p are expect$ to d n[-a-days4 ,i nev] we> long tra9s1 7talk+ ( tra9s1 t's ! ,*>+ ,cross ,metropolitan ,/ation--,i've some?+ to tell y ab\t t71 & ,i nev] play lawn-t5nis4 ,i c't cook an omelette4 ,i c't ev5 set a brok5 limb6 ,!re's an ignoramus = y6 ,cl>a 0 h] niece1 & full tw5ty ye>s h] junior2 9 fact1 %e 0 /ill att5d+ a ,high ,s*ool--an in/itution ( :i* ,mad ,ma!sis spoke ) undisguis$ av]sion4 ,let a woman be meek & l[ly6 %e w\ld say4 ,none ( y\r ,high ,s*ools = me6 ,b x 0 vacation-"t j n[1 & ,cl>a 0 h] gue/1 & ,mad ,ma!sis 0 %[+ h] ! sights ( t ,eigh? ,wond] ( ! _w--,london4 ,! ,*>+ ,cross ,metropolitan ,/ation6 %e resum$1 wav+ h] h& t[>ds ! entrance z if %e 7 introduc+ h] niece to a fri5d4 ,! ,bayswat] & ,birm+ham ,ext5sion is j complet$1 & ! tra9s n[ run r\nd & r\nd cont9u\sly--skirt+ ! bord] ( ,wales1 j t\*+ at ,york1 & s r\nd by ! ea/ coa/ back to ,london4 ,! way ! tra9s run is mo/ peculi>4 ,! we/]ly ones g r\nd 9 two h\rs2 ! ea/]ly ones take ?ree2 b !y always manage to />t two tra9s f "h1 opposite ways1 punctually e qu>t]-(-an-h\r4 ,!y "p to meet aga91 said ,cl>a1 h] eyes fill+ ) te>s at ! romantic ?\ght4 ,no ne$ to cry ab\t x6 h] aunt grimly rem>k$4 ,!y don't meet on ! same l9e ( rails1 y "k4 ,talk+ ( meet+1 an idea /rikes me6 %e add$1 *ang+ ! subject ) h] usual abruptness4 ,let's g opposite ways r\nd1 & see :i* c meet mo/ tra9s4 ,no ne$ = a *ap]on--ladies' saloon1 y "k4 ,y %all g :i*ev] way y l1 & we'll h a bet ab\t x6 ,i nev] make bets1 ,cl>a said v gravely4 ,our excell5t preceptress has (t5 w>n$ u---- ,y'd be none ! worse if y did6 ,mad ,ma!sis int]rupt$4 ,9 fact1 y'd be ! bett]1 ,i'm c]ta96 ,nei!r does our excell5t preceptress approve ( puns1 said ,cl>a4 ,b we'll h a mat*1 if y l4 ,let me *oose my tra91 %e add$ aft] a brief m5tal calculation1 & ,i'll engage to meet exactly half z _m aga9 z y d4 ,n if y c\nt fair1 ,mad ,ma!sis bluntly int]rupt$4 ,rememb]1 we only c\nt ! tra9s we meet on ! way4 ,y mu/n't c\nt ! "o t />ts z y />t1 nor ! "o t arrives z y arrive4 ,t w only make ! diff]5ce ( "o tra91 said ,cl>a1 z !y turn$ & ent]$ ! /ation4 ,b ,i nev] travell$ alone be=e4 ,!re'll be no "o to help me to alight4 ,h[ev]1 ,i don't m9d4 ,let's h a mat*4 ,a ragg$ little boy ov]he>d h] rem>k1 & came runn+ aft] h]4 ,buy a box ( cig>-lights1 ,miss6 he plead$1 pull+ h] %awl to attract h] att5tion4 ,cl>a /opp$ to expla94 ,i nev] smoke cig>s1 %e said 9 a meekly apologetic tone4 ,our excell5t preceptress----1 b ,mad ,ma!sis impati5tly hurri$ h] on1 & ! little boy 0 left gaz+ aft] h] ) r\nd eyes ( amazem5t4 ,! two ladies b\ght _! tickets & mov$ sl[ly d[n ! c5tral plat=m1 ,mad ,ma!sis prattl+ on z usual--,cl>a sil5t1 anxi\sly reconsid]+ ! calculation on :i* %e re/$ h] hopes ( w9n+ ! mat*4 ,m9d :]e y g1 de>6 cri$ h] aunt1 *eck+ h] j 9 "t4 ,"o /ep m1 & y'd h be5 9 t pail ( cold wat]6 ,i "k1 ,i "k1 ,cl>a said1 dreamily4 ,! pale1 ! cold1 & ! moony---- ,take y\r places on ! spr+-bo>ds6 %\t$ a port]4 ,:at are !y =6 ,cl>a ask$ 9 a t]rifi$ :isp]4 ,m]ely to help u into ! tra9s4 ,! eld] lady spoke ) ! non*alance ( "o q us$ to ! process4 ,v few p c get into a c>riage )\t help 9 less ?an ?ree seconds1 & ! tra9s only /op = "o second4 ,at ?is mom5t ! :i/le 0 he>d1 & two tra9s ru%$ into ! /ation4 ,a mom5t's pause1 & !y 7 gone aga92 b 9 t brief int]val sev]al hundr$ pass5g]s _h be5 %ot into !m1 ea* fly+ /raight to 8 place ) ! accuracy ( a ,m9ie bullet--:ile an equal numb] 7 %[]$ out ^u ! side-plat=ms4 ,?ree h\rs _h pass$ away1 & ! two fri5ds met aga9 on ! ,*>+ ,cross plat=m1 & eag]ly comp>$ notes4 ,!n ,cl>a turn$ away ) a sigh4 ,to "y impulsive he>ts1 l h]s1 disappo9tm5t is always a bitt] pill4 ,mad ,ma!sis foll[$ h]1 full ( k9dly sympa?y4 ,try aga91 my love6 %e said1 *e]ily4 ,let u v>y ! exp]im5t4 ,we w />t z we did be=e1 b n to beg9 c\nt+ till our tra9s meet4 ,:5 we see ea* o!r1 we w say ',"o6' & s c\nt on till we come "h aga94 ,cl>a bright5$ up4 ,i %all w9 t1 %e exclaim$ eag]ly1 if ,i may *oose my tra96 ,ano!r %riek ( eng9e :i/les1 ano!r upheav+ ( spr+-bo>ds1 ano!r liv+ avalan*e plung+ into two tra9s z !y fla%$ by3 & ! travell]s 7 (f aga94 ,ea* gaz$ eag]ly f h] c>riage w9d[1 hold+ up h] h&k]*ief z a signal to h] fri5d4 ,a ru% & a ro>4 ,two tra9s %ot pa/ ea* o!r 9 a tunnel1 & two travell]s lean$ back 9 _! corn]s ) a sigh--or r ) two sighs--( relief4 ,"o6 ,cl>a murmur$ to h]self4 ,won6 ,x's a ^w ( good om54 ,?is "t1 at any rate1 ! victory w be m9e6 ,b 0 x8 ,,knot ,,iv4 ,,! ,,dead ,,reckon+4 ,i did dream ( money-bags to-night4 ,noonday on ! op5 sea )9 a few degrees ( ! ,equator is apt to be oppressively w>m2 & our two travell]s 7 n[ airily clad 9 suits ( dazzl+ :ite l951 hav+ laid aside ! *a9-arm\r :i* !y _h f\nd n only endurable 9 ! cold m\nta9 air !y _h lately be5 brea?+1 b a necess>y precaution aga9/ ! dagg]s ( ! b&itti :o infe/$ ! heights4 ,_! holiday-trip 0 ov]1 & !y 7 n[ on _! way home1 9 ! mon?ly packet :i* pli$ betwe5 ! two great ports ( ! isl& !y _h be5 explor+4 ,along ) _! arm\r1 ! t\ri/s _h laid aside ! antiquat$ spee* x _h pleas$ !m to affect :ile 9 knightly disguise1 & _h return$ to ! ord9>y /yle ( two c\ntry g5tlem5 ( ! ,tw5tie? ,c5tury4 ,/ret*$ on a pile ( cu%ions1 "u ! %ade ( a huge umbrella1 !y 7 lazily wat*+ "s native fi%]m51 :o _h come on bo>d at ! la/ l&+-place1 ea* c>ry+ ov] 8 %\ld] a small b heavy sack4 ,a l>ge weigh+-ma*9e1 t _h be5 us$ = c>go at ! la/ port1 /ood on ! deck2 & r\nd ?is ! fi%]m5 _h ga!r$1 &1 ) mu* un9telligible jabb]1 seem$ to be weigh+ _! sacks4 ,m l sp>r[s 9 a tree ?an human talk1 isn't x8 ! eld] t\ri/ rem>k$ to 8 son1 :o smil$ feebly1 b w\ld n ex]t himself s f> z to speak4 ,! old man tri$ ano!r li/5]4 ,:at h !y got 9 ^? sacks1 ,capta98 he inquir$1 z t great be+ pass$ !m 9 8 nev] end+ p>ade to & fro on ! deck4 ,! ,capta9 paus$ 9 8 m>*1 & t[]$ ov] ! travell]s--tall1 grave1 & s]5ely self-satisfi$4 ,fi%]m51 he expla9$1 are (t5 pass5g]s 9 ,my %ip4 ,^! five are f ,mhruxi--! place we la/ t\*$ at--& t's ! way !y c>ry _! money4 ,! money ( ?is isl& is heavy1 g5tlem51 b x co/s little1 z y may guess4 ,we buy x f !m by weight--ab\t five %ill+s a p\nd4 ,i fancy a t5 p\nd-note w\ld buy all ^? sacks4 ,by ?is "t ! old man _h clos$ 8 eyes--9 ord]1 no d\bt1 to conc5trate 8 ?\ghts on ^! int]e/+ facts2 b ! ,capta9 fail$ to realise 8 motive1 & ) a grunt resum$ 8 monoton\s m>*4 ,mean:ile ! fi%]m5 7 gett+ s noisy ov] ! weigh+-ma*9e t "o ( ! sailors took ! precaution ( c>ry+ (f all ! weights1 leav+ !m to amuse !mselves ) su* sub/itutes 9 ! =m ( w9*-h&les1 belay+-p9s1 c41 z !y c\ld f9d4 ,?is br\ght _! excitem5t to a spe$y end3 !y c>efully hid _! sacks 9 ! folds ( ! jib t lay on ! deck ne> ! t\ri/s1 & /roll$ away4 ,:5 next ! ,capta9's heavy footfall pass$1 ! y\ng] man r\s$ himself to speak4 ,:at did y call ! place ^? fell[s came f1 ,capta98 he ask$4 ,mhruxi1 sir4 ,& ! "o we are b\nd =8 ,! ,capta9 took a long brea?1 plung$ into ! ^w1 & came out ( x nobly4 ,!y call x ,kgovjni1 sir4 ,k--,i give x up6 ! "y man fa9tly said4 ,he /ret*$ out 8 h& = a glass ( ic$ wat] :i* ! compassionate /ew>d _h br\ght him a m9ute ago1 & _h set d[n1 unluckily1 j outside ! %ad[ ( ! umbrella4 ,x 0 scald+ hot1 & he decid$ n to dr9k x4 ,! ef=t ( mak+ ?is resolution1 com+ close on ! fatigu+ conv]sation he _h j gone ?r\gh1 0 too mu* = him3 he sank back among ! cu%ions 9 sil5ce4 ,8 fa!r c\rte\sly tri$ to make am5ds = 8 non*alance4 ,:]eab\ts are we n[1 ,capta98 said he1 ,h y any idea8 ,! ,capta9 ca/ a pity+ look on ! ignorant l&sman4 ,i c\ld tell y t1 sir1 he said1 9 a tone ( l(ty condesc5sion1 to an in*6 ,y don't say s6 ! old man rem>k$1 9 a tone ( languid surprise4 ,& mean s1 p]si/$ ! ,capta94 ,:y1 :at d y suppose w\ld become ( ,my %ip1 if ,i 7 to lose ,my ,longitude & ,my ,latitude8 ,c\ld y make any?+ ( ,my ,dead ,reckon+8 ,nobody c\ld1 ,i'm sure6 ! o!r he>tily rejo9$4 ,b he _h ov]done x4 ,x's p]fectly intelligible1 ! ,capta9 said1 9 an (f5d$ tone1 to any "o t und]/&s su* ?+s4 ,) ^! words he mov$ away1 & began giv+ ord]s to ! m51 :o 7 prep>+ to hoi/ ! jib4 ,our t\ri/s wat*$ ! op]ation ) su* int]e/ t nei!r ( !m rememb]$ ! five money-bags1 :i* 9 ano!r mom5t1 z ! w9d fill$ out ! jib1 7 :irl$ ov]bo>d & fell heavily into ! sea4 ,b ! poor fi%]m5 _h n s easily =gott5 _! prop]ty4 ,9 a mom5t !y _h ru%$ to ! spot1 & /ood utt]+ cries ( fury1 & po9t+1 n[ to ! sea1 & n[ to ! sailors :o _h caus$ ! disa/]4 ,! old man expla9$ x to ! ,capta94 ,let u make x up among u1 he add$ 9 conclusion4 ,t5 p\nds w d x1 ,i ?9k y said8 ,illu/ration ,b ! ,capta9 put aside ! sugge/ion ) a wave ( ! h&4 ,no1 sir6 he said1 9 8 gr&e/ mann]4 ,y w excuse ,me1 ,i am sure2 b ^! are ,my pass5g]s4 ,! accid5t has happ5$ on bo>d ,my %ip1 & "u ,my ord]s4 ,x is = ,me to make comp5sation4 ,he turn$ to ! angry fi%]m54 ,come "h1 my m56 he said1 9 ! ,mhruxian dialect4 ,tell me ! weight ( ea* sack4 ,i saw y weigh+ !m j n[4 ,!n ensu$ a p]fect ,babel ( noise1 z ! five natives expla9$1 all scream+ toge!r1 h[ ! sailors _h c>ri$ (f ! weights1 & !y _h done :at !y c\ld ) :atev] came h&y4 ,two iron belay+-p9s1 ?ree blocks1 six holy/ones1 f\r w9*-h&les1 & a l>ge hamm]1 7 n[ c>efully weigh$1 ! ,capta9 sup]9t5d+ & not+ ! results4 ,b ! matt] did n seem to be settl$1 ev5 !n3 an angry discussion foll[$1 9 :i* ! sailors & ! five natives all jo9$3 & at la/ ! ,capta9 approa*$ our t\ri/s ) a disconc]t$ look1 :i* he tri$ to conceal "u a laugh4 ,x's an absurd difficulty1 he said4 ,p]haps "o ( y g5tlem5 c sugge/ some?+4 ,x seems !y weigh$ ! sacks two at a "t6 ,if !y didn't h five sep>ate weigh+s1 ( c\rse y c't value !m sep>ately1 ! y\? ha/ily decid$4 ,let's he> all ab\t x1 0 ! old man's m cauti\s rem>k4 ,!y did h five sep>ate weigh+s1 ! ,capta9 said1 b--,well1 x beats me entirely6 he add$1 9 a sudd5 bur/ ( c&\r4 ,"h's ! result4 ,fir/ & second sack weigh$ twelve p\nds2 second & ?ird1 ?irte5 & a half2 ?ird & f\r?1 elev5 & a half2 f\r? & fif?1 eight3 & !n !y say !y _h only ! l>ge hamm] left1 & x took ?ree sacks to weigh x d[n--t's ! fir/1 ?ird & fif?--& !y weigh$ sixte5 p\nds4 ,!re1 g5tlem56 ,did y ev] he> any?+ l t8 ,! old man mutt]$ "u 8 brea? ,if only my si/] 7 "h6 & look$ helplessly at 8 son4 ,8 son look$ at ! five natives4 ,! five natives look$ at ! ,capta94 ,! ,capta9 look$ at nobody3 8 eyes 7 ca/ d[n1 & he seem$ to be say+ s(tly to himself ,contemplate "o ano!r1 g5tlem51 if su* be y\r good pleasure4 ,i contemplate ,myself6 ,,knot ,v4 ,,oughts ,,& ,,crosses4 ,look "h1 ^u ?is picture1 & on ?is4 ,& :at made y *oose ! fir/ tra91 ,goosey8 said ,mad ,ma!sis1 z !y got into ! cab4 ,c\ldn't y c\nt bett] ?an t8 ,i took an extreme case1 0 ! te>ful reply4 ,our excell5t preceptress always says ',:5 9 d\bt1 my de>s1 take an extreme case4' ,& ,i 0 9 d\bt4 ,does x always succe$8 h] aunt enquir$4 ,cl>a sigh$4 ,n always1 %e reluctantly admitt$4 ,& ,i c't make out :y4 ,"o day %e 0 tell+ ! little girls--!y make su* a noise at tea1 y "k--',! m noise y make1 ! less jam y w h1 & vice v]s4' ,& ,i ?\ght !y w\ldn't "k :at 'vice v]s' meant3 s ,i expla9$ x to !m4 ,i said ',if y make an inf9ite noise1 y'll get no jam3 & if y make no noise1 y'll get an inf9ite lot ( jam4' ,b our excell5t preceptress said t wasn't a good in/ance4 ,:y wasn't x8 %e add$ pla9tively4 ,h] aunt evad$ ! "q4 ,"o sees c]ta9 objections to x1 %e said4 ,b h[ did y "w x ) ! ,metropolitan tra9s8 ,none ( !m g inf9itely fa/1 ,i believe4 ,i call$ !m h>es & tortoises1 ,cl>a said--a little timidly1 = %e dread$ be+ laugh$ at4 ,& ,i ?\ght !re c\ldn't be s _m h>es z tortoises on ! ,l9e3 s ,i took an extreme case--"o h>e & an inf9ite numb] ( tortoises4 ,an extreme case1 inde$1 h] aunt rem>k$ ) admirable gravity3 & a mo/ dang]\s /ate ( ?+s6 ,& ,i ?\ght1 if ,i w5t ) a tortoise1 !re w\ld be only "o h>e to meet3 b if ,i w5t ) ! h>e--y "k !re 7 cr[ds ( tortoises6 ,x wasn't a bad idea1 said ! eld] lady1 z !y left ! cab1 at ! entrance ( ,burl+ton ,h\se4 ,y %all h ano!r *ance to-day4 ,we'll h a mat* 9 m>k+ pictures4 ,cl>a bright5$ up4 ,i %\ld l to try aga91 v mu*1 %e said4 ,i'll take m c>e ?is "t4 ,h[ are we to play8 ,to ?is "q ,mad ,ma!sis made no reply3 %e 0 busy draw+ l9es d[n ! m>g9s ( ! catalogue4 ,see1 %e said aft] a m9ute1 ,i've drawn ?ree columns aga9/ ! names ( ! pictures 9 ! long room1 & ,i want y to fill !m ) oughts & crosses--crosses = good m>ks & oughts = bad4 ,! fir/ column is = *oice ( subject1 ! second = arrangem5t1 ! ?ird = col\r+4 ,& ^! are ! conditions ( ! mat*4 ,y mu/ give ?ree crosses to two or ?ree pictures4 ,y mu/ give two crosses to f\r or five---- ,d y mean only two crosses8 said ,cl>a4 ,or may ,i c\nt ! ?ree-cross pictures among ! two-cross pictures8 ,( c\rse y may1 said h] aunt4 ,any "o1 t has ?ree eyes1 may be said to h two eyes1 ,i suppose8 ,cl>a foll[$ h] aunt's dreamy gaze across ! cr[d$ gall]y1 half-dread+ to f9d t !re 0 a ?ree-ey$ p]son 9 sight4 ,& y mu/ give "o cross to n9e or t54 ,& :i* w9s ! mat*8 ,cl>a ask$1 z %e c>efully ent]$ ^! conditions on a blank leaf 9 h] catalogue4 ,:i*ev] m>ks fewe/ pictures4 ,b suppose we m>k$ ! same numb]8 ,!n :i*ev] uses mo/ m>ks4 ,cl>a consid]$4 ,i don't ?9k x's mu* ( a mat*1 %e said4 ,i %all m>k n9e pictures1 & give ?ree crosses to ?ree ( !m1 two crosses to two m1 & "o cross ea* to all ! re/4 ,w y1 inde$8 said h] aunt4 ,wait till y've he>d all ! conditions1 my impetu\s *ild4 ,y mu/ give ?ree oughts to "o or two pictures1 two oughts to ?ree or f\r1 & "o ought to eight or n9e4 ,i don't want y to be too h>d on ! ,r4,a4's4 ,cl>a q gasp$ z %e wrote d[n all ^! fre% conditions4 ,x's a great deal worse ?an ,circulat+ ,decimals6 %e said4 ,b ,i'm det]m9$ to w91 all ! same6 ,h] aunt smil$ grimly4 ,we c beg9 "h1 %e said1 z !y paus$ be=e a gigantic picture1 :i* ! catalogue in=m$ !m 0 ! ,portrait ( ,lieut5ant ,br[n1 m\nt$ on 8 favorite elephant4 ,he looks awfully conceit$6 said ,cl>a4 ,i don't ?9k he 0 ! elephant's favorite ,lieut5ant4 ,:at a hide\s picture x is6 ,& x takes up room en\gh = tw5ty6 ,m9d :at y say1 my de>6 h] aunt int]pos$4 ,x's by an ,r4,a46 ,b ,cl>a 0 q reckless4 ,i don't c>e :o x's by6 %e cri$4 ,& ,i %all give x ?ree bad m>ks6 ,aunt & niece soon drift$ away f ea* o!r 9 ! cr[d1 & = ! next half-h\r ,cl>a 0 h>d at "w1 putt+ 9 m>ks & rubb+ !m out aga91 & hunt+ up & d[n = suitable pictures4 ,?is %e f\nd ! h>de/ "p ( all4 ,i c't f9d ! "o ,i want6 %e exclaim$ at la/1 almo/ cry+ ) vexation4 ,:at is x y want to f9d1 my de>8 ,! voice 0 /range to ,cl>a1 b s sweet & g5tle t %e felt attract$ to ! own] ( x1 ev5 be=e %e _h se5 h]2 & :5 %e turn$1 & met ! smil+ looks ( two little old ladies1 ^: r\nd dimpl$ faces1 exactly alike1 seem$ nev] to h kn[n a c>e1 x 0 z mu* z %e c\ld d--z %e confess$ to ,aunt ,mattie aft]w>ds--to keep h]self f hugg+ !m bo?4 ,i 0 look+ = a picture1 %e said1 t has a good subject--& t's well arrang$--b badly col\r$4 ,! little old ladies glanc$ at ea* o!r 9 "s al>m4 ,calm y\rself1 my de>1 said ! "o :o _h spok5 fir/1 & try to rememb] :i* x 04 ,:at 0 ! subject8 ,0 x an elephant1 = in/ance8 ! o!r si/] sugge/$4 ,!y 7 /ill 9 sight ( ,lieut5ant ,br[n4 ,i don't "k1 inde$6 ,cl>a impetu\sly repli$4 ,y "k x doesn't matt] a bit :at ! subject is1 s long z x's a good "o6 ,once m ! si/]s ex*ang$ looks ( al>m1 & "o ( !m :isp]$ some?+ to ! o!r1 ( :i* ,cl>a caught only ! "o ^w mad4 ,!y mean ,aunt ,mattie1 ( c\rse1 %e said to h]self--fancy+1 9 h] innoc5ce1 t ,london 0 l h] native t[n1 :]e ev]ybody knew ev]ybody else4 ,if y mean my aunt1 %e add$ al\d1 %e's !re--j ?ree pictures beyond ,lieut5ant ,br[n4 ,ah1 well6 ,!n y'd bett] g to h]1 my de>6 h] new fri5d said1 soo?+ly4 ,%e'll f9d y ! picture y want4 ,good-bye1 de>6 ,good-bye1 de>6 e*o$ ! o!r si/]1 ,m9d y don't lose sight ( y\r aunt6 ,& ! pair trott$ (f into ano!r room1 leav+ ,cl>a r p]plex$ at _! mann]4 ,!y're real d>l+s6 %e soliloquis$4 ,i wond] :y !y pity me s6 ,& %e w&]$ on1 murmur+ to h]self ,x mu/ h two good m>ks1 &---- ,,knot ,,vi4 ,,h] ,,radiancy4 ,"o piecee ?+ t my h got1 ,maskee,a t ?+ my no c d4 ,y talkee y no sabey :at8 ,bamboo4 ,!y l&$1 & 7 at once conduct$ to ! ,palace4 ,ab\t half way !y 7 met by ! ,gov]nor1 :o welcom$ !m 9 ,engli%--a great relief to our travell]s1 ^: guide c\ld speak no?+ b ,kgovjnian4 ,i don't half l ! way !y gr9 at u z we g by6 ! old man :isp]$ to 8 son4 ,& :y d !y say ',bamboo6' s (t58 ,x alludes to a local cu/om1 repli$ ! ,gov]nor1 :o _h ov]he>d ! "q4 ,su* p]sons z happ5 9 any way to displease ,h] ,radiancy are usually beat5 ) rods4 ,illu/ration3 ,,:y ,,d ,,!y ,,say ',,bamboo6' ,,s ,,(t58 ,! old man %udd]$4 ,a mo/ objectional local cu/om6 he rem>k$ ) /rong emphasis4 ,i wi% we _h nev] l&$6 ,did y notice t black fell[1 ,norman1 op5+ 8 great m\? at u8 ,i v]ily believe he w\ld l to eat u6 ,norman appeal$ to ! ,gov]nor1 :o 0 walk+ at 8 o!r side4 ,d !y (t5 eat di/+ui%$ /rang]s "h8 he said1 9 z indiff]5t a tone z he c\ld assume4 ,n (t5--n ev]6 0 ! welcome reply4 ,!y are n good = x4 ,pigs we eat1 = !y are fat4 ,?is old man is ?94 ,& ?ankful to be s6 mutt]$ ! eld] travell]4 ,beat5 we %all be )\t a d\bt4 ,x's a com=t to "k x won't be ,beat5 )\t ! ,b6 ,my de> boy1 j look at ! peacocks6 ,!y 7 n[ walk+ betwe5 two unbrok5 l9es ( ^? gorge\s birds1 ea* held 9 *eck1 by means ( a gold5 coll> & *a91 by a black slave1 :o /ood well beh9d1 s z n to int]rupt ! view ( ! glitt]+ tail1 ) its network ( ru/l+ fea!rs & its hundr$ eyes4 ,! ,gov]nor smil$ pr\dly4 ,9 y\r hon\r1 he said1 ,h] ,radiancy has ord]$ up t5 ?\s& additional peacocks4 ,%e w1 no d\bt1 decorate y1 be=e y g1 ) ! usual ,/> & ,fea!rs4 ,x'll be ,/> )\t ! ,s6 falt]$ "o ( 8 he>]s4 ,come1 come6 ,don't lose he>t6 said ! o!r4 ,all ?is is full ( *>m = me4 ,y are "y1 ,norman1 sigh$ 8 fa!r2 "y & light-he>t$4 ,= me1 x is ,*>m )\t ! ,c4 ,! old "o is sad1 ! ,gov]nor rem>k$ ) "s anxiety4 ,he has1 )\t d\bt1 effect$ "s fe>ful crime8 ,b ,i hav5't6 ! poor old g5tleman ha/ily exclaim$4 ,tell him ,i hav5't1 ,norman6 ,he has n1 z yet1 ,norman g5tly expla9$4 ,& ! ,gov]nor repeat$1 9 a satisfi$ tone1 ,n z yet4 ,y\rs is a wondr\s c\ntry6 ! ,gov]nor resum$1 aft] a pause4 ,n[ "h is a lett] f a fri5d ( m9e1 a m]*ant1 9 ,london4 ,he & 8 bro!r w5t !re a ye> ago1 ) a ?\s& p\nds apiece2 & on ,new-,ye>'s-day !y _h sixty ?\s& p\nds betwe5 !m6 ,h[ did !y d x8 ,norman eag]ly exclaim$4 ,ev5 ! eld] travell] look$ excit$4 ,! ,gov]nor h&$ him ! op5 lett]4 ,anybody c d x1 :5 once !y "k h[1 s ran ?is oracul> docum5t4 ,we borr[$ n\ght3 we /ole n\ght4 ,we began ! ye> ) only a ?\s& p\nds apiece3 & la/ ,new-,ye>'s-day we _h sixty ?\s& p\nds betwe5 u--sixty ?\s& gold5 sov]eigns6 ,norman look$ grave & ?\ghtful z he h&$ back ! lett]4 ,8 fa!r haz>d$ "o guess4 ,0 x by gambl+8 ,a ,kgovjnian nev] gambles1 said ! ,gov]nor gravely1 z he u%]$ !m ?r\gh ! palace gates4 ,!y foll[$ him 9 sil5ce d[n a long passage1 & soon f\nd !mselves 9 a l(ty hall1 l9$ entirely ) peacocks' fea!rs4 ,9 ! c5tre 0 a pile ( crimson cu%ions1 :i* almo/ conceal$ ! figure ( ,h] ,radiancy--a plump little damsel1 9 a robe ( gre5 sat9 dott$ ) silv] />s1 ^: pale r\nd face lit up = a mom5t ) a half-smile z ! travell]s b[$ be=e h]1 & !n relaps$ into ! exact expression ( a wax doll1 :ile %e languidly murmur$ a ^w or two 9 ! ,kgovjnian dialect4 ,! ,gov]nor int]pret$4 ,h] ,radiancy welcomes y4 ,%e notes ! ,imp5etrable ,placidity ( ! old "o1 & ! ,imp]ceptible ,acut5ess ( ! y\?4 ,"h ! little pot5tate clapp$ h] h&s1 & a troop ( slaves in/antly appe>$1 c>ry+ trays ( c(fee & sweetmeats1 :i* !y (f]$ to ! gue/s1 :o _h1 at a signal f ! ,gov]nor1 seat$ !mselves on ! c>pet4 ,sug>-plums6 mutt]$ ! old man4 ,"o might z well be at a confection]'s6 ,ask = a p5ny bun1 ,norman6 ,n s l\d6 8 son :isp]$4 ,say some?+ complim5t>y6 ,= ! ,gov]nor 0 evid5tly expect+ a spee*4 ,we ?ank ,h] ,exalt$ ,pot5cy1 ! old man timidly began4 ,we bask 9 ! light ( h] smile1 :i*---- ,! words ( old m5 are weak6 ! ,gov]nor int]rupt$ angrily4 ,let ! y\? speak6 ,tell h]1 cri$ ,norman1 9 a wild bur/ ( eloqu5ce1 t1 l two gras%opp]s 9 a volcano1 we are %rivell$ up 9 ! pres5ce ( ,h] ,spangl$ ,vehem5ce6 ,x is well1 said ! ,gov]nor1 & translat$ ?is into ,kgovjnian4 ,i am n[ to tell y1 he proce$$1 :at ,h] ,radiancy requires ( y be=e y g4 ,! ye>ly competition = ! po/ ( ,imp]ial ,sc>f-mak] is j end$2 y are ! judges4 ,y w take acc\nt ( ! rate ( "w1 ! lightness ( ! sc>ves1 & _! w>m?4 ,usually ! competitors diff] 9 "o po9t only4 ,?us1 la/ ye>1 ,fifi & ,gogo made ! same numb] ( sc>ves 9 ! trial-week1 & !y 7 equally light2 b ,fifi's 7 twice z w>m z ,gogo's & %e 0 pron\nc$ twice z good4 ,b ?is ye>1 woe is me1 :o c judge x8 ,?ree competitors are "h1 & !y diff] 9 all po9ts6 ,:ile y settle _! claims1 y %all be lodg$1 ,h] ,radiancy bids me say1 free ( exp5se--9 ! be/ dungeon1 & abundantly f$ on ! be/ bread & wat]4 ,! old man groan$4 ,all is lo/6 he wildly exclaim$4 ,b ,norman he$$ him n3 he _h tak5 out 8 note-book1 & 0 calmly jott+ d[n ! p>ticul>s4 ,?ree !y be1 ! ,gov]nor proce$$1 ,lolo1 ,mimi1 & ,zuzu4 ,lolo makes #e sc>ves :ile ,mimi makes #b2 b ,zuzu makes #d :ile ,lolo makes #c6 ,aga91 s fairylike is ,zuzu's h&iwork1 #e ( h] sc>ves weigh no m ?an "o ( ,lolo's2 yet ,mimi's is light] /ill--#e ( h]s w b balance #c ( ,zuzu's6 ,& = w>m? "o ( ,mimi's is equal to #d ( ,zuzu's2 yet "o ( ,lolo's is z w>m z #c ( ,mimi's6 ,"h ! little lady once m clapp$ h] h&s4 ,x is our signal ( dismissal6 ! ,gov]nor ha/ily said4 ,pay ,h] ,radiancy y\r f>ewell complim5ts--& walk out backw>ds4 ,! walk+ "p 0 all ! eld] t\ri/ c\ld manage4 ,norman simply said ,tell ,h] ,radiancy we are transfix$ by ! spectacle ( ,h] ,s]5e ,brilliance1 & bid an agoniz$ f>ewell to h] ,cond5s$ ,milk9ess6 ,h] ,radiancy is pleas$1 ! ,gov]nor report$1 aft] duly translat+ ?is4 ,%e ca/s on y a glance f ,h] ,imp]ial ,eyes1 & is confid5t t y w cat* x6 ,t ,i w>rant we %all6 ! eld] travell] moan$ to himself di/ract$ly4 ,once m !y b[$ l[1 & !n foll[$ ! ,gov]nor d[n a w9d+ /aircase to ! ,imp]ial ,dungeon1 :i* !y f\nd to be l9$ ) col\r$ m>ble1 light$ f ! ro(1 & spl5didly ?\gh n luxuri\sly furni%$ ) a b5* ( poli%$ mala*ite4 ,i tru/ y w n delay ! calculation1 ! ,gov]nor said1 u%]+ !m 9 ) mu* c]emony4 ,i h kn[n great inconv5i5ce--great & s]i\s inconv5i5ce--result to ^? unhappy ones :o h delay$ to execute ! comm&s ( ,h] ,radiancy6 ,& on ?is occasion %e is resolute3 %e says ! ?+ mu/ & %all be done3 & %e has ord]$ up t5 ?\s& additional bamboos6 ,) ^! words he left !m1 & !y he>d him lock & b> ! door on ! outside4 ,i told y h[ x w\ld end6 moan$ ! eld] travell]1 wr++ 8 h&s1 & q =gett+ 9 8 angui% t he _h himself propos$ ! exp$ition1 & _h nev] pr$ict$ any?+ ( ! sort4 ,oh t we 7 well out ( ?is mis]able bus9ess6 ,c\rage6 cri$ ! y\ng] *e]ily4 ,hc olim mem9isse juvabit6 ,! end ( all ?is w be glory6 ,glory )\t ! ,l6 0 all ! poor old man c\ld say1 z he rock$ himself to & fro on ! mala*ite b5*4 ,glory )\t ! ,l6 ,,footnote3 ,footnote ,a3 ,maskee1 9 ,pigeon-,engli%1 means )\t4 ,,knot ,,vii4 ,,petty ,,ca%4 ,base is ! slave t pays4 ,aunt ,mattie6 ,my *ild8 ,w\ld y m9d writ+ x d[n at once8 ,i %all be q c]ta9 to =get x if y don't6 ,my de>1 we really mu/ wait till ! cab /ops4 ,h[ c ,i possibly write any?+ 9 ! mid/ ( all ?is jolt+8 ,b really ,i %all be =gett+ x6 ,cl>a's voice took ! pla9tive tone t h] aunt nev] knew h[ to resi/1 & ) a sigh ! old lady drew =? h] ivory tablets & prep>$ to record ! am\nt t ,cl>a _h j sp5t at ! confection]'s %op4 ,h] exp5diture 0 always made out ( h] aunt's purse1 b ! poor girl knew1 by bitt] exp]i5ce1 t soon] or lat] ,mad ,ma!sis w\ld expect an exact acc\nt ( e p5ny t _h gone1 & %e wait$1 ) ill-conceal$ impati5ce1 :ile ! old lady turn$ ! tablets ov] & ov]1 till %e _h f\nd ! "o head$ ,,petty ,,ca%4 ,"h's ! place1 %e said at la/1 & "h we h ye/]day's lun*eon duly ent]$4 ,"o glass lemonade 7,:y c't y dr9k wat]1 l me87 ?ree s&wi*es 7,!y nev] put 9 half mu/>d en\gh4 ,i told ! "y woman s1 to h] face2 & %e toss$ h] head--l h] impud5ce67 & sev5 biscuits4 ,total "o-&-two-p5ce4 ,well1 n[ = to-day's8 ,"o glass ( lemonade---- ,cl>a 0 beg9n+ to say1 :5 sudd5ly ! cab drew up1 & a c\rte\s railway-port] 0 h&+ out ! bewild]$ girl be=e %e _h _h "t to f9i% h] s5t5ce4 ,h] aunt pocket$ ! tablets in/antly4 ,bus9ess fir/1 %e said3 petty ca%--:i* is a =m ( pleasure1 :atev] y may ?9k--aft]w>ds4 ,& %e proce$$ to pay ! driv]1 & to give volum9\s ord]s ab\t ! luggage1 q deaf to ! entreaties ( h] unhappy niece t %e w\ld ent] ! re/ ( ! lun*eon acc\nt4 ,my de>1 y really mu/ cultivate a m capaci\s m9d6 0 all ! consolation %e v\*saf$ to ! poor girl4 ,are n ! tablets ( y\r memory wide en\gh to conta9 ! record ( "o s+le lun*eon8 ,n wide en\gh6 ,n half wide en\gh6 0 ! passionate reply4 ,! words came 9 aptly en\gh1 b ! voice 0 n t ( ,cl>a1 & bo? ladies turn$ 9 "s surprise to see :o x 0 t _h s sudd5ly /ruck into _! conv]sation4 ,a fat little old lady 0 /&+ at ! door ( a cab1 help+ ! driv] to extricate :at seem$ an exact duplicate ( h]self3 x w\ld h be5 no easy task to decide :i* 0 ! fatt]1 or :i* look$ ! m good-hum\r$ ( ! two si/]s4 ,i tell y ! cab-door isn't half wide en\gh6 %e repeat$1 z h] si/] f9ally em]g$1 some:at aft] ! fa%ion ( a pellet f a pop-gun1 & %e turn$ to appeal to ,cl>a4 ,is x1 de>8 %e said1 try+ h>d to br+ a fr[n into a face t dimpl$ all ov] ) smiles4 ,"s folks is too wide = 'em1 gr[l$ ! cab-driv]4 ,illu/ration3 ,i ,,tell ,,y ,,! ,,cab-,,door ,,isn',t ,,half ,,wide ,,en\gh6 ,don't provoke me1 man6 cri$ ! little old lady1 9 :at %e meant = a tempe/ ( fury4 ,say ano!r ^w & ,i'll put y into ! ,c\nty ,c\rt1 & sue y = a ,habeas ,corpus6 ,! cabman t\*$ 8 hat1 & m>*$ (f1 gr9n+4 ,no?+ l a little ,law to c[ ! ruffians1 my de>6 %e rem>k$ confid5tially to ,cl>a4 ,y saw h[ he quail$ :5 ,i m5tion$ ! ,habeas ,corpus8 ,n t ,i've any idea :at x means1 b x s\nds v gr&1 doesn't x8 ,x's v provok+1 ,cl>a repli$1 a little vaguely4 ,v6 ! little old lady eag]ly repeat$4 ,& we're v mu* provok$ inde$4 ,ar5't we1 si/]8 ,i nev] 0 s provok$ 9 all my life6 ! fatt] si/] ass5t$1 radiantly4 ,by ?is "t ,cl>a _h recognis$ h] picture-gall]y acqua9tances1 &1 draw+ h] aunt aside1 %e ha/ily :isp]$ h] rem9isc5ces4 ,i met !m fir/ 9 ! ,royal ,academy--& !y 7 v k9d to me--& !y 7 lun*+ at ! next table to u1 j n[1 y "k--& !y tri$ to help me to f9d ! picture ,i want$--& ,i'm sure !y're de> old ?+s6 ,fri5ds ( y\rs1 are !y8 said ,mad ,ma!sis4 ,well1 ,i l _! looks4 ,y c be civil to !m1 :ile ,i get ! tickets4 ,b d try & arrange y\r ideas a little m *ronologically6 ,& s x came to pass t ! f\r ladies f\nd !mselves seat$ side by side on ! same b5* wait+ = ! tra91 & *att+ z if !y _h kn[n "o ano!r = ye>s4 ,n[ ?is ,i call q a rem>kable co9cid5ce6 exclaim$ ! small] & m talkative ( ! two si/]s--! "o ^: legal k _h annihilat$ ! cab-driv]4 ,n only t we %\ld be wait+ = ! same tra91 & at ! same /ation--t w\ld be curi\s en\gh--b actually on ! same day1 & ! same h\r ( ! day6 ,t's :at /rikes me s =cibly6 ,%e glanc$ at ! fatt] & m sil5t si/]1 ^: *ief function 9 life seem$ to be to support ! family op9ion1 & :o meekly respond$-- ,& me too1 si/]6 ,^? are n indep5d5t co9cid5ces---- ,mad ,ma!sis 0 j beg9n+1 :5 ,cl>a v5tur$ to int]pose4 ,!re's no jolt+ "h1 %e plead$ meekly4 ,w\ld y m9d writ+ x d[n n[8 ,out came ! ivory tablets once m4 ,:at 0 x1 !n8 said h] aunt4 ,"o glass ( lemonade1 "o s&wi*1 "o biscuit--,oh de> me6 cri$ poor ,cl>a1 ! hi/orical tone sudd5ly *ang+ to a wail ( agony4 ,too?a*e8 said h] aunt calmly1 z %e wrote d[n ! items4 ,! two si/]s in/antly op5$ _! reticules & produc$ two diff]5t rem$ies = neuralgia1 ea* m>k$ unequall$4 ,x isn't t6 said poor ,cl>a4 ,?ank y v mu*4 ,x's only t ,i c't rememb] h[ mu* ,i paid6 ,well1 try & make x out1 !n1 said h] aunt4 ,y've got ye/]day's lun*eon to help y1 y "k4 ,& "h's ! lun*eon we _h ! day be=e--! fir/ day we w5t to t %op--"o glass lemonade1 f\r s&wi*es1 t5 biscuits4 ,total1 "o-&-fivep5ce4 ,%e h&$ ! tablets to ,cl>a1 :o gaz$ at !m ) eyes s dim ) te>s t %e did n at fir/ notice t %e 0 hold+ !m upside d[n4 ,! two si/]s _h be5 li/5+ to all ?is ) ! deepe/ int]e/1 & at ?is juncture ! small] "o s(tly laid h] h& on ,cl>a's arm4 ,d y "k1 my de>1 %e said coax+ly1 my si/] & ,i are 9 ! v same pr$icam5t6 ,q id5tically ! v same pr$icam5t6 ,ar5't we1 si/]8 ,q id5tically & absolutely ! v---- began ! fatt] si/]1 b %e 0 con/ruct+ h] s5t5ce on too l>ge a scale1 & ! little "o w\ld n wait = h] to f9i% x4 ,yes1 my de>1 %e resum$2 we 7 lun*+ at ! v same %op z y 7--& we _h two glasses ( lemonade & ?ree s&wi*es & five biscuits--& nei!r ( u has ! lea/ idea :at we paid4 ,h we1 si/]8 ,q id5tically & absolutely---- murmur$ ! o!r1 :o evid5tly consid]$ t %e 0 n[ a :ole s5t5ce 9 arre>s1 & t %e ought to dis*>ge "o obligation be=e contract+ any fre% liabilities2 b ! little lady broke 9 aga91 & %e retir$ f ! conv]sation a bankrupt4 ,w\ld y make x out = u1 my de>8 plead$ ! little old lady4 ,y c d ,ari?metic1 ,i tru/8 h] aunt said1 a little anxi\sly1 z ,cl>a turn$ f "o tablet to ano!r1 va9ly try+ to collect h] ?\ghts4 ,h] m9d 0 a blank1 & all human expression 0 rapidly fad+ out ( h] face4 ,a gloomy sil5ce ensu$4 ,,knot ,,viii4 ,,de ,,omnibus ,,rebus4 ,?is little pig w5t to m>ket3 ,?is little pig /aid at home4 ,by ,h] ,radiancy's express comm&1 said ! ,gov]nor1 z he conduct$ ! travell]s1 = ! la/ "t1 f ! ,imp]ial pres5ce1 ,i %all n[ h ! ec/asy ( escort+ y z f> z ! out] gate ( ! ,milit>y ,qu>t]1 :]e ! agony ( p>t+--if inde$ ,nature c survive ! %ock--mu/ be endur$6 ,f t gate grurm/ip?s />t e qu>t] ( an h\r1 bo? ways---- ,w\ld y m9d repeat+ t ^w8 said ,norman4 ,grurm----8 ,grurm/ip?s1 ! ,gov]nor repeat$4 ,y call !m omnibuses 9 ,engl&4 ,!y run bo? ways1 & y c travel by "o ( !m all ! way d[n to ! h>b\r4 ,! old man brea!d a sigh ( relief2 f\r h\rs ( c\rtly c]emony _h we>i$ him1 & he _h be5 9 con/ant t]ror le/ some?+ %\ld call into use ! t5 ?\s& additional bamboos4 ,9 ano!r m9ute !y 7 cross+ a l>ge quadrangle1 pav$ ) m>ble1 & ta/efully decorat$ ) a pig/y 9 ea* corn]4 ,soldi]s1 c>ry+ pigs1 7 m>*+ 9 all directions3 & 9 ! middle /ood a gigantic (fic] giv+ ord]s 9 a voice ( ?und]1 :i* made itself he>d above all ! upro> ( ! pigs4 ,x is ! ,comm&]-9-,*ief6 ! ,gov]nor hurri$ly :isp]$ to 8 companions1 :o at once foll[$ 8 example 9 pro/rat+ !mselves be=e ! great man4 ,! ,comm&] gravely b[$ 9 return4 ,he 0 cov]$ ) gold lace f head to foot3 8 face wore an expression ( deep mis]y3 & he _h a little black pig "u ea* arm4 ,/ill ! gallant fell[ did 8 be/1 9 ! mid/ ( ! ord]s he 0 e mom5t issu+ to 8 m51 to bid a c\rte\s f>ewell to ! dep>t+ gue/s4 ,f>ewell1 oh old "o--c>ry ^! ?ree to ! ,s\? corn]--& f>ewell to !e1 ?\ "y "o--put ?is fat "o on ! top ( ! o!rs 9 ! ,we/]n /y--may y\r %ad[s nev] be less--woe is me1 x is wrongly done6 ,empty out all ! /ies1 & beg9 aga96 ,& ! soldi] leant ^u 8 sword1 & wip$ away a te>4 ,he is 9 di/ress1 ! ,gov]nor expla9$ z !y left ! c\rt4 ,h] ,radiancy has comm&$ him to place tw5ty-f\r pigs 9 ^? f\r /ies1 s t1 z %e goes r\nd ! c\rt1 %e may always f9d ! numb] 9 ea* /y ne>] to t5 ?an ! numb] 9 ! la/4 ,does %e call t5 ne>] to t5 ?an n9e is8 said ,norman4 ,surely1 said ! ,gov]nor4 ,h] ,radiancy w\ld admit t t5 is ne>] to t5 ?an n9e is--& also ne>] ?an elev5 is4 ,!n ,i ?9k x c be done1 said ,norman4 ,! ,gov]nor %ook 8 head4 ,! ,comm&] has be5 transf]r+ !m 9 va9 = f\r mon?s1 he said4 ,:at hope rema9s8 ,& ,h] ,radiancy has ord]$ up t5 ?\s& additional---- ,! pigs don't seem to enjoy be+ transf]r$1 ! old man ha/ily int]rupt$4 ,he did n l ! subject ( bamboos4 ,!y are only provisionally transf]r$1 y "k1 said ! ,gov]nor4 ,9 mo/ cases !y are imm$iately c>ri$ back aga93 s !y ne$ n m9d x4 ,& all is done ) ! greate/ c>e1 "u ! p]sonal sup]9t5d5ce ( ! ,comm&]-9-,*ief4 ,( c\rse %e w\ld only g once r\nd8 said ,norman4 ,alas1 no6 sigh$ _! conductor4 ,r\nd & r\nd4 ,r\nd & r\nd4 ,^! are ,h] ,radiancy's own words4 ,b oh1 agony6 ,"h is ! out] gate1 & we mu/ "p6 ,he sobb$ z he %ook h&s ) !m1 & ! next mom5t 0 briskly walk+ away4 ,he might h wait$ to see u (f6 said ! old man1 pite\sly4 ,& he ne$n't h begun :i/l+ ! v mom5t he left u6 said ! "y "o1 sev]ely4 ,b look %>p--"h are two :at's-8-names 9 ! act ( />t+6 ,unluckily1 ! sea-b\nd omnibus 0 full4 ,nev] m9d6 said ,norman1 *e]ily4 ,we'll walk on till ! next "o ov]takes u4 ,!y trudg$ on 9 sil5ce1 bo? ?9k+ ov] ! milit>y problem1 till !y met an omnibus com+ f ! sea4 ,! eld] travell] took out 8 wat*4 ,j twelve m9utes & a half s9ce we />t$1 he rem>k$ 9 an abs5t mann]4 ,sudd5ly ! vacant face bright5$2 ! old man _h an idea4 ,my boy6 he %\t$1 br++ 8 h& d[n ^u ,norman's %\ld] s sudd5ly z = a mom5t to transf] 8 c5tre ( gravity beyond ! base ( support4 ,?us tak5 (f 8 gu>d1 ! "y man wildly /agg]$ =w>ds1 & seem$ ab\t to plunge into space3 b 9 ano!r mom5t he _h gracefully recov]$ himself4 ,problem 9 ,precession & ,nutation1 he rem>k$--9 tones :]e filial respect only j manag$ to conceal a %ade ( annoyance4 ,:at is x8 he ha/ily add$1 fe>+ 8 fa!r might h be5 tak5 ill4 ,w y h "s br&y8 ,:5 w ! next omnibus ov]take u8 ,:58 ,:58 ! old man cri$1 gr[+ m excit$ e mom5t4 ,norman look$ gloomy4 ,give me "t1 he said4 ,i mu/ ?9k x ov]4 ,& once m ! travell]s pass$ on 9 sil5ce--a sil5ce only brok5 by ! di/ant squeals ( ! un=tunate little pigs1 :o 7 /ill be+ provisionally transf]r$ f /y to /y1 "u ! p]sonal sup]9t5d5ce ( ! ,comm&]-9-,*ief4 ,,knot ,,ix4 ,a ,,s]p5t ,,) ,,corn]s4 ,wat]1 wat]1 e :]e1 ,nor any drop to dr9k4 ,x'll j take "o m pebble4 ,:at ev] are y do+ ) ^? buckets8 ,! speak]s 7 ,hugh & ,lamb]t4 ,place1 ! bea* ( ,little ,m5dip4 ,"t1 #a4cj1 ,p4,m4 ,hugh 0 float+ a bucket 9 ano!r a size l>g]1 & try+ h[ _m pebbles x w\ld c>ry )\t s9k+4 ,lamb]t 0 ly+ on 8 back1 do+ no?+4 ,= ! next m9ute or two ,hugh 0 sil5t1 evid5tly deep 9 ?\ght4 ,sudd5ly he />t$4 ,i say1 look "h1 ,lamb]t6 he cri$4 ,if x's alive1 & slimy1 & ) legs1 ,i don't c>e to1 said ,lamb]t4 ,didn't ,balbus say ?is morn+ t1 if a body is imm]s$ 9 liquid1 x displaces z mu* liquid z is equal to its own bulk8 said ,hugh4 ,he said ?+s ( t sort1 ,lamb]t vaguely repli$4 ,well1 j look "h a m9ute4 ,"h's ! little bucket almo/ q imm]s$3 s ! wat] displac$ ought to be j ab\t ! same bulk4 ,& n[ j look at x6 ,he took out ! little bucket z he spoke1 & h&$ ! big "o to ,lamb]t4 ,:y1 !re's h>dly a teacupful6 ,d y mean to say t wat] is ! same bulk z ! little bucket8 ,c\rse x is1 said ,lamb]t4 ,well1 look "h aga96 cri$ ,hugh1 triumphantly1 z he p\r$ ! wat] f ! big bucket into ! little "o4 ,:y1 x doesn't half fill x6 ,t's its bus9ess1 said ,lamb]t4 ,if ,balbus says x's ! same bulk1 :y1 x is ! same bulk1 y "k4 ,well1 ,i don't believe x1 said ,hugh4 ,y ne$n't1 said ,lamb]t4 ,besides1 x's d9n]-"t4 ,come along4 ,!y f\nd ,balbus wait+ d9n] = !m1 & to him ,hugh at once prop\nd$ 8 difficulty4 ,let's get y help$ fir/1 said ,balbus1 briskly cutt+ away at ! jo9t4 ,y "k ! old prov]b ',mutton fir/1 me*anics aft]w>ds'8 ,! boys did n "k ! prov]b1 b !y accept$ x 9 p]fect good fai?1 z !y did e piece ( in=mation1 h[ev] />tl+1 t came f s infallible an au?ority z _! tutor4 ,!y ate on /eadily 9 sil5ce1 &1 :5 d9n] 0 ov]1 ,hugh set out ! usual array ( p5s1 ink1 & pap]1 :ile ,balbus repeat$ to !m ! problem he _h prep>$ = _! aft]noon's task4 ,a fri5d ( m9e has a fl[]-g>d5--a v pretty "o1 ?\gh no great size-- ,h[ big is x8 said ,hugh4 ,t's :at y h to f9d out6 ,balbus gaily repli$4 ,all ,i tell y is t x is oblong 9 %ape--j half a y>d long] ?an its wid?--& t a gravel-walk1 "o y>d wide1 beg9s at "o corn] & runs all r\nd x4 ,jo9+ into itself8 said ,hugh4 ,n jo9+ into itself1 "y man4 ,j be=e do+ t1 x turns a corn]1 & runs r\nd ! g>d5 aga91 alongside ( ! fir/ portion1 & !n inside t aga91 w9d+ 9 & 91 & ea* lap t\*+ ! la/ "o1 till x has us$ up ! :ole ( ! area4 ,l a s]p5t ) corn]s8 said ,lamb]t4 ,exactly s4 ,& if y walk ! :ole l5g? ( x1 to ! la/ in*1 keep+ 9 ! c5tre ( ! pa?1 x's exactly two miles & half a furlong4 ,n[1 :ile y f9d out ! l5g? & bread? ( ! g>d51 ,i'll see if ,i c ?9k out t sea-wat] puzzle4 ,y said x 0 a fl[]-g>d58 ,hugh inquir$1 z ,balbus 0 leav+ ! room4 ,i did1 said ,balbus4 ,:]e d ! fl[]s gr[8 said ,hugh4 ,b ,balbus ?\ght x be/ n to he> ! "q4 ,he left ! boys to _! problem1 &1 9 ! sil5ce ( 8 own room1 set himself to unravel ,hugh's me*anical p>adox4 ,to fix our ?\ghts1 he murmur$ to himself1 z1 ) h&s deep-buri$ 9 8 pockets1 he pac$ up & d[n ! room1 we w take a cyl9drical glass j>1 ) a scale ( in*es m>k$ up ! side1 & fill x ) wat] up to ! #aj-;in* m>k3 & we w assume t e in* dep? ( j> conta9s a p9t ( wat]4 ,we w n[ take a solid cyl9d]1 su* t e in* ( x is equal 9 bulk to half a p9t ( wat]1 & plunge #d in*es ( x into ! wat]1 s t ! end ( ! cyl9d] comes d[n to ! #f-;in* m>k4 ,well1 t displaces #b p9ts ( wat]4 ,:at becomes ( !m8 ,:y1 if !re 7 no m cyl9d]1 !y w\ld lie com=tably on ! top1 & fill ! j> up to ! #ab-;in* m>k4 ,b un=tunately !re is m cyl9d]1 occupy+ half ! space betwe5 ! #aj-;in* & ! #ab-;in* m>ks1 s t only "o p9t ( wat] c be accommodat$ !re4 ,:at becomes ( ! o!r p9t8 ,:y1 if !re 7 no m cyl9d]1 x w\ld lie on ! top1 & fill ! j> up to ! #ac-;in* m>k4 ,b un=tunately----,%ade ( ,newton6 he exclaim$1 9 sudd5 acc5ts ( t]ror4 ,:5 does ! wat] /op ris+8 ,a bright idea /ruck him4 ,i'll write a little essay on x1 he said4 99 99 99 99 99 ,balbus's ,essay4 ,:5 a solid is imm]s$ 9 a liquid1 x is well kn[n t x displaces a portion ( ! liquid equal to itself 9 bulk1 & t ! level ( ! liquid rises j s mu* z x w\ld rise if a quantity ( liquid _h be5 add$ to x1 equal 9 bulk to ! solid4 ,l>dn] says1 precisely ! same process occurs :5 a solid is p>tially imm]s$3 ! quantity ( liquid displac$1 9 ?is case1 equall+ ! portion ( ! solid :i* is imm]s$1 & ! rise ( ! level be+ 9 proportion4 ,suppose a solid held above ! surface ( a liquid & p>tially imm]s$3 a portion ( ! liquid is displac$1 & ! level ( ! liquid rises4 ,b1 by ?is rise ( level1 a little bit m ( ! solid is ( c\rse imm]s$1 & s !re is a new displacem5t ( a second portion ( ! liquid1 & a consequ5t rise ( level4 ,aga91 ?is second rise ( level causes a yet fur!r imm]sion1 & by consequ5ce ano!r displacem5t ( liquid & ano!r rise4 ,x is self-evid5t t ?is process mu/ cont9ue till ! entire solid is imm]s$1 & t ! liquid w !n beg9 to imm]se :atev] holds ! solid1 :i*1 be+ connect$ ) x1 mu/ = ! "t be consid]$ a "p ( x4 ,if y hold a /ick1 six feet long1 ) its end 9 a tumbl] ( wat]1 & wait long en\gh1 y mu/ ev5tually be imm]s$4 ,! "q z to ! s\rce f :i* ! wat] is suppli$--:i* belongs to a high bran* ( ma!matics1 & is !re=e beyond our pres5t scope--does n apply to ! sea4 ,let u !re=e take ! famili> in/ance ( a man /&+ at ! edge ( ! sea1 at ebb-tide1 ) a solid 9 8 h&1 :i* he p>tially imm]ses3 he rema9s /eadfa/ & unmov$1 & we all "k t he mu/ be dr[n$4 ,! multitudes :o daily p]i% 9 ?is mann] to atte/ a philosophical tru?1 & ^: bodies ! unreason+ wave ca/s sull5ly ^u our ?ankless %ores1 h a tru] claim to be call$ ! m>tyrs ( sci5ce ?an a ,galileo or a ,kepl]4 ,to use ,kossu?'s eloqu5t phrase1 !y are ! unnam$ demigods ( ! n9ete5? c5tury4,b 99 99 99 99 99 ,!re's a fallacy some:]e1 he murmur$ dr[sily1 z he /ret*$ 8 long legs ^u ! s(a4 ,i mu/ ?9k x ov] aga94 ,he clos$ 8 eyes1 9 ord] to conc5trate 8 att5tion m p]fectly1 & = ! next h\r or s 8 sl[ & regul> brea?+ bore witness to ! c>eful delib]ation ) :i* he 0 inve/igat+ ?is new & p]plex+ view ( ! subject4 ,illu/ration3 ,,he ,,rema9s ,,/eadfa/ ,,& ,,unmov$4 ,,footnote3 ,footnote ,b3 ,note by ! writ]4--,= ! above ,essay ,i am indebt$ to a de> fri5d1 n[ deceas$4 ,,knot ,x4 ,,*elsea ,,buns4 ,yea1 buns1 & buns1 & buns6 ,,old ,,song4 ,h[ v1 v sad6 exclaim$ ,cl>a2 & ! eyes ( ! g5tle girl fill$ ) te>s z %e spoke4 ,sad--b v curi\s :5 y come to look at x ari?metically1 0 h] aunt's less romantic reply4 ,"s ( !m h lo/ an arm 9 _! c\ntry's s]vice1 "s a leg1 "s an e>1 "s an eye---- ,& "s1 p]haps1 all6 ,cl>a murmur$ dreamily1 z !y pass$ ! long r[s ( wea!r-beat5 h]oes bask+ 9 ! sun4 ,did y notice t v old "o1 ) a r$ face1 :o 0 draw+ a map 9 ! du/ ) 8 wood5 leg1 & all ! o!rs wat*+8 ,i ?9k x 0 a plan ( a battle---- ,! battle ( ,trafalg>1 no d\bt1 h] aunt int]rupt$1 briskly4 ,h>dly t1 ,i ?9k1 ,cl>a v5tur$ to say4 ,y see1 9 t case1 he c\ldn't well be alive---- ,c\ldn't well be alive6 ! old lady contemptu\sly repeat$4 ,he's z lively z y & me put toge!r6 ,:y1 if draw+ a map 9 ! du/--) "o's wood5 leg--doesn't prove "o to be alive1 p]haps y'll k9dly m5tion :at does prove x6 ,cl>a did n see h] way out ( x4 ,logic _h nev] be5 h] =te4 ,to return to ! ari?metic1 ,mad ,ma!sis resum$--! ecc5tric old lady nev] let slip an opportunity ( driv+ h] niece into a calculation--:at p]c5tage d y suppose mu/ h lo/ all f\r--a leg1 an arm1 an eye1 & an e>8 ,h[ c ,i tell8 gasp$ ! t]rifi$ girl4 ,%e knew well :at 0 com+4 ,y c't1 ( c\rse1 )\t data1 h] aunt repli$3 b ,i'm j go+ to give y---- ,give h] a ,*elsea bun1 ,miss6 ,t's :at mo/ "y ladies likes be/6 ,! voice 0 ri* & musical1 & ! speak] dext]\sly :ipp$ back ! sn[y clo? t cov]$ 8 basket1 & disclos$ a tempt+ array ( ! famili> squ>e buns1 jo9$ toge!r 9 r[s1 ri*ly egg$ & br[n$1 & gli/5+ 9 ! sun4 ,no1 sir6 ,i %all give h] no?+ s indige/ible6 ,be (f6 ,! old lady wav$ h] p>asol ?reat5+ly3 b no?+ seem$ to di/urb ! good-hum\r ( ! jolly old man1 :o m>*$ on1 *ant+ 8 melodi\s refra93-- ,music3 ,*el-sea buns6 ,*el-sea buns hot6 ,*el-sea buns6 ,pi-p+ hot6 ,*el-sea buns hot6 ,*el-sea buns6 ,f> too indige/ible1 my love6 said ! old lady4 ,p]c5tages w agree ) y ev] s mu* bett]6 ,cl>a sigh$1 & !re 0 a hungry look 9 h] eyes z %e wat*$ ! basket less5+ 9 ! di/ance3 b %e meekly li/5$ to ! rel5tless old lady1 :o at once proce$$ to c\nt (f ! data on h] f+]s4 ,say t #gj p] c5t4 h lo/ an eye--#ge p] c5t4 an e>--#hj p] c5t4 an arm--#he p] c5t4 a leg--t'll d x beautifully4 ,n[1 my de>1 :at p]c5tage1 at lea/1 mu/ h lo/ all f\r8 ,no m conv]sation occurr$--unless a smo!r$ exclamation ( ,pip+ hot6 :i* escap$ f ,cl>a's lips z ! basket vani%$ r\nd a corn] c\ld be c\nt$ z su*--until !y rea*$ ! old ,*elsea mansion1 :]e ,cl>a's fa!r 0 !n /ay+1 ) 8 ?ree sons & _! old tutor4 ,balbus1 ,lamb]t1 & ,hugh _h ent]$ ! h\se only a few m9utes be=e !m4 ,!y _h be5 out walk+1 & ,hugh _h be5 prop\nd+ a difficulty :i* _h r$uc$ ,lamb]t to ! dep?s ( gloom1 & _h ev5 puzzl$ ,balbus4 ,x *anges f ,w$nesday to ,?ursday at midnight1 doesn't x8 ,hugh _h begun4 ,sometimes1 said ,balbus1 cauti\sly4 ,always1 said ,lamb]t1 decisively4 ,sometimes1 ,balbus g5tly insi/$4 ,six midnights out ( sev51 x *anges to "s o!r "n4 ,i meant1 ( c\rse1 ,hugh correct$ himself1 :5 x does *ange f ,w$nesday to ,?ursday1 x does x at midnight--& only at midnight4 ,surely1 said ,balbus4 ,lamb]t 0 sil5t4 ,well1 n[1 suppose x's midnight "h 9 ,*elsea4 ,!n x's ,w$nesday we/ ( ,*elsea 7say 9 ,irel& or ,am]ica7 :]e midnight hasn't arriv$ yet3 & x's ,?ursday ea/ ( ,*elsea 7say 9 ,g]many or ,russia7 :]e midnight has j pass$ by8 ,surely1 ,balbus said aga94 ,ev5 ,lamb]t nodd$ ?is "t4 ,b x isn't midnight1 any:]e else2 s x c't be *ang+ f "o day to ano!r any:]e else4 ,& yet1 if ,irel& & ,am]ica & s on call x ,w$nesday1 & ,g]many & ,russia & s on call x ,?ursday1 !re mu/ be "s place--n ,*elsea--t has diff]5t days on ! two sides ( x4 ,& ! wor/ ( x is1 ! p !re get _! days 9 ! wrong ord]3 !y've got ,w$nesday ea/ ( !m1 & ,?ursday we/--j z if _! day _h *ang$ f ,?ursday to ,w$nesday6 ,i've he>d t puzzle be=e6 cri$ ,lamb]t4 ,& ,i'll tell y ! explanation4 ,:5 a %ip goes r\nd ! _w f ea/ to we/1 we "k t x loses a day 9 its reckon+3 s t :5 x gets home1 & calls its day ,w$nesday1 x f9ds p "h call+ x ,?ursday1 because we've _h "o m midnight ?an ! %ip has _h4 ,& :5 y g ! o!r way r\nd y ga9 a day4 ,i "k all t1 said ,hugh1 9 reply to ?is n v lucid explanation3 b x doesn't help me1 because ! %ip hasn't prop] days4 ,"o way r\nd1 y get m ?an tw5ty-f\r h\rs to ! day1 & ! o!r way y get less3 s ( c\rse ! names get wrong3 b p t live on 9 "o place always get tw5ty-f\r h\rs to ! day4 ,i suppose !re is su* a place1 ,balbus said1 m$itatively1 ?\gh ,i nev] he>d ( x4 ,& ! p mu/ f9d x v que]1 z ,hugh says1 to h ! old day ea/ ( !m1 & ! new "o we/3 because1 :5 midnight comes r\nd to !m1 ) ! new day 9 front ( x & ! old "o beh9d x1 "o doesn't see exactly :at happ5s4 ,i mu/ ?9k x ov]4 ,s !y _h ent]$ ! h\se 9 ! /ate ,i h describ$--,balbus puzzl$1 & ,lamb]t buri$ 9 gloomy ?\ght4 ,yes1 m'm1 ,ma/] is at home1 m'm1 said ! /ately old butl]4 7,n4,b4--,x is only a butl] ( exp]i5ce :o c manage a s]ies ( ?ree ,m's toge!r1 )\t any int]jac5t v[els47 ,& ! ole p>ty is a-wait+ = y 9 ! lib]y4 ,i don't l 8 call+ y\r fa!r an old p>ty1 ,mad ,ma!sis :isp]$ to h] niece1 z !y cross$ ! hall4 ,& ,cl>a _h only j "t to :isp] 9 reply he meant ! :ole p>ty1 be=e !y 7 u%]$ into ! libr>y1 & ! sight ( ! five solemn faces !re assembl$ *ill$ h] into sil5ce4 ,h] fa!r sat at ! head ( ! table1 & mutely sign$ to ! ladies to take ! two vacant *airs1 "o on ea* side ( him4 ,8 ?ree sons & ,balbus complet$ ! p>ty4 ,writ+ mat]ials _h be5 arrang$ r\nd ! table1 aft] ! fa%ion ( a gho/ly banquet3 ! butl] _h evid5tly be/[$ mu* ?\ght on ! grim device4 ,%eets ( qu>to pap]1 ea* flank$ by a p5 on "o side & a p5cil on ! o!r1 repres5t$ ! plates--p5wip]s did duty = rolls ( bread--:ile ink-bottles /ood 9 ! places usually occupi$ by w9e-glasses4 ,! pice de resi/ance 0 a l>ge gre5 baize bag1 :i* gave =?1 z ! old man re/lessly lift$ x f side to side1 a *>m+ j+le1 z ( innum]able gold5 gu9eas4 ,si/]1 daught]1 sons--& ,balbus--1 ! old man began1 s n]v\sly1 t ,balbus put 9 a g5tle ,he>1 he>6 :ile ,hugh drumm$ on ! table ) 8 fi/s4 ,?is disconc]t$ ! unpractis$ orator4 ,si/]-- he began aga91 !n paus$ a mom5t1 mov$ ! bag to ! o!r side1 & w5t on ) a ru%1 ,i mean--?is be+--a critical occasion--m or less--be+ ! ye> :5 "o ( my sons comes ( age-- he paus$ aga9 9 "s confusion1 hav+ evid5tly got into ! middle ( 8 spee* soon] ?an he int5d$3 b x 0 too late to g back4 ,he>1 he>6 cri$ ,balbus4 ,q s1 said ! old g5tleman1 recov]+ 8 self-possession a little3 :5 fir/ ,i began ?is annual cu/om--my fri5d ,balbus w correct me if ,i am wrong-- 7,hugh :isp]$ ) a /rap6 b nobody he>d him except ,lamb]t1 :o only fr[n$ & %ook 8 head at him7 --?is annual cu/om ( giv+ ea* ( my sons z _m gu9eas z w\ld repres5t 8 age--x 0 a critical "t--s ,balbus in=m$ me--z ! ages ( two ( y 7 toge!r equal to t ( ! ?ird--s on t occasion ,i made a spee*---- ,he paus$ s long t ,balbus ?\ght x well to come to ! rescue ) ! words ,x 0 a mo/---- b ! old man *eck$ him ) a w>n+ look3 yes1 made a spee*1 he repeat$4 ,a few ye>s aft] t1 ,balbus po9t$ out--,i say po9t$ out-- 7,he>1 he>6 cri$ ,balbus4 ,q s1 said ! grateful old man47 --t x 0 ano!r critical occasion4 ,! ages ( two ( y 7 toge!r d\ble t ( ! ?ird4 ,s ,i made ano!r spee*--ano!r spee*4 ,& n[ aga9 x's a critical occasion--s ,balbus says--& ,i am mak+---- 7,"h ,mad ,ma!sis po9t$ly ref]r$ to h] wat*7 all ! ha/e ,i c6 ! old man cri$1 ) wond]ful pres5ce ( m9d4 ,inde$1 si/]1 ,i'm com+ to ! po9t n[6 ,! numb] ( ye>s t h pass$ s9ce t fir/ occasion is j two-?irds ( ! numb] ( gu9eas ,i !n gave y4 ,n[1 my boys1 calculate y\r ages f ! data1 & y %all h ! money6 ,b we "k our ages6 cri$ ,hugh4 ,sil5ce1 sir6 ?und]$ ! old man1 ris+ to 8 full height 7he 0 exactly five-foot five7 9 8 indignation4 ,i say y mu/ use ! data only6 ,y mu/n't ev5 assume :i* x is t comes ( age6 ,he clut*$ ! bag z he spoke1 & ) tott]+ /eps 7x 0 ab\t z mu* z he c\ld d to c>ry x7 he left ! room4 ,& y %all h a simil> cadeau1 ! old lady :isp]$ to h] niece1 :5 y've calculat$ t p]c5tage6 ,& %e foll[$ h] bro!r4 ,no?+ c\ld exce$ ! solemnity ) :i* ! old c\ple _h ris5 f ! table1 & yet 0 x--0 x a gr9 ) :i* ! fa!r turn$ away f 8 unhappy sons8 ,c\ld x be--c\ld x be a w9k ) :i* ! aunt ab&on$ h] despair+ niece8 ,& 7 ^?--7 ^? s\nds ( suppress$ *uckl+ :i* float$ into ! room1 j be=e ,balbus 7:o _h foll[$ !m out7 clos$ ! door8 ,surely n3 & yet ! butl] told ! cook--b no1 t 0 m]ely idle gossip1 & ,i w n repeat x4 ,! %ades ( ev5+ grant$ _! unutt]$ petition1 & clos$ n o'er !m 7= ! butl] br\ght 9 ! lamp73 ! same oblig+ %ades left !m a lonely b>k 7! wail ( a dog1 9 ! back-y>d1 bay+ ! moon7 = a:ile3 b nei!r morn1 alas1 7nor any o!r epo*7 seem$ likely to re/ore !m--to t peace ( m9d :i* _h once be5 !irs ere ev] ^! problems _h swoop$ ^u !m1 & cru%$ !m ) a load ( unfa?omable my/]y6 ,x's h>dly fair1 mutt]$ ,hugh1 to give u su* a jumble z ?is to "w out6 ,fair8 ,cl>a e*o$1 bitt]ly4 ,well6 ,& to all my read]s ,i c b repeat ! la/ words ( g5tle ,cl>a-- ,,f>e-,,well6 ,,app5dix4 ,a knot6 said ,alice4 ,oh1 d let me help to undo x6 ,,answ]s ,,to ,,knot ,i4 ,problem4--,two travell]s sp5d f #c o'clock till #i 9 walk+ along a level road1 up a hill1 & home aga93 _! pace on ! level be+ #d miles an h\r1 up hill #c1 & d[n hill #f4 ,f9d di/ance walk$3 also 7)9 half an h\r7 "t ( rea*+ top ( hill4 ,answ]4--#bd miles3 half-pa/ #f4 99 99 99 99 99 ,solution4--,a level mile takes #a_/d ( an h\r1 up hill #a_/c1 d[n hill #a_/f4 ,h5ce to g & return ov] ! same mile1 :e!r on ! level or on ! hill-side1 takes #a_/b an h\r4 ,h5ce 9 #f h\rs !y w5t #ab miles out & #ab back4 ,if ! #ab miles out _h be5 ne>ly all level1 !y w\ld h tak5 a little ov] #c h\rs2 if ne>ly all up hill1 a little "u #d4 ,h5ce #c-a_/b h\rs mu/ be )9 #a_/b an h\r ( ! "t tak5 9 rea*+ ! peak2 ?us1 z !y />t$ at #c1 !y got !re )9 #a_/b an h\r ( #a_/b pa/ #f4 99 99 99 99 99 ,tw5ty-sev5 answ]s h come 94 ,( ^!1 #i are "r1 #af p>tially "r1 & #b wrong4 ,! #af give ! di/ance correctly1 b !y h fail$ to grasp ! fact t ! top ( ! hill might h be5 rea*$ at any mom5t betwe5 #f o'clock & #g4 ,! two wrong answ]s are f ,,g]ty ,,v]non & ,a ,,nihili/4 ,! =m] makes ! di/ance #bc miles1 :ile h] revolution>y companion puts x at #bg4 ,,g]ty ,,v]non says !y _h to g #d miles along ! pla91 & got to ! foot ( ! hill at #d o'clock4 ,!y might h done s1 ,i grant2 b y h no gr\nd = say+ !y did s4 ,x 0 #g-a_/b miles to ! top ( ! hill1 & !y rea*$ t at #a_/d be=e #g o'clock4 ,"h y g wrong 9 y\r ari?metic1 & ,i mu/1 h[ev] reluctantly1 bid y f>ewell4 #g-a_/b miles1 at #c miles an h\r1 w\ld n require #b-c_/d h\rs4 ,a ,,nihili/ says ,let x d5ote ! :ole numb] ( miles2 y ! numb] ( h\rs to hill-top2 9999 !re=e #cy numb] ( miles to hill-top1 & x-#cy numb] ( miles on ! o!r side4 ,y bewild] me4 ,! o!r side ( :at8 ,( ! hill1 y say4 ,b !n1 h[ did !y get home aga98 ,h[ev]1 to accommodate y\r views we w build a new ho/elry at ! foot ( ! hill on ! opposite side1 & also assume 7:at ,i grant y is possible1 ?\gh x is n necess>ily true7 t !re 0 no level road at all4 ,ev5 !n y g wrong4 ,y say y #f - 7x - #cy7_/#f1 44444 7i72 x_/#d-a_/b #f 44444 7ii74 ,i grant y 7i71 b ,i d5y 7ii73 x re/s on ! assumption t to g "p ( ! "t at #c miles an h\r1 & ! re/ at #f miles an h\r1 comes to ! same result z go+ ! :ole "t at #d-a_/b miles an h\r4 ,b ?is w\ld only be true if ! "p 7 an exact half1 i4e41 if !y w5t up hill = #c h\rs1 & d[n hill = ! o!r #c3 :i* !y c]ta9ly did n d4 ,! sixte51 :o are p>tially "r1 are ,,agnes ,,bailey1 ,f4 ,k41 ,,fifee1 ,g4 ,e4 ,b41 ,h4 ,p41 ,,kit1 ,m4 ,e4 ,t41 ,,mysie1 ,a ,,"m',s ,,son1 ,,nairam1 ,a ,,r$ru?ian1 ,a ,,sociali/1 ,,spe> ,,maid51 ,t4 ,b4 ,c41 ,,vis ,,in]ti1 & ,,yak4 ,( ^!1 ,f4 ,k41 ,,fifee1 ,t4 ,b4 ,c41 & ,,vis ,,in]ti d n attempt ! second "p at all4 ,f4 ,k4 & ,h4 ,p4 give no work+4 ,! re/ make p>ticul> assumptions1 su* z t !re 0 no level road--t !re 7 #f miles ( level road--& s on1 all lead+ to p>ticul> times be+ fix$ = rea*+ ! hill-top4 ,! mo/ curi\s assumption is t ( ,,agnes ,,bailey1 :o says ,let x numb] ( h\rs occupi$ 9 asc5t2 !n x_/#b h\rs occupi$ 9 desc5t2 & #dx_/#c h\rs occupi$ on ! level4 ,i suppose y 7 ?9k+ ( ! relative rates1 up hill & on ! level2 :i* we might express by say+ t1 if !y w5t x miles up hill 9 a c]ta9 "t1 !y w\ld g #dx_/#c miles on ! level 9 ! same "t4 ,y h1 9 fact1 assum$ t !y took ! same "t on ! level t !y took 9 asc5d+ ! hill4 ,,fifee assumes t1 :5 ! ag$ knight said !y _h gone f\r miles 9 ! h\r on ! level1 he meant t f\r miles 0 ! di/ance gone1 n m]ely ! rate4 ,?is w\ld h be5--if ,,fifee w excuse ! slang expression--a sell1 ill-suit$ to ! dignity ( ! h]o4 ,& n[ desc5d1 ye classic ,n9e6 :o h solv$ ! :ole problem1 & let me s+ y\r praises4 ,y\r names are ,,bli!1 ,e4 ,w41 ,l4 ,b41 ,a ,,m>lbor\gh ,,boy1 ,o4 ,v4 ,l41 ,,putney ,,walk]1 ,,rose1 ,,sea ,,breeze1 ,,simple ,,susan1 & ,,money ,,sp9n]4 7,^! la/ two ,i c\nt z "o1 z !y s5d a jo9t answ]47 ,,rose & ,,simple ,,susan & ,,co4 d n actually /ate t ! hill-top 0 rea*$ "s "t betwe5 #f & #g1 b1 z !y h cle>ly grasp$ ! fact t a mile1 asc5d$ & desc5d$1 took ! same "t z two level miles1 ,i m>k !m z "r4 ,a ,,m>lbor\gh ,,boy & ,,putney ,,walk] des]ve hon\rable m5tion = _! algebraical solutions be+ ! only two :o h p]ceiv$ t ! "q leads to an indet]m9ate equation4 ,e4 ,w4 br+s a *>ge ( untru?fulness aga9/ ! ag$ knight--a s]i\s *>ge1 = he 0 ! v p9k ( *ivalry6 ,%e says ,accord+ to ! data giv51 ! "t at ! summit af=ds no clue to ! total di/ance4 ,x does n enable u to /ate precisely to an in* h[ mu* level & h[ mu* hill !re 0 on ! road4 ,fair damsel1 ! ag$ knight replies1 --if1 z ,i surmise1 ?y initials d5ote ,e>ly ,womanhood--be?9k !e t ! ^w 'enable' is ?9e1 n m9e4 ,i did b ask ! "t ( rea*+ ! hill-top z my condition = fur!r p>ley4 ,if n[ ?\ wilt n grant t ,i am a tru?-lov+ man1 !n w ,i affirm t ^? same initials d5ote ,env5om$ ,wick$ness6 ,,class ,,li/4 ,i4 ,a ,,m>lbor\gh ,,boy4 ,,putney ,,walk]4 ,,ii4 ,,bli!4 ,e4 ,w4 ,l4 ,b4 ,o4 ,v4 ,l4 ,,rose4 ,,sea ,,breeze4 ,,simple ,,susan4 ,,money-,,sp9n]4 ,,bli! has made s +5i\s an addition to ! problem1 & ,,simple ,,susan & ,,co4 h solv$ x 9 su* tuneful v]se1 t ,i record bo? _! answ]s 9 full4 ,i h alt]$ a ^w or two 9 ,,bli!',s--:i* ,i tru/ %e w excuse2 x did n seem q cle> z x /ood4 99 99 99 99 99 ,yet /ay1 said ! y\?1 z a gleam ( inspiration light$ up ! relax+ muscles ( 8 quiesc5t features4 ,/ay4 ,me?9ks x matt]s little :5 we rea*$ t summit1 ! cr[n ( our toil4 ,= 9 ! space ( "t :]e9 we clamb]$ up "o mile & b\nd$ d[n ! same on our return1 we c\ld h trudg$ ! twa9 on ! level4 ,we h plodd$1 !n1 f\r-&-tw5ty miles 9 ^! six mortal h\rs2 = nev] a mom5t did we /op = cat*+ ( fleet+ brea? or = gaz+ on ! sc5e ar\nd6 ,v good1 said ! old man4 ,twelve miles out & twelve miles 94 ,& we rea*$ ! top "s "t betwe5 six & sev5 ( ! clock4 ,n[ m>k me6 ,= e five m9utes t _h fl$ s9ce six ( ! clock :5 we /ood on yond] peak1 s _m miles _h we toil$ upw>ds on ! dre>y m\nta9side6 ,! y\? moan$ & ru%$ into ! ho/el4 ,,bli!4 ,! eld] & ! y\ng] knight1 ,!y salli$ =? at ?ree2 ,h[ f> !y w5t on level gr\nd ,x matt]s n to me2 ,:at "t !y rea*$ ! foot ( hill1 ,:5 !y began to m\nt1 ,are problems :i* ,i hold to be ,( v small acc\nt4 ,! mom5t t ea* wav$ 8 hat ,^u ! topmo/ peak-- ,to trivial qu]y su* z ?is ,no answ] w ,i seek4 ,yet c ,i tell ! di/ance well ,!y mu/ h travell$ o'er3 ,on hill & pla91 'twixt ?ree & n9e1 ,! miles 7 tw5ty-f\r4 ,f\r miles an h\r _! /eady pace ,along ! level track1 ,?ree :5 !y climb$--b six :5 !y ,came swiftly /rid+ back ,ad[n ! hill2 & little skill ,x ne$s1 me?9ks1 to %[1 ,up hill & d[n toge!r told1 ,f\r miles an h\r !y g4 ,= :e!r long or %ort ! "t ,^u ! hill !y sp5t1 ,two ?irds 7 pass$ 9 go+ up1 ,"o ?ird 9 ! desc5t4 ,two ?irds at ?ree1 "o ?ird at six1 ,if rightly reckon$ o'er1 ,w make "o :ole at f\r--! tale ,is tangl$ n[ no m4 ,,simple ,,susan4 ,,money ,,sp9n]4 ,,answ]s ,,to ,,knot ,,ii4 #a4 ,,! ,,d9n] ,,p>ty4 ,problem4--,! ,gov]nor ( ,kgovjni wants to give a v small d9n] p>ty1 & invites 8 fa!r's bro!r-9-law1 8 bro!r's fa!r-9-law1 8 fa!r-9-law's bro!r1 & 8 bro!r-9-law's fa!r4 ,f9d ! numb] ( gue/s4 ,answ]4--,"o4 99 99 99 99 99 ,9 ?is g5ealogy1 males are d5ot$ by capitals1 & females by small lett]s4 ,! ,gov]nor is ,e & 8 gue/ is ,c4 ,a a ----------- b ,b ,d d ,c c ----- -- e ,e g ,g ,f f ,t5 answ]s h be5 receiv$4 ,( ^!1 "o is wrong1 ,,galan?us ,,nivalis ,,major1 :o insi/s on invit+ two gue/s1 "o be+ ! ,gov]nor's wife's bro!r's fa!r4 ,if %e _h tak5 8 si/]'s husb&'s fa!r in/ead1 %e w\ld h f\nd x possible to r$uce ! gue/s to "o4 ,( ! n9e :o s5d "r answ]s1 ,,sea-,,breeze is ! v fa9te/ brea? t ev] bore ! "n6 ,%e simply /ates t ! ,gov]nor's uncle might fulfill all ! conditions by int]m>riages6 ,w9d ( ! we/]n sea1 y h _h a v n>r[ escape6 ,be ?ankful to appe> 9 ! ,class-li/ at all6 ,,bog-,,oak & ,,brad%aw ,,( ,,! ,,future use g5ealogies :i* require #af p in/ead ( #ad1 by invit+ ! ,gov]nor's fa!r's si/]'s husb& in/ead ( 8 fa!r's wife's bro!r4 ,i _c ?9k ?is s good a solution z "o t requires only #ad4 ,,caius & ,,val5t9e des]ve special m5tion z ! only two :o h suppli$ g5ealogies4 ,,class ,,li/4 ,i4 ,,bee4 ,,caius4 ,m4 ,m4 ,,mat!w ,,matticks4 ,,old ,,cat4 ,,val5t9e4 ,,ii4 ,,bog-,,oak4 ,,brad%aw ,,( ,,! ,,future4 ,,iii4 ,,sea-,,breeze4 #b4 ,,! ,,lodg+s4 ,problem4--,a ,squ>e has #bj doors on ea* side1 :i* conta9s #ba equal p>ts4 ,!y are numb]$ all r\nd1 beg9n+ at "o corn]4 ,f :i* ( ! f\r1 ,nos4 #i1 #be1 #eb1 #gc1 is ! sum ( ! di/ances1 to ! o!r ?ree1 lea/8 ,answ]4--,f ,no4 #i4 99 99 99 99 99 ,illu/ration ,let ,a be ,no4 #i1 ,b ,no4 #be1 ,c ,no4 #eb1 & ,d ,no4 #gc4 ,!n ,,ab 9999 sqrt7#abb #eb7 9999 sqrt#afi #ac2 ,,ac #ba2 ,,ad 9999 sqrt7#ib #hb7 9999 sqrt#ade #ab 7,n4,b4 i4e4 betwe5 #ab & #ac47 ,,bc 9999 sqrt7#afb #abb7 9999 sqrt#djj #bj2 ,,bd 9999 sqrt7#cb #bab7 9999 sqrt#dej #ba2 ,,cd 9999 sqrt7#ib #acb7 9999 sqrt#bej #ae2 ,h5ce sum ( di/ances f ,a is betwe5 #df & #dg2 f ,b1 betwe5 #ed & #ee2 f ,c1 betwe5 #ef & #eg2 f ,d1 betwe5 #dh & #ea4 7,:y n betwe5 #dh & #di8 ,make ?is out = y\rselves47 ,h5ce ! sum is lea/ = ,a4 99 99 99 99 99 ,tw5ty-five solutions h be5 receiv$4 ,( ^!1 #ae mu/ be m>k$ #j1 #e are p>tly "r1 & #e "r4 ,( ! #ae1 ,i may dismiss ,,alphabetical ,,phantom1 ,,bog-,,oak1 ,,d9ah ,,mite1 ,,fifee1 ,,galan?us ,,nivalis ,,major 7,i fe> ! cold spr+ has blight$ our ,,sn[drop71 ,,guy1 ,h4,m4,s4 ,,p9a=e1 ,,janet1 & ,,val5t9e ) ! simple rem>k t !y insi/ on ! un=tunate lodg]s keep+ to ! pavem5t4 7,i us$ ! words cross$ to ,numb] ,sev5ty-?ree = ! special purpose ( %[+ t %ort cuts 7 possible47 ,,sea-,,breeze does ! same1 & adds t ! result w\ld be ! same ev5 if !y cross$ ! ,squ>e1 b gives no pro( ( ?is4 ,m4 ,m4 draws a diagram1 & says t ,no4 #i is ! h\se1 z ! diagram %[s4 ,i _c see h[ x does s4 ,,old ,,cat assumes t ! h\se mu/ be ,no4 #i or ,no4 #gc4 ,%e does n expla9 h[ %e e/imates ! di/ances4 ,,bee's ,ari?metic is faulty3 %e makes 9999 sqrt#afi 9999 sqrt#ddb 9999 sqrt#acj #gda4 7,i suppose y mean 9999 sqrt#gda1 :i* w\ld be a little ne>] ! tru?4 ,b roots _c be add$ 9 ?is mann]4 ,d y ?9k 9999 sqrt#i 9999 sqrt#af is #be1 or ev5 9999 sqrt#be87 ,b ,,ayr',s /ate is m p]il\s /ill3 %e draws illogical conclusions ) a frightful calmness4 ,aft] po9t+ out 7rightly7 t ,,ac is less ?an ,,bd %e says1 !re=e ! ne>e/ h\se to ! o!r ?ree mu/ be ,a or ,c4 ,& aga91 aft] po9t+ out 7rightly7 t ,b & ,d are bo? )9 ! half-squ>e conta9+ ,a1 %e says !re=e ,,ab ,,ad mu/ be less ?an ,,bc ,,cd4 7,!re is no logical =ce 9 ei!r !re=e4 ,= ! fir/1 try ,nos4 #a1 #ba1 #fj1 #gj3 ?is w make y\r premiss true1 & y\r conclusion false4 ,simil>ly1 = ! second1 try ,nos4 #a1 #cj1 #ea1 #ga47 ,( ! five p>tly-"r solutions1 ,,rags ,,& ,,tatt]s & ,,mad ,,hatt] 7:o s5d "o answ] betwe5 !m7 make ,no4 #be #f units f ! corn] in/ead ( #e4 ,,*eam1 ,e4 ,r4 ,d4 ,l41 & ,,meggy ,,potts leave op5+s at ! corn]s ( ! ,squ>e1 :i* are n 9 ! data3 moreov] ,,*eam gives values = ! di/ances )\t any h9t t !y are only approximations4 ,,crophi ,,& ,,mophi make ! bold & unf\nd$ assumption t !re 7 really #ba h\ses on ea* side1 in/ead ( #bj z /at$ by ,balbus4 ,we may assume1 !y add1 t ! doors ( ,nos4 #ba1 #db1 #fc1 #hd1 are invisible f ! c5tre ( ! ,squ>e6 ,:at is !re1 ,i wond]1 t ,,crophi ,,& ,,mophi w\ld n assume8 ,( ! five :o are :olly "r1 ,i ?9k ,,brad%aw ,,( ,,! ,,future1 ,,caius1 ,,clifton ,c41 & ,,m>treb des]ve special praise = _! full analytical solutions4 ,,mat!w ,,matticks picks out ,no4 #i1 & proves x to be ! "r h\se 9 two ways1 v neatly & +5i\sly1 b :y he picks x out does n appe>4 ,x is an excell5t syn!tical pro(1 b lacks ! analysis :i* ! o!r f\r supply4 ,,class ,,li/4 ,i4 ,,brad%aw ,,( ,,! ,,future ,,caius4 ,,clifton ,c4 ,,m>treb4 ,,ii4 ,,mat!w ,,matticks4 ,,iii4 ,,*eam4 ,,crophi ,,& ,,mophi4 ,e4 ,r4 ,d4 ,l4 ,,meggy ,,potts4 ,,rags ,,& ,,tatt]s4 ,,mad ,,hatt]4 ,a remon/rance has rea*$ me f ,,scrutator on ! subject ( ,,knot ,i41 :i* he decl>es 0 no problem at all4 ,two que/ions1 he says1 are put4 ,to solve "o !re is no data3 ! o!r answ]s itself4 ,z to ! fir/ po9t1 ,,scrutator is mi/ak52 !re are 7n is7 data suffici5t to answ] ! "q4 ,z to ! o!r1 x is int]e/+ to "k t ! "q answ]s itself1 & ,i am sure x does ! "q great cr$it3 /ill ,i fe> ,i _c ent] x on ! li/ ( w9n]s1 z ?is competition is only op5 to human be+s4 ,,answ]s ,,to ,,knot ,,iii4 ,problem4--7#a7 ,two travell]s1 />t+ at ! same "t1 w5t opposite ways r\nd a circul> railway4 ,tra9s />t ea* way e #ae m9utes1 ! ea/]ly ones go+ r\nd 9 #c h\rs1 ! we/]ly 9 #b4 ,h[ _m tra9s did ea* meet on ! way1 n c\nt+ tra9s met at ! t]m9us itself8 7#b7 ,!y w5t r\nd1 z be=e1 ea* travell] c\nt+ z '"o' ! tra9 conta9+ ! o!r travell]4 ,h[ _m did ea* meet8 ,answ]s4--7#a7 #ai4 7#b7 ,! ea/]ly travell] met #ab2 ! o!r #h4 99 99 99 99 99 ,! tra9s "o way took #ahj m9utes1 ! o!r way #abj4 ,let u take ! ,l4 ,c4 ,m41 #cfj1 & divide ! railway into #cfj units4 ,!n "o set ( tra9s w5t at ! rate ( #b units a m9ute & at int]vals ( #cj units2 ! o!r at ! rate ( #c units a m9ute & at int]vals ( #de units4 ,an ea/]ly tra9 />t+ has #de units betwe5 x & ! fir/ tra9 x w meet3 x does #b-e?s ( ?is :ile ! o!r does #c-e?s1 & ?us meets x at ! end ( #ah units1 & s all ! way r\nd4 ,a we/]ly tra9 />t+ has #cj units betwe5 x & ! fir/ tra9 x w meet3 x does #c-e?s ( ?is :ile ! o!r does #b-e?s1 & ?us meets x at ! end ( #ah units1 & s all ! way r\nd4 ,h5ce if ! railway be divid$1 by #ai po/s1 into #bj p>ts1 ea* conta9+ #ah units1 tra9s meet at e po/1 &1 9 7#a71 ea* travell] passes #ai po/s 9 go+ r\nd1 & s meets #ai tra9s4 ,b1 9 7#b71 ! ea/]ly travell] only beg9s to c\nt aft] trav]s+ #b-e?s ( ! j\rney1 i4e41 on rea*+ ! #h? po/1 & s c\nts #ab po/s3 simil>ly ! o!r c\nts #h4 ,!y meet at ! end ( #b-e?s ( #c h\rs1 or #c-e?s ( #b h\rs1 i4e41 #gb m9utes4 99 99 99 99 99 ,=ty-five answ]s h be5 receiv$4 ,( ^! #ab are beyond ! rea* ( discussion1 z !y give no work+4 ,i c b enum]ate _! names4 ,,ardmore1 ,e4 ,a41 ,f4 ,a4 ,d41 ,l4 ,d41 ,,mat!w ,,matticks1 ,m4 ,e4 ,t41 ,,poo-,,poo1 & ,,! ,,r$ ,,que5 are all wrong4 ,,beta & ,,r[5a h got 7#a7 "r & 7#b7 wrong4 ,,*eeky ,,bob & ,,nairam give ! "r answ]s1 b x may p]haps make ! "o less *eeky1 & induce ! o!r to take a less inv]t$ view ( ?+s1 to be in=m$ t1 if ?is _h be5 a competition = a prize1 !y w\ld h got no m>ks4 ,n4,b4--,i h n v5tur$ to put ,e4 ,a4's "n 9 full1 z %e only gave x provisionally1 9 case h] answ] %\ld prove "r4 ,( ! #cc answ]s = :i* ! work+ is giv51 #aj are wrong2 #aa half-wrong & half-"r2 #c "r1 except t !y *]i% ! delusion t x 0 ,cl>a :o travell$ 9 ! ea/]ly tra9--a po9t :i* ! data d n enable u to settle2 & #i :olly "r4 ,! #aj wrong answ]s are f ,,bo-,,peep1 ,,f9anci]1 ,i4 ,w4 ,t41 ,,kate ,b41 ,m4 ,a4 ,h41 ,q4 ,y4 ,z41 ,,sea-,,gull1 ,,?i/l$[n1 ,,tom-,,quad1 & an unsign$ "o4 ,,bo-,,peep rightly says t ! ea/]ly travell] met all tra9s :i* />t$ dur+ ! #c h\rs ( h] trip1 z well z all :i* />t$ dur+ ! previ\s #b h\rs1 i4e41 all :i* />t$ at ! comm5cem5ts ( #bj p]iods ( #ae m9utes ea*2 & %e is "r 9 /rik+ out ! "o %e met at ! mom5t ( />t+2 b wrong 9 /rik+ out ! la/ tra91 = %e did n meet ?is at ! t]m9us1 b #ae m9utes be=e %e got !re4 ,%e makes ! same mi/ake 9 7#b74 ,,f9anci] ?9ks t any tra91 met = ! second "t1 is n to be c\nt$4 ,i4 ,w4 ,t4 f9ds1 by a process :i* is n /at$1 t ! travell]s met at ! end ( #ga m9utes & #bf-a_/b seconds4 ,,kate ,b4 ?9ks ! tra9s :i* are met on />t+ & on arriv+ are nev] to be c\nt$1 ev5 :5 met else:]e4 ,q4 ,y4 ,z4 tries a r complex algebraical solution1 & succe$s 9 f9d+ ! "t ( meet+ correctly3 all else is wrong4 ,,sea-,,gull seems to ?9k t1 9 7#a71 ! ea/]ly tra9 /ood /ill = #c h\rs2 & says t1 9 7#b71 ! travell]s met at ! end ( #ga m9utes #dj seconds4 ,,?i/l$[n nobly confesses to hav+ tri$ no calculation1 b m]ely hav+ drawn a picture ( ! railway & c\nt$ ! tra9s2 9 7#a71 %e c\nts wrong2 9 7#b7 %e makes !m meet 9 #ge m9utes4 ,,tom-,,quad omits 7#a73 9 7#b7 he makes ,cl>a c\nt ! tra9 %e met on h] arrival4 ,! unsign$ "o is also un9telligible2 x /ates t ! travell]s g #a-bd? m ?an ! total di/ance to be trav]s$6 ,! ,cl>a !ory1 already ref]r$ to1 is adopt$ by #e ( ^!1 viz41 ,,bo-,,peep1 ,,f9anci]1 ,,kate ,b41 ,,tom-,,quad1 & ! nameless writ]4 ,! #aa half-"r answ]s are f ,,bog-,,oak1 ,,bridget1 ,,ca/or1 ,,*e%ire ,,cat1 ,g4 ,e4 ,b41 ,,guy1 ,,m>y1 ,m4 ,a4 ,h41 ,,old ,,maid1 ,r4 ,w41 & ,,v5dr$i4 ,all ^! adopt ! ,cl>a !ory4 ,,ca/or omits 7#a74 ,,v5dr$i gets 7#a7 "r1 b 9 7#b7 makes ! same mi/ake z ,,bo-,,peep4 ,i notice 9 y\r solution a m>vell\s proportion-sum3--#cjj miles3 #b h\rs 33 "o mile3 #bd seconds4 ,may ,i v5ture to advise y\r acquir+1 z soon z possible1 an utt] disbelief 9 ! possibility ( a ratio exi/+ betwe5 miles & h\rs8 ,d n be di%e>t5$ by y\r two fri5ds' s>ca/ic rem>ks on y\r r\ndab\t ways4 ,_! %ort me?od1 ( add+ #ab & #h1 has ! slight disadvantage ( br++ ! answ] wrong3 ev5 a r\ndab\t me?od is bett] ?an t6 ,m4 ,a4 ,h41 9 7#b71 makes ! travell]s c\nt "o aft] !y met1 n :5 !y met4 ,,*e%ire ,,cat & ,,old ,,maid get #bj z answ] = 7#a71 by =gett+ to /rike out ! tra9 met on arrival4 ,! o!rs all get #ah 9 v>i\s ways4 ,,bog-,,oak1 ,,guy1 & ,r4 ,w4 divide ! tra9s :i* ! we/]ly travell] has to meet into #b sets1 viz41 ^? already on ! l9e1 :i* !y 7rightly7 make #aa1 & ^? :i* />t$ dur+ h] #b h\rs' j\rney 7exclusive ( tra9 met on arrival71 :i* !y 7wrongly7 make #g2 & !y make a simil> mi/ake ) ! ea/]ly tra94 ,,bridget 7rightly7 says t ! we/]ly travell] met a tra9 e #f m9utes = #b h\rs1 b 7wrongly7 makes ! numb] #bj2 x %\ld be #ba4 ,g4 ,e4 ,b4 adopts ,,bo-,,peep',s me?od1 b 7wrongly7 /rikes out 7= ! ea/]ly travell]7 ! tra9 :i* />t$ at ! comm5cem5t ( ! previ\s #b h\rs4 ,,m>y ?9ks a tra91 met on arrival1 mu/ n be c\nt$1 ev5 :5 met on a previ\s occasion4 ,! #c1 :o are :olly "r b = ! un=tunate ,cl>a !ory1 are ,f4 ,,lee1 ,g4 ,s4 ,c41 & ,x4 ,a4 ,b4 ,& n[ desc5d1 ye classic ,t56 :o h solv$ ! :ole problem4 ,y\r names are ,,aix-,,les-,,ba9s1 ,,alg]non ,,bray 7?anks = a fri5dly rem>k1 :i* comes ) a he>t-w>m? t n ev5 ! ,atlantic c\ld *ill71 ,,arvon1 ,,brad%aw ,,( ,,! ,,future1 ,,fifee1 ,h4 ,l4 ,r41 ,j4 ,l4 ,o41 ,,omega1 ,s4 ,s4 ,g41 & ,,wait+ ,,= ,,! ,,tra94 ,sev]al ( ^! h put ,cl>a1 provisionally1 into ! ea/]ly tra93 b !y seem to h und]/ood t ! data d n decide t po9t4 ,,class ,,li/4 ,i4 ,,aix-,,les-,,ba9s4 ,,alg]non ,,bray4 ,,brad%aw ,,( ,,! ,,future4 ,,fifee4 ,h4 ,l4 ,r4 ,,omega4 ,s4 ,s4 ,g4 ,,wait+ ,,= ,,! ,,tra94 ,,ii4 ,,arvon4 ,j4 ,l4 ,o4 ,,iii4 ,f4 ,,lee4 ,g4 ,s4 ,c4 ,x4 ,a4 ,b4 ,,answ]s ,,to ,,knot ,,iv4 ,problem4--,!re are #e sacks1 ( :i* ,nos4 #a1 #b1 weigh #ab lbs42 ,nos4 #b1 #c1 #ac-a_/b lbs42 ,nos4 #c1 #d1 #aa-a_/b lbs42 ,nos4 #d1 #e1 #h lbs42 ,nos4 #a1 #c1 #e1 #af lbs4 ,requir$ ! weight ( ea* sack4 ,answ]4--#e-a_/b1 #f-a_/b1 #g1 #d-a_/b1 #c-a_/b4 99 99 99 99 99 ,! sum ( all ! weigh+s1 #fa lbs41 includes sack ,no4 #c ?rice & ea* o!r twice4 ,d$uct+ twice ! sum ( ! #a/ & #d? weigh+s1 we get #ba lbs4 = ?rice ,no4 #c1 i4e41 #g lbs4 = ,no4 #c4 ,h5ce1 ! #bnd & #crd weigh+s give #f-a_/b lbs41 #d-a_/b lbs4 = ,nos4 #b1 #d2 & h5ce aga91 ! #a/ & #d? weigh+s give #e-a_/b lbs41 #c-a_/b lbs41 = ,nos4 #a1 #e4 99 99 99 99 99 ,n9ety-sev5 answ]s h be5 receiv$4 ,( ^!1 #ae are beyond ! rea* ( discussion1 z !y give no work+4 ,i c b enum]ate _! names1 & ,i take ?is opportunity ( say+ t ?is is ! la/ "t ,i %all put on record ! names ( competitors :o give no sort ( clue to ! process by :i* _! answ]s 7 obta9$4 ,9 guess+ a conundrum1 or 9 cat*+ a flea1 we d n expect ! brea?less victor to give u aft]w>ds1 9 cold blood1 a hi/ory ( ! m5tal or muscul> ef=ts by :i* he a*iev$ success2 b a ma!matical calculation is ano!r ?+4 ,! names ( ?is mute +lori\s b& are ,,common ,,s5se1 ,d4 ,e4 ,r41 ,,d\glas1 ,e4 ,l41 ,,ell51 ,i4 ,m4 ,t41 ,j4 ,m4 ,c41 ,,joseph1 ,,knot ,i1 ,,lucy1 ,,meek1 ,m4 ,f4 ,c41 ,,pyramus1 ,,%ah1 ,,v]itas4 ,( ! eighty-two answ]s ) :i* ! work+1 or "s approa* to x1 is suppli$1 "o is wrong3 sev5te5 h giv5 solutions :i* are 7f "o cause or ano!r7 practically valueless3 ! rema9+ sixty-f\r ,i %all try to arrange 9 a ,class-li/1 accord+ to ! v>y+ degrees ( %ortness & neatness to :i* !y seem to h atta9$4 ,! solit>y wrong answ] is f ,,nell4 ,to be ?us alone 9 ! cr[d is a di/9ction--a pa9ful "o1 no d\bt1 b /ill a di/9ction4 ,i am sorry = y1 my de> "y lady1 & ,i seem to he> y\r te>ful exclamation1 :5 y read ^! l9es1 ,ah6 ,?is is ! knell ( all my hopes6 ,:y1 oh :y1 did y assume t ! #d? & #e? bags weigh$ #d lbs4 ea*8 ,& :y did y n te/ y\r answ]s8 ,h[ev]1 please try aga93 & please don't *ange y\r nom-de-plume3 let u h ,,nell 9 ! ,fir/ ,class next "t6 ,! sev5te5 ^: solutions are practically valueless are ,,ardmore1 ,a ,,ready ,,reckon]1 ,,ar?ur1 ,,bog-,,l>k1 ,,bog-,,oak1 ,,bridget1 ,,fir/ ,,attempt1 ,j4 ,l4 ,c41 ,m4 ,e4 ,t41 ,,rose1 ,,r[5a1 ,,sea-,,breeze1 ,,sylvia1 ,,?i/l$[n1 ,,?ree-,,fif?s ,,asleep1 ,,v5dr$i1 & ,,w9ifr$4 ,,bog-,,l>k tries x by a sort ( rule ( false1 assum+ exp]im5tally t ,nos4 #a1 #b1 weigh #f lbs4 ea*1 & hav+ ?us produc$ #ag-a_/b1 in/ead ( #af1 z ! weight ( #a1 #c1 & #e1 %e removes ! sup]flu\s p\nd & a half1 b does n expla9 h[ %e kn[s f :i* to take x4 ,,?ree-,,fif?s ,,asleep says t 7:5 9 t peculi> /ate7 x seem$ p]fectly cle> to h] t1 #c out ( ! #e sacks be+ weigh$ twice ov]1 #c_/e ( #de #bg1 mu/ be ! total weight ( ! #e sacks4 ,z to :i* ,i c only say1 ) ! ,capta91 x beats me entirely6 ,,w9ifr$1 on ! plea t "o mu/ h a />t+-po9t1 assumes 7:at ,i fe> is a m]e guess7 t ,no4 #a weigh$ #e-a_/b lbs4 ,! re/ all d x1 :olly or p>tly1 by guess-"w4 ,! problem is ( c\rse 7z any ,algebrai/ sees at once7 a case ( simultane\s simple equations4 ,x is1 h[ev]1 easily soluble by ,ari?metic only2 &1 :5 ?is is ! case1 ,i hold t x is bad workman%ip to use ! m complex me?od4 ,i h n1 ?is "t1 giv5 m cr$it to ari?metical solutions2 b 9 future problems ,i %all 7o!r ?+s be+ equal7 give ! highe/ m>ks to ^? :o use ! simple/ ma*9]y4 ,i h put into ,class ,i4 ^? ^: answ]s seem$ specially %ort & neat1 & into ,class ,,iii4 ^? t seem$ specially long or clumsy4 ,( ?is la/ set1 ,a4 ,c4 ,m41 ,,furze-,,bu%1 ,,james1 ,,p>tridge1 ,r4 ,w41 & ,,wait+ ,,= ,,! ,,tra91 h s5t long w&]+ solutions1 ! sub/itutions hav+ no def9ite me?od1 b seem+ to h be5 made to see :at w\ld come ( x4 ,,*ilpome & ,,dubl9 ,,boy omit "s ( ! work+4 ,,arvon ,,m>lbor\gh ,,boy only f9ds ! weight ( "o sack4 ,,class ,,li/ ,i4 ,b4 ,e4 ,d4 ,c4 ,h4 ,,con/ance ,,johnson4 ,,grey/ead4 ,,guy4 ,,hoopoe4 ,j4 ,f4 ,a4 ,m4 ,a4 ,h4 ,,numb] ,,five4 ,,p$ro4 ,r4 ,e4 ,x4 ,,sev5 ,,old ,,m54 ,,vis ,,in]ti4 ,,willy ,b4 ,,yahoo4 ,,ii4 ,,am]ican ,,subscrib]4 ,,an ,,appreciative ,,s*oolma',,am4 ,,ayr4 ,,brad%aw ,,( ,,! ,,future4 ,,*eam4 ,c4 ,m4 ,g4 ,,d9ah ,,mite4 ,,duckw+4 ,e4 ,c4 ,m4 ,e4 ,n4 ,l[ry4 ,,era4 ,,euroclydon4 ,f4 ,h4 ,w4 ,,fifee4 ,g4 ,e4 ,b4 ,,h>lequ94 ,,haw?orn4 ,,h\gh ,,gre54 ,j4 ,a4 ,b4 ,,jack ,,t>4 ,j4 ,b4 ,b4 ,,kgovjni4 ,,l& ,,lubb]4 ,l4 ,d4 ,,magpie4 ,,m>y4 ,,mhruxi4 ,,m9nie4 ,,money-,,sp9n]4 ,,nairam4 ,,old ,,cat4 ,,poli*9elle4 ,,simple ,,susan4 ,s4 ,s4 ,g4 ,,?isbe4 ,,v]5a4 ,,wamba4 ,,wolfe4 ,,wykehamicus4 ,y4 ,m4 ,a4 ,h4 ,,iii4 ,a4 ,c4 ,m4 ,,arvon ,,m>lbor\gh ,,boy4 ,,*ilpome4 ,,dubl9 ,,boy4 ,,furze-,,bu%4 ,,james4 ,,p>tridge4 ,r4 ,w4 ,,wait+ ,,= ,,! ,,tra94 ,,answ]s ,,to ,,knot ,v4 ,problem4--,to m>k pictures1 giv+ #c x's to #b or #c1 #b to #d or #e1 & #a to #i or #aj2 also giv+ #c o's to #a or #b1 #b to #c or #d & #a to #h or #i2 s z to m>k ! smalle/ possible numb] ( pictures1 & to give !m ! l>ge/ possible numb] ( m>ks4 ,answ]4--#aj pictures2 #bi m>ks2 arrang$ ?us3-- x x x x x x x x x o x x x x x o o o o x x o o o o o o o o ,solution4--,by giv+ all ! x's possible1 putt+ into brackets ! optional ones1 we get #aj pictures m>k$ ?us3-- x x x x x x x x x 7x7 x x x x 7x7 x x 7x7 ,by !n assign+ o's 9 ! same way1 beg9n+ at ! o!r end1 we get #i pictures m>k$ ?us3-- 7o7 o 7o7 o o o 7o7 o o o o o o o o ,all we h n[ to d is to run ^! two w$ges z close toge!r z !y w g1 s z to get ! m9imum numb] ( pictures----eras+ optional m>ks :]e by s do+ we c run !m clos]1 b o!rwise lett+ !m /&4 ,!re are #aj necess>y m>ks 9 ! #a/ r[1 & 9 ! #crd2 b only #g 9 ! #bnd4 ,h5ce we erase all optional m>ks 9 ! #a/ & #crd r[s1 b let !m /& 9 ! #bnd4 99 99 99 99 99 ,tw5ty-two answ]s h be5 receiv$4 ,( ^! #aa give no work+2 s1 9 accordance ) :at ,i ann\nc$ 9 my la/ review ( answ]s1 ,i leave !m unnam$1 m]ely m5tion+ t #e are "r & #f wrong4 ,( ! elev5 answ]s ) :i* "s work+ is suppli$1 #c are wrong4 ,c4 ,h4 beg9s ) ! ra% ass]tion t "u ! giv5 conditions ! sum is impossible4 ,=1 he or %e adds 7^! initial$ correspond5ts are dismally vague be+s to deal )3 p]haps x w\ld be a bett] pron\n71 #aj is ! lea/ possible numb] ( pictures 7grant$73 !re=e we mu/ ei!r give #b x's to #f1 or #b o's to #e4 ,:y mu/1 oh alphabetical phantom8 ,x is n[h]e orda9$ t e picture mu/ h #c m>ks6 ,,fifee s5ds a folio page ( solution1 :i* des]v$ a bett] fate3 %e (f]s #c answ]s1 9 ea* ( :i* #aj pictures are m>k$1 ) #cj m>ks2 9 "o %e gives #b x's to #f pictures2 9 ano!r to #g2 9 ! #crd %e gives #b o's to #e2 ?us 9 e case ignor+ ! conditions4 7,i pause to rem>k t ! condition #b x's to #d or #e pictures c only mean ei!r to #d or else to #e3 if1 z "o competitor holds1 x might mean any numb] n less ?an #d1 ! words or #e w\ld be sup]flu\s47 ,i4 ,e4 ,a4 7,i am happy to say t none ( ^! bloodless phantoms appe> ?is "t 9 ! class-li/4 ,is x ,,idea ) ! ,d left out87 gives #b x's to #f pictures4 ,%e !n takes me to task = us+ ! ^w ought in/ead ( n\ght4 ,no d\bt1 to "o :o ?us rebels aga9/ ! rules laid d[n = h] guidance1 ! ^w mu/ be di/a/eful4 ,b does n ,i4 ,e4 ,a4 rememb] ! p>allel case ( add]8 ,t creature 0 orig9ally a nadd]3 !n ! two words took to b&y+ ! poor n backw>ds & =w>ds l a %uttlecock1 ! f9al /ate ( ! game be+ an add]4 ,may n a n\ght h simil>ly become an ought8 ,anyh[1 oughts & crosses is a v old game4 ,i don't ?9k ,i ev] he>d x call$ n\ghts & crosses4 ,9 ! foll[+ ,class-li/1 ,i hope ! solit>y occupant ( ,,iii4 w %ea! h] claws :5 %e he>s h[ n>r[ an escape %e has _h ( n be+ nam$ at all4 ,h] acc\nt ( ! process by :i* %e got ! answ] is s meagre t1 l ! nurs]y tale ( ,jack-a-,m9ory 7,i tru/ ,i4 ,e4 ,a4 w be m]ciful to ! spell+71 x is sc>cely to be di/+ui%$ f z]o4 ,,class ,,li/4 ,i4 ,,guy4 ,,old ,,cat4 ,,sea-,,breeze4 ,,ii4 ,,ayr4 ,,brad%aw ,,( ,,! ,,future4 ,f4 ,,lee4 ,h4 ,,v]non4 ,,iii4 ,,cat4 ,,answ]s ,,to ,,knot ,,vi4 ,problem #a4--;,a & ,b began ! ye> ) only #a1jjjl4 a-piece4 ,!y borr[$ n\ght2 !y /ole n\ght4 ,on ! next ,new-,ye>'s ,day !y _h #fj1jjjl4 betwe5 !m4 ,h[ did !y d x8 ,solution4--,!y w5t t day to ! ,bank ( ,engl&4 ,a /ood 9 front ( x1 :ile ,b w5t r\nd & /ood beh9d x4 99 99 99 99 99 ,two answ]s h be5 receiv$1 bo? wor?y ( mu* hon\r4 ,,addlepate makes !m borr[ #j & /eal #j1 & uses bo? cyph]s by putt+ !m at ! "r-h& end ( ! #a1jjjl41 ?us produc+ #ajj1jjjl41 :i* is well ov] ! m>k4 ,b 7or to express x 9 ,lat97 ,,at ,,spes ,,infracta has solv$ x ev5 m +5i\sly3 ) ! fir/ cyph] %e turns ! #a ( ! #a1jjjl4 into a #i1 & adds ! result to ! orig9al sum1 ?us gett+ #aj1jjjl43 & 9 ?is1 by means ( ! o!r #j1 %e turns ! #a into a #f1 ?us hitt+ ! exact #fj1jjjl4 ,,class ,,li/ ,i4 ,,at ,,spes ,,infracta4 ,,ii4 ,,addlepate4 99 99 99 99 99 ,problem #b4--,l makes #e sc>ves1 :ile ,m makes #b3 ,z makes #d :ile ,l makes #c4 ,five sc>ves ( ,z's weigh "o ( ,l's2 #e ( ,m's weigh #c ( ,z's4 ,"o ( ,m's is z w>m z #d ( ,z's3 & "o ( ,l's z w>m z #c ( ,m's4 ,:i* is be/1 giv+ equal weight 9 ! result to rapidity ( "w1 lightness1 & w>m?8 ,answ]4--,! ord] is ,m1 ,l1 ,z4 99 99 99 99 99 ,solution4--,z to rapidity 7o!r ?+s be+ con/ant7 ,l's m]it is to ,m's 9 ! ratio ( #e to #b3 ,z's to ,l's 9 ! ratio ( #d to #c4 ,9 ord] to get "o set ( #c numb]s fulfill+ ^! conditions1 x is p]haps simple/ to take ! "o t occurs twice z unity1 & r$uce ! o!rs to fractions3 ?is gives1 = ,l1 ,m1 & ,z1 ! m>ks #a1 #b_/e1 #d_/c4 ,9 e/imat+ = lightness1 we obs]ve t ! great] ! weight1 ! less ! m]it1 s t ,z's m]it is to ,l's z #e to #a4 ,?us ! m>ks = lightness are #a_/e1 #e_/c1 #a4 ,& simil>ly1 ! m>ks = w>m? are #c1 #a1 #a_/d4 ,to get ! total result1 we mu/ multiply ,l's #c m>ks toge!r1 & d ! same = ,m & = ,z4 ,! f9al numb]s are #a #a_/e #c1 #b_/e #e_/c #a1 #d_/c #a #a_/d2 i4e4 #c_/e1 #b_/c1 #a_/c2 i4e4 multiply+ ?r\gh\t by #ae 7:i* w n alt] ! proportion71 #i1 #aj1 #e2 %[+ ! ord] ( m]it to be ,m1 ,l1 ,z4 99 99 99 99 99 ,tw5ty-n9e answ]s h be5 receiv$1 ( :i* five are "r1 & tw5ty-f\r wrong4 ,^! hapless ones h all 7) ?ree exceptions7 fall5 into ! error ( add+ ! proportional numb]s toge!r1 = ea* c&idate1 in/ead ( multiply+4 ,:y ! latt] is "r1 r ?an ! =m]1 is fully prov$ 9 text-books1 s ,i w n occupy space by /at+ x "h3 b x c be illu/rat$ v easily by ! case ( l5g?1 bread?1 & dep?4 ,suppose ,a & ,b are rival digg]s ( rectangul> tanks3 ! am\nt ( "w done is evid5tly measur$ by ! numb] ( cubical feet dug out4 ,let ,a dig a tank #aj feet long1 #aj wide1 #b deep3 let ,b dig "o #f feet long1 #e wide1 #aj deep4 ,! cubical cont5ts are #bjj1 #cjj2 i4e4 ,b is be/ digg] 9 ! ratio ( #c to #b4 ,n[ try m>k+ = l5g?1 wid?1 & dep?1 sep>ately2 giv+ a maximum m>k ( #aj to ! be/ 9 ea* conte/1 & !n add+ ! results6 ,( ! tw5ty-f\r malefactors1 "o gives no work+1 & s has no real claim to be nam$2 b ,i break ! rule = once1 9 def]5ce to its success 9 ,problem #a3 he1 %e1 or x1 is ,,addlepate4 ,! o!r tw5ty-?ree may be divid$ into five gr\ps4 ,fir/ & wor/ are1 ,i take x1 ^? :o put ! rightful w9n] la/2 arrang+ !m z ,lolo1 ,zuzu1 ,mimi4 ,! names ( ^! desp]ate wrong-do]s are ,,ayr1 ,,brad%aw ,,( ,,! ,,future1 ,,furze-,,bu% & ,,pollux 7:o s5d a jo9t answ]71 ,,grey/ead1 ,,guy1 ,,old ,,h51 & ,,simple ,,susan4 ,! latt] 0 once be/ ( all2 ! ,old ,h5 has tak5 advantage ( h] simplicity1 & beguil$ h] ) ! *aff :i* 0 ! bane ( h] own *ick5hood4 ,secondly1 ,i po9t ! f+] ( scorn at ^? :o h put ! wor/ c&idate at ! top2 arrang+ !m z ,zuzu1 ,mimi1 ,lolo4 ,!y are ,,graecia1 ,m4 ,m41 ,,old ,,cat1 & ,r4 ,e4 ,x4 ',tis ,greece1 b----4 ,! ?ird set h avoid$ bo? ^! enormities1 & h ev5 succe$$ 9 putt+ ! wor/ la/1 _! answ] be+ ,lolo1 ,mimi1 ,zuzu4 ,_! names are ,,ayr 7:o also appe>s among ! q too too71 ,,clifton ,c41 ,f4 ,b41 ,,fifee1 ,,grig1 ,,janet1 & ,,mrs4 ,,sairey ,,gamp4 ,f4 ,b4 has n fall5 into ! common error2 %e multiplies toge!r ! proportionate numb]s %e gets1 b 9 gett+ !m %e goes wrong1 by reckon+ w>m? z a de-m]it4 ,possibly %e is ,fre%ly ,burnt1 or comes ,f ,bombay4 ,,janet & ,,mrs4 ,,sairey ,,gamp h also avoid$ ?is error3 ! me?od !y h adopt$ is %r\d$ 9 my/]y--,i sc>cely feel compet5t to criticize x4 ,,mrs4 ,,gamp says if ,zuzu makes #d :ile ,lolo makes #c1 ,zuzu makes #f :ile ,lolo makes #e 7bad reason+71 :ile ,mimi makes #b4 ,f ?is %e concludes !re=e ,zuzu excels 9 spe$ by #a 7i4e4 :5 comp>$ ) ,lolo2 b :at ab\t ,mimi874 ,%e !n comp>es ! #c k9ds ( excell5ce1 measur$ on ?is my/ic scale4 ,,janet takes ! /atem5t1 t ,lolo makes #e :ile ,mimi makes #b1 to prove t ,lolo makes #c :ile ,mimi makes #a & ,zuzu #d 7worse reason+ ?an ,,mrs4 ,,gamp',s71 & !nce concludes t ,zuzu excels 9 spe$ by #a_/h6 ,,janet %\ld h be5 ,,adel9e1 my/]y ( my/]ies6 ,! f\r? set actually put ,mimi at ! top1 arrang+ !m z ,mimi1 ,zuzu1 ,lolo4 ,!y are ,,m>quis ,,& ,,co41 ,,m>treb1 ,s4 ,b4 ,b4 7fir/ initial sc>cely legible3 may be meant = ,j71 & ,,/anza4 ,! fif? set consi/ ( ,,an ,,anci5t ,,fi% & ,,camel4 ,^! ill-assort$ comrades1 by d9t ( foot & f91 h scrambl$ into ! "r answ]1 b1 z _! me?od is wrong1 ( c\rse x c\nts = no?+4 ,also ,,an ,,anci5t ,,fi% has v anci5t & fi%like ideas z to h[ numb]s repres5t m]it3 %e says ,lolo ga9s #b-a_/b on ,mimi4 ,two & a half :at8 ,fi%1 fi%1 art ?\ 9 ?y duty8 ,( ! five w9n]s ,i put ,,balbus & ,,! ,,eld] ,,travell] slightly bel[ ! o!r ?ree--,,balbus = defective reason+1 ! o!r = scanty work+4 ,,balbus gives two reasons = say+ t addition ( m>ks is n ! "r me?od1 & !n adds x foll[s t ! decision mu/ be made by multiply+ ! m>ks toge!r4 ,?is is h>dly m logical ?an to say ,?is is n ,spr+3 !re=e x mu/ be ,autumn4 ,,class ,,li/4 ,i4 ,,d9ah ,,mite4 ,e4 ,b4 ,d4 ,l4 ,,joram4 ,,ii4 ,,balbus4 ,,! ,,eld] ,,travell]4 99 99 99 99 99 ,) reg>d to ,knot ,v41 ,i beg to express to ,,vis ,,in]ti & to any o!rs :o1 l h]1 und]/ood ! condition to be t e m>k$ picture mu/ h ?ree m>ks1 my s9c]e regret t ! un=tunate phrase fill ! columns ) oughts & crosses %\ld h caus$ !m to wa/e s mu* "t & tr\ble4 ,i c only repeat t a lit]al int]pretation ( fill w\ld seem to me to require t e picture 9 ! gall]y %\ld be m>k$4 ,,vis ,,in]ti w\ld h be5 9 ! ,fir/ ,class if %e _h s5t 9 ! solution %e n[ (f]s4 ,,answ]s ,,to ,,knot ,,vii4 ,problem4--,giv5 t "o glass ( lemonade1 #c s&wi*es1 & #g biscuits1 co/ #as4 #b;d42 & t "o glass ( lemonade1 #d s&wi*es1 & #aj biscuits1 co/ #as4 #e;d43 f9d ! co/ ( 7#a7 a glass ( lemonade1 a s&wi*1 & a biscuit2 & 7#b7 #b glasses ( lemonade1 #c s&wi*es1 & #e biscuits4 ,answ]4--7#a7 #h;d42 7#b7 #as4 #g;d4 ,solution4--,?is is be/ treat$ algebraically4 ,let x ! co/ 79 p5ce7 ( a glass ( lemonade1 y ( a s&wi*1 & z ( a biscuit4 ,!n we h x #cy #gz #ad1 & x #dy #ajz #ag4 ,& we require ! values ( x y z1 & ( #bx #cy #ez4 ,n[1 f two equations only1 we _c f9d1 sep>ately1 ! values ( ?ree unkn[ns3 c]ta9 comb9ations ( !m may1 h[ev]1 be f\nd4 ,also we "k t we c1 by ! help ( ! giv5 equations1 elim9ate #b ( ! #c unkn[ns f ! quantity ^: value is requir$1 :i* w !n conta9 "o only4 ,if1 !n1 ! requir$ value is asc]ta9able at all1 x c only be by ! #crd unkn[n vani%+ ( itself3 o!rwise ! problem is impossible4 ,let u !n elim9ate lemonade & s&wi*es1 & r$uce ev]y?+ to biscuits--a /ate ( ?+s ev5 m depress+ ?an if all ! _w 7 apple-pie--by subtract+ ! #a/ equation f ! #bnd1 :i* elim9ates lemonade1 & gives y #cz #c1 or y #c-cz2 & !n sub/itut+ ?is value ( y 9 ! #a/1 :i* gives x-#bz #e1 i4e4 x #e #bz4 ,n[ if we sub/itute ^! values ( x1 y1 9 ! quantities ^: values are requir$1 ! fir/ becomes 7#e #bz7 7#c-cz7 z1 i4e4 #h3 & ! second becomes #b7e #bz7 #c7c-cz7 #ez1 i4e4 #ai4 ,h5ce ! answ]s are 7#a7 #h;d41 7#b7 #as4 #g;d4 99 99 99 99 99 ,! above is a univ]sal me?od3 t is1 x is absolutely c]ta9 ei!r to produce ! answ]1 or to prove t no answ] is possible4 ,! "q may also be solv$ by comb9+ ! quantities ^: values are giv51 s z to =m ^? ^: values are requir$4 ,?is is m]ely a matt] ( +5uity & good luck3 & z x may fail1 ev5 :5 ! ?+ is possible1 & is ( no use 9 prov+ x impossible1 ,i _c rank ?is me?od z equal 9 value ) ! o!r4 ,ev5 :5 x succe$s1 x may prove a v t$i\s process4 ,suppose ! #bf competitors1 :o h s5t 9 :at ,i may call accid5tal solutions1 _h _h a "q to deal ) :]e e numb] conta9$ #h or #aj digits6 ,i suspect x w\ld h be5 a case ( silv]$ is ! rav5 hair 7see ,pati5ce7 be=e any solution w\ld h be5 hit on by ! mo/ +5i\s ( !m4 ,=ty-five answ]s h come 91 ( :i* #dd give1 ,i am happy to say1 "s sort ( work+1 & !re=e des]ve to be m5tion$ by "n1 & to h _! virtues1 or vices z ! case may be1 discuss$4 ,?irte5 h made assumptions to :i* !y h no "r1 & s _c figure 9 ! ,class-li/1 ev5 ?\gh1 9 #aj ( ! #ac cases1 ! answ] is "r4 ,( ! rema9+ #bh1 no less ?an #bf h s5t 9 accid5tal solutions1 & !re=e fall %ort ( ! highe/ hon\rs4 ,i w n[ discuss individual cases1 tak+ ! wor/ fir/1 z my cu/om is4 ,,froggy gives no work+--at lea/ ?is is all he gives3 aft] /at+ ! giv5 equations1 he says !re=e ! diff]5ce1 #a s&wi* #c biscuits1 #c;d43 !n foll[ ! am\nts ( ! unkn[n bills1 ) no fur!r h9t z to h[ he got !m4 ,,froggy has _h a v n>r[ escape ( n be+ nam$ at all6 ,( ^? :o are wrong1 ,,vis ,,in]ti has s5t 9 a piece ( incorrect work+4 ,p]use ! horrid details1 & %udd]6 ,%e takes x 7call x y7 z ! co/ ( a s&wi*1 & concludes 7rightly en\gh7 t a biscuit w co/ 7#c-y7_/#c4 ,%e !n subtracts ! second equation f ! fir/1 & d$uces #cy #g 7#c-y7_/#c-dy #aj 7#c-y7_/#c #c4 ,by mak+ two mi/akes 9 ?is l9e1 %e br+s out y #c_/b4 ,try x aga91 oh ,,vis ,,in]ti6 ,away ) ,,in]ti3 infuse a little m ,,vis3 & y w br+ out ! correct 7?\gh un9t]e/+7 result1 #j #j6 ,?is w %[ y t x is hopeless to try to coax any "o ( ^! #c unkn[ns to reveal its sep>ate value4 ,! o!r competitor1 :o is wrong ?r\gh\t1 is ei!r ,j4 ,m4 ,c4 or ,t4 ,m4 ,c43 b1 :e!r he be a ,juv5ile ,mis-,calculator or a ,true ,ma!matician ,confus$1 he makes ! answ]s #g;d4 & #as4 #e;d4 ,he assumes1 ) ,too ,mu* ,confid5ce1 t biscuits 7 #a_/b;d4 ea*1 & t ,cl>a paid = #h1 ?\gh %e only ate #g6 ,we w n[ consid] ! #ac ^: work+ is wrong1 ?\gh ! answ] is "r3 &1 n to measure _! dem]its too exactly1 ,i w take !m 9 alphabetical ord]4 ,,anita f9ds 7rightly7 t #a s&wi* & #c biscuits co/ #c;d41 & proce$s !re=e #a s&wi* #a-a_/b;d41 #c biscuits #a-a_/b;d41 #a lemonade #f;d4 ,,d9ah ,,mite beg9s l ,,anita3 & !nce proves 7rightly7 t a biscuit co/s less ?an a #a;d43 :5ce %e concludes 7wrongly7 t x mu/ co/ #a_/b;d4 ,f4 ,c4 ,w4 is s beautifully resign$ to ! c]ta9ty ( a v]dict ( guilty1 t ,i h h>dly ! he>t to utt] ! ^w1 )\t add+ a recomm5d$ to m]cy ow+ to ext5uat+ circum/ances4 ,b really1 y "k1 :]e are ! ext5uat+ circum/ances8 ,%e beg9s by assum+ t lemonade is #d;d4 a glass1 & s&wi*es #c;d4 ea*1 7mak+ ) ! #b giv5 equations1 f\r conditions to be fulfill$ by ?ree mis]able unkn[ns674 ,&1 hav+ 7naturally7 develop$ ?is into a contradiction1 %e !n tries #e;d4 & #b;d4 ) a simil> result4 7,n4,b4 ,?is process might h be5 c>ri$ on ?r\gh ! :ole ( ! ,t]ti>y ,p]iod1 )\t gratify+ "o s+le ,mega!rium47 ,%e !n1 by a happy ?\ght1 tries half-p5ny biscuits1 & s obta9s a consi/5t result4 ,?is may be a good solution1 view+ ! problem z a conundrum3 b x is n sci5tific4 ,,janet id5tifies s&wi*es ) biscuits6 ,"o s&wi* #c biscuits %e makes equal to #d4 ,f\r :at8 ,,mayfair makes ! a/\nd+ ass]tion t ! equation1 s #c;b #c1 is evid5tly only satisfi$ by s #c_/b1 b #a_/b6 ,,old ,,cat believes t ! assumption t a s&wi* co/s #a-a_/b;d4 is ! only way to avoid unmanageable fractions4 ,b :y avoid !m8 ,is !re n a c]ta9 gl[ ( triumph 9 tam+ su* a fraction8 ,ladies & g5tlem51 ! fraction n[ be=e y is "o t = ye>s defi$ all ef=ts ( a ref9+ nature3 x 01 9 a ^w1 hopelessly vulg>4 ,treat+ x z a circulat+ decimal 7! treadmill ( fractions7 only made matt]s worse4 ,z a la/ res\rce1 ,i r$uc$ x to its l[e/ t]ms1 & extract$ its squ>e root6 ,jok+ ap>t1 let me ?ank ,,old ,,cat = "s v k9d words ( sympa?y1 9 ref]5ce to a correspond5t 7^: "n ,i am happy to say ,i h n[ =gott57 :o _h f\nd fault ) me z a disc\rte\s critic4 ,o4 ,v4 ,l4 is beyond my compreh5sion4 ,he takes ! giv5 equations z 7#a7 & 7#b73 !nce1 by ! process 7#b7-7a7 d$uces 7rightly7 equation 7#c7 viz4 s #c;b #c3 & !nce aga91 by ! process #cc 7a hopeless my/]y71 d$uces #cs #d;b #d4 ,i h no?+ to say ab\t x3 ,i give x up4 ,,sea-,,breeze says x is immat]ial to ! answ] 7:y87 9 :at proportion #c;d4 is divid$ betwe5 ! s&wi* & ! #c biscuits3 s %e assumes s l-#a_/b;d41 b #a_/b;d4 ,,/anza is "o ( a v irregul> metre4 ,at fir/ %e 7l ,,janet7 id5tifies s&wi*es ) biscuits4 ,%e !n tries two assumptions 7s #a1 b #b_/c1 & s #a_/b b #e_/f71 & 7naturally7 ends 9 contradictions4 ,!n %e returns to ! fir/ assumption1 & f9ds ! #c unkn[ns sep>ately3 quod e/ absurdum4 ,,/iletto id5tifies s&wi*es & biscuits1 z articles4 ,is ! ^w ev] us$ by confection]s8 ,i fanci$ ,:at is ! next article1 ,ma'am8 0 limit$ to l95drap]s4 ,,two ,,si/]s fir/ assume t biscuits are #d a p5ny1 & !n t !y are #b a p5ny1 add+ t ! answ] w ( c\rse be ! same 9 bo? cases4 ,x is a dreamy rem>k1 mak+ "o feel some?+ l ,macbe? grasp+ at ! spectral dagg]4 ,is ?is a /atem5t t ,i see be=e me8 ,if y 7 to say we bo? walk$ ! same way ?is morn+1 & ,i 7 to say "o ( y walk$ ! same way1 b ! o!r didn't1 :i* ( ! ?ree w\ld be ! mo/ hopelessly confus$8 ,,turtle ,,pyate 7:at is a ,turtle ,pyate1 please87 & ,,old ,,cr[1 :o s5d a jo9t answ]1 & ,y4 ,y41 adopt ! same me?od4 ,y4 ,y4 gets ! equation s #c;b #c3 & !n says ?is sum mu/ be apportion$ 9 "o ( ! ?ree foll[+ ways4 ,x may be1 ,i grant y3 b ,y4 ,y4 d y say mu/8 ,i fe> x is possible = ,y4 ,y4 to be two ,y's4 ,! o!r two conspirators are less positive3 !y say x c be s divid$3 b !y add ei!r ( ! ?ree prices be+ "r6 ,?is is bad gramm> & bad ari?metic at once1 oh my/]i\s birds6 ,( ^? :o w9 hon\rs1 ,,! ,,%etl& ,,sn>k mu/ h ! #crd class all to himself4 ,he has only answ]$ half ! "q1 viz4 ! am\nt ( ,cl>a's lun*eon3 ! two little old ladies he pitilessly leaves 9 ! mid/ ( _! difficulty4 ,i beg to assure him 7) ?anks = 8 fri5dly rem>ks7 t entrance-fees & subscriptions are ?+s unkn[n 9 t mo/ economical ( clubs1 ,! ,knot-,unti]s4 ,! au?ors ( ! #bf accid5tal solutions diff] only 9 ! numb] ( /eps !y h tak5 betwe5 ! data & ! answ]s4 ,9 ord] to d !m full ju/ice ,i h arrang$ ! #bnd class 9 sections1 accord+ to ! numb] ( /eps4 ,! two ,k+s are fe>fully delib]ate6 ,i suppose walk+ quick1 or tak+ %ort cuts1 is inconsi/5t ) k+ly dignity3 b really1 9 read+ ,,!seus' solution1 "o almo/ fanci$ he 0 m>k+ "t1 & mak+ no advance at all6 ,! o!r ,k+ w1 ,i hope1 p>don me = hav+ alt]$ ,coal into ,cole4 ,k+ ,coilus1 or ,coil1 seems to h reign$ soon aft] ,ar?ur's "t4 ,h5ry ( ,hunt+don id5tifies him ) ! ,k+ ,col :o fir/ built walls r\nd ,col*e/]1 :i* 0 nam$ aft] him4 ,9 ! ,*ronicle ( ,rob]t ( ,gl\ce/] we read3-- ,aftur ,kyng ,aruirag1 ( wam we habbe? y told1 ,m>ius ys sone 0 kyng1 quoynte mon bold4 ,& ys sone 0 aftur hym1 ,coil 0 ys "n1 ,bo! x 7 quoynte m51 ( noble fame4 ,,balbus lays x d[n z a g5]al pr9ciple t 9 ord] to asc]ta9 ! co/ ( any "o lun*eon1 x mu/ come to ! same am\nt ^u two diff]5t assumptions4 7,qu]y4 ,%\ld n x be we8 ,o!rwise ! lun*eon is repres5t$ z wi%+ to asc]ta9 its own co/67 ,he !n makes two assumptions--"o1 t s&wi*es co/ no?+2 ! o!r1 t biscuits co/ no?+1 7ei!r arrangem5t w\ld lead to ! %op be+ inconv5i5tly cr[d$67--& br+s out ! unkn[n lun*eons z #h;d4 & #ai;d41 on ea* assumption4 ,he !n concludes t ?is agreem5t ( results %[s t ! answ]s are correct4 ,n[ ,i propose to disprove 8 g5]al law by simply giv+ "o in/ance ( its fail+4 ,"o in/ance is q en\gh4 ,9 logical language1 9 ord] to disprove a univ]sal affirmative1 x is en\gh to prove its contradictory1 :i* is a p>ticul> negative4 7,i mu/ pause = a digression on ,logic1 & especially on ,ladies' ,logic4 ,! univ]sal affirmative ev]ybody says he's a duck is cru%$ in/antly by prov+ ! p>ticul> negative ,pet] says he's a goose1 :i* is equival5t to ,pet] does n say he's a duck4 ,& ! univ]sal negative nobody calls on h] is well met by ! p>ticul> affirmative ,i call$ ye/]day4 ,9 %ort1 ei!r ( two contradictories disproves ! o!r3 & ! moral is t1 s9ce a p>ticul> proposition is mu* m easily prov$ ?an a univ]sal "o1 x is ! wise/ c\rse1 9 argu+ ) a ,lady1 to limit "o's own ass]tions to p>ticul>s1 & leave h] to prove ! univ]sal contradictory1 if %e c4 ,y w ?us g5]ally secure a logical victory3 a practical victory is n to be hop$ =1 s9ce %e c always fall back ^u ! cru%+ rem>k t has no?+ to d ) x6--a move = :i* ,man has n yet discov]$ any satisfactory answ]4 ,n[ let u return to ,,balbus47 ,"h is my p>ticul> negative1 on :i* to te/ 8 rule4 ,suppose ! two record$ lun*eons to h be5 #b buns1 "o que5-cake1 #b sausage-rolls1 & a bottle ( ,zodone3 total1 "o-&-n9ep5ce1 & "o bun1 #b que5-cakes1 a sausage-roll1 & a bottle ( ,zodone3 total1 "o-&-f\rp5ce4 ,& suppose ,cl>a's unkn[n lun*eon to h be5 #c buns1 "o que5-cake1 "o sausage-roll1 & #b bottles ( ,zodone3 :ile ! two little si/]s _h be5 indulg+ 9 #h buns1 #d que5-cakes1 #b sausage-rolls1 & #f bottles ( ,zodone4 7,poor s\ls1 h[ ?ir/y !y mu/ h be567 ,if ,,balbus w k9dly try ?is by 8 pr9ciple ( two assumptions1 fir/ assum+ t a bun is #a;d4 & a que5-cake #b;d41 & !n t a bun is #c;d4 & a que5-cake #c;d41 he w br+ out ! o!r two lun*eons1 on ea* assumption1 z "o-&-n9e-p5ce & f\r-&-t5-p5ce respectively1 :i* h>mony ( results1 he w say1 %[s t ! answ]s are correct4 ,& yet1 z a matt] ( fact1 ! buns 7 #b;d4 ea*1 ! que5-cakes #c;d41 ! sausage-rolls #f;d41 & ! ,zodone #b;d4 a bottle3 s t ,cl>a's ?ird lun*eon _h co/ "o-&-sev5p5ce1 & h] ?ir/y fri5ds _h sp5t f\r-&-f\rp5ce6 ,ano!r rem>k ( ,,balbus ,i w quote & discuss3 = ,i ?9k t x also may yield a moral = "s ( my read]s4 ,he says x is ! same ?+ 9 sub/ance :e!r 9 solv+ ?is problem we use words & call x ,ari?metic1 or use lett]s & signs & call x ,algebra4 ,n[ ?is does n appe> to me a correct description ( ! two me?ods3 ! ,ari?metical me?od is t ( syn!sis only2 x goes f "o kn[n fact to ano!r1 till x rea*es its goal3 :]eas ! ,algebraical me?od is t ( analysis3 x beg9s ) ! goal1 symbolically repres5t$1 & s goes backw>ds1 dragg+ its veil$ victim ) x1 till x has rea*$ ! full daylight ( kn[n facts1 9 :i* x c te> (f ! veil & say ,i "k y6 ,take an illu/ration4 ,y\r h\se has be5 brok5 into & robb$1 & y appeal to ! policeman :o 0 on duty t night4 ,well1 ,mum1 ,i did see a *ap gett+ out ov] y\r g>d5-wall3 b ,i 0 a good bit (f1 s ,i didn't *ase him1 l4 ,i j cut d[n ! %ort way to ! ,*equ]s1 & :o %\ld ,i meet b ,bill ,sykes1 com+ full split r\nd ! corn]4 ,s ,i j ups & says ',my lad1 y're want$4' ,t's all ,i says4 ,& he says ',i'll g along quiet1 ,bobby1' he says1 ')\t ! d>bies1' he says4 ,!re's y\r ,ari?metical policeman4 ,n[ try ! o!r me?od4 ,i se$ somebody a runn+1 b he 0 well gone or ev] ,i got nigh ! place4 ,s ,i j took a look r\nd 9 ! g>d54 ,& ,i notic$ ! foot-m>ks1 :]e ! *ap _h come "r across y\r fl[]-b$s4 ,!y 0 good big foot-m>ks sure-ly4 ,& ,i notic$ z ! left foot w5t d[n at ! heel1 ev] s mu* deep] ?an ! o!r4 ,& ,i says to myself ',! *ap's be5 a big hulk+ *ap3 & he goes lame on 8 left foot4' ,& ,i rubs my h& on ! wall :]e he got ov]1 & !re 0 soot on x1 & no mi/ake4 ,s ,i says to myself ',n[ :]e c ,i light on a big man1 9 ! *imbley-sweep l9e1 :at's lame ( "o foot8' ,& ,i fla%es up p]miscu\s3 & ,i says ',x's ,bill ,sykes6' says ,i4 ,!re is y\r ,algebraical policeman--a high] intellectual type1 to my ?9k+1 ?an ! o!r4 ,,little ,,jack',s solution calls = a ^w ( praise1 z he has writt5 out :at really is an algebraical pro( 9 words1 )\t repres5t+ any ( 8 facts z equations4 ,if x is all 8 own1 he w make a good algebrai/ 9 ! "t to come4 ,i beg to ?ank ,,simple ,,susan = "s k9d words ( sympa?y1 to ! same effect z ^? receiv$ f ,,old ,,cat4 ,,hecla & ,,m>treb are ! only two :o h us$ a me?od c]ta9 ei!r to produce ! answ]1 or else to prove x impossible3 s !y mu/ %>e betwe5 !m ! highe/ hon\rs4 ,,class ,,li/4 ,i4 ,,hecla4 ,,m>treb4 ,,ii4 #a 7#b /eps74 ,,adelaide4 ,,clifton ,c4444 ,e4 ,k4 ,c4 ,,guy4 ,l',,inconnu4 ,,little ,,jack4 ,,nil ,,desp]&um4 ,,simple ,,susan4 ,,yell[-,,hamm]4 ,,woolly ,,"o4 #b 7#c /eps74 ,a4 ,a4 ,a ,,*ri/mas ,,c>ol4 ,,aft]noon ,,tea4 ,,an ,,appreciative ,,s*oolma',,am4 ,,baby4 ,,balbus4 ,,bog-,,oak4 ,,! ,,r$ ,,que54 ,,wall-,,fl[]4 #c 7#d /eps74 ,,haw?orn4 ,,joram4 ,s4 ,s4 ,g4 #d 7#e /eps74 ,a ,,/epney ,,coa*4 #e 7#f /eps74 ,,bay ,,laurel4 ,,brad%aw ,,( ,,! ,,future4 #f 7#i /eps74 ,,old ,,k+ ,,cole4 #g 7#ad /eps74 ,,!seus4 ,,answ]s ,,to ,,correspond5ts4 ,i h receiv$ sev]al lett]s on ! subjects ( ,knots ,,ii4 & ,,vi41 :i* lead me to ?9k "s fur!r explanation desirable4 ,9 ,knot ,,ii41 ,i _h int5d$ ! numb]+ ( ! h\ses to beg9 at "o corn] ( ! ,squ>e1 & ?is 0 assum$ by mo/1 if n all1 ( ! competitors4 ,,trojanus h[ev] says assum+1 9 default ( any in=mation1 t ! /reet ent]s ! squ>e 9 ! middle ( ea* side1 x may be suppos$ t ! numb]+ beg9s at a /reet4 ,b surely ! o!r is ! m natural assumption8 ,9 ,knot ,,vi41 ! fir/ ,problem 0 ( c\rse a m]e jeu de mots1 ^: pres5ce ,i ?\ght excusable 9 a s]ies ( ,problems ^: aim is to ent]ta9 r ?an to in/ruct3 b x has n escap$ ! contemptu\s criticisms ( two ( my correspond5ts1 :o seem to ?9k t ,apollo is 9 duty b\nd to keep 8 b[ always on ! /ret*4 ,nei!r ( !m has guess$ x3 & ?is is true human nature4 ,only ! o!r day--! #ca/ ( ,septemb]1 to be q exact--,i met my old fri5d ,br[n1 & gave him a riddle ,i _h j he>d4 ,) "o great ef=t ( 8 colossal m9d1 ,br[n guess$ x4 ,"r6 said ,i4 ,ah1 said he1 x's v neat--v neat4 ,& x isn't an answ] t w\ld occur to ev]ybody4 ,v neat inde$4 ,a few y>ds fur!r on1 ,i fell 9 ) ,smi? & to him ,i prop\nd$ ! same riddle4 ,he fr[n$ ov] x = a m9ute1 & !n gave x up4 ,meekly ,i falt]$ out ! answ]4 ,a poor ?+1 sir6 ,smi? gr[l$1 z he turn$ away4 ,a v poor ?+6 ,i wond] y c>e to repeat su* rubbi%6 ,yet ,smi?'s m9d is1 if possible1 ev5 m colossal ?an ,br[n's4 ,! second ,problem ( ,knot ,,vi4 is an example 9 ord9>y ,d\ble ,rule ( ,?ree1 ^: ess5tial feature is t ! result dep5ds on ! v>iation ( sev]al elem5ts1 :i* are s relat$ to x t1 if all b "o be con/ant1 x v>ies z t "o3 h5ce1 if none be con/ant1 x v>ies z _! product4 ,?us1 = example1 ! cubical cont5ts ( a rectangul> tank v>y z its l5g?1 if bread? & dep? be con/ant1 & s on2 h5ce1 if none be con/ant1 x v>ies z ! product ( ! l5g?1 bread?1 & dep?4 ,:5 ! result is n ?us connect$ ) ! v>y+ elem5ts1 ! ,problem ceases to be ,d\ble ,rule ( ,?ree & (t5 becomes "o ( great complexity4 ,to illu/rate ?is1 let u take two c&idates = a prize1 ,a & ,b1 :o are to compete 9 ,fr5*1 ,g]man1 & ,italian3 7a7 ,let x be laid d[n t ! result is to dep5d on _! relative k ( ea* subject1 s t1 :e!r _! m>ks1 = ,fr5*1 be #a1 #b or #ajj1 #bjj1 ! result w be ! same3 & let x also be laid d[n t1 if !y get equal m>ks on #b pap]s1 ! f9al m>ks are to h ! same ratio z ^? ( ! #crd pap]4 ,?is is a case ( ord9>y ,d\ble ,rule ( ,?ree4 ,we multiply ,a's #c m>ks toge!r1 & d ! same = ,b4 ,note t1 if ,a gets a s+le #j1 8 f9al m>k is #j1 ev5 if he gets full m>ks = #b pap]s :ile ,b gets only "o m>k = ea* pap]4 ,?is ( c\rse w\ld be v unfair on ,a1 ?\gh a correct solution "u ! giv5 conditions4 7b7 ,! result is to dep5d1 z be=e1 on relative k2 b ,fr5* is to h twice z mu* weight z ,g]man or ,italian4 ,?is is an unusual =m ( "q4 ,i %\ld be incl9$ to say ! result+ ratio is to be ne>] to ! ,fr5* ratio ?an if we multipli$ z 9 7a71 & s mu* ne>] t x w\ld be necess>y to use ! o!r multipli]s twice to produce ! same result z 9 7a73 e4g4 if ! ,fr5* ,ratio 7 #i_/aj1 & ! o!rs #d_/i1 #a_/i s t ! ultimate ratio1 by me?od 7a71 w\ld be #b_/de1 ,i %\ld multiply in/ead by #b_/c1 #a_/c1 giv+ ! result1 #a_/c :i* is ne>] to #i_/aj ?an if he _h us$ me?od 7a74 7c7 ,! result is to dep5d on actual am\nt ( k ( ! #c subjects collectively4 ,"h we h to ask two que/ions4 7#a7 ,:at is to be ! unit 7i4e4 /&>d to measure by7 9 ea* subject8 7#b7 ,are ^! units to be ( equal1 or unequal value8 ,! usual unit is ! k %[n by answ]+ ! :ole pap] correctly2 call+ ?is #ajj1 all l[] am\nts are repres5t$ by numb]s betwe5 #j & #ajj4 ,!n1 if ^! units are to be ( equal value1 we simply add ,a's #c m>ks toge!r1 & d ! same = ,b4 7d7 ,! conditions are ! same z 7c71 b ,fr5* is to h d\ble weight4 ,"h we simply d\ble ! ,fr5* m>ks1 & add z be=e4 7e7 ,fr5* is to h su* weight1 t1 if o!r m>ks be equal1 ! ultimate ratio is to be t ( ! ,fr5* pap]1 s t a #j 9 ?is w\ld swamp ! c&idate3 b ! o!r two subjects are only to affect ! result collectively1 by ! am\nt ( k %[n1 ! two be+ reckon$ ( equal value4 ,"h ,i %\ld add ,a's ,g]man & ,italian m>ks toge!r1 & multiply by 8 ,fr5* m>k4 ,b ,i ne$ n g on3 ! problem may evid5tly be set ) _m v>y+ conditions1 ea* requir+ its own me?od ( solution4 ,! ,problem 9 ,knot ,,vi4 0 meant to belong to v>iety 7a71 & to make ?is cle>1 ,i ins]t$ ! foll[+ passage3 ,usually ! competitors diff] 9 "o po9t only4 ,?us1 la/ ye>1 ,fifi & ,gogo made ! same numb] ( sc>ves 9 ! trial week1 & !y 7 equally light2 b ,fifi's 7 twice z w>m z ,gogo's1 & %e 0 pron\nc$ twice z good4 ,:at ,i h said w suffice1 ,i hope1 z an answ] to ,,balbus1 :o holds t 7a7 & 7c7 are ! only possible v>ieties ( ! problem1 & t to say ,we _c use addition1 !re=e we mu/ be int5d$ to use multiplication1 is no m illogical ?an1 f k t "o 0 n born 9 ! night1 to inf] t he 0 born 9 ! daytime2 & also to ,,fifee1 :o says ,i ?9k a little m consid]ation w %[ y t our 'error ( add+ ! proportional numb]s toge!r = ea* c&idate in/ead ( multiply+' is no error at all4 ,:y1 ev5 if addition _h be5 ! "r me?od to use1 n "o ( ! writ]s 7,i speak f memory7 %[$ any consci\sness ( ! necessity ( fix+ a unit = ea* subject4 ,no error at all6 ,!y 7 positively /eep$ 9 error6 ,"o correspond5t 7,i d n "n him1 z ! communication is n q fri5dly 9 tone7 writes ?us3--,i wi% to add1 v respectfully1 t ,i ?9k x w\ld be 9 bett] ta/e if y 7 to ab/a9 f ! v tr5*ant expressions :i* y are accu/om$ to indulge 9 :5 criticis+ ! answ]4 ,t su* a tone mu/ n be 7be n87 agreeable to ! p]sons conc]n$ :o h made mi/akes may possibly h no great weight ) y1 b ,i hope y w feel t x w\ld be z well n to employ x1 unless y are q c]ta9 ( be+ correct y\rself4 ,! only in/ances ! writ] gives ( ! tr5*ant expressions are hapless & malefactors4 ,i beg to assure him 7& any o!rs :o may ne$ ! assurance3 ,i tru/ !re are none7 t all su* words h be5 us$ 9 je/1 & ) no idea t !y c\ld possibly annoy any "o1 & t ,i s9c]ely regret any annoyance ,i may h ?us inadv]t5tly giv54 ,may ,i hope t 9 future !y w recognise ! di/9ction betwe5 sev]e language us$ 9 sob] e>ne/1 & ! words ( unmeant bitt]ness1 :i* ,col]idge has allud$ to 9 t lovely passage beg9n+ ,a little *ild1 a limb] elf8 ,if ! writ] w ref] to t passage1 or to ! preface to ,fire1 ,fam9e1 & ,slaught]1 he w f9d ! di/9ction1 = :i* ,i plead1 f> bett] drawn out ?an ,i c\ld hope to d 9 any words ( m9e4 ,! writ]'s ins9uation t ,i c>e n h[ mu* annoyance ,i give to my read]s ,i ?9k x be/ to pass ov] 9 sil5ce2 b to 8 conclud+ rem>k ,i mu/ entirely demur4 ,i hold t to use language likely to annoy any ( my correspond5ts w\ld n be 9 ! lea/ ju/ifi$ by ! plea t ,i 0 q c]ta9 ( be+ correct4 ,i tru/ t ! knot-unti]s & ,i are n on su* t]ms z ^?6 ,i beg to ?ank ,g4 ,b4 = ! (f] ( a puzzle--:i*1 h[ev]1 is too l ! old "o ,make f\r #i's into #ajj4 ,,answ]s ,,to ,,knot ,,viii4 #a4 ,,! ,,pigs4 ,problem4--,place tw5ty-f\r pigs 9 f\r /ies s t1 z y g r\nd & r\nd1 y may always f9d ! numb] 9 ea* /y ne>] to t5 ?an ! numb] 9 ! la/4 ,answ]4--,place #h pigs 9 ! fir/ /y1 #aj 9 ! second1 no?+ 9 ! ?ird1 & #f 9 ! f\r?3 #aj is ne>] t5 ?an #h2 no?+ is ne>] t5 ?an #aj2 #f is ne>] t5 ?an no?+2 & #h is ne>] t5 ?an #f4 99 99 99 99 99 ,?is problem is notic$ by only two correspond5ts4 ,,balbus says x c]ta9ly _c be solv$ ma!matically1 nor d ,i see h[ to solve x by any v]bal quibble4 ,,nol5s ,,vol5s makes ,h] ,radiancy *ange ! direction ( go+ r\nd2 & ev5 !n is oblig$ to add ! pigs mu/ be c>ri$ 9 front ( h]6 #b4 ,,! ,,grurm/ip?s4 ,problem4--,omnibuses />t f a c]ta9 po9t1 bo? ways1 e #ae m9utes4 ,a travell]1 />t+ on foot along ) "o ( !m1 meets "o 9 #ab-a_/b m9utes3 :5 w he be ov]tak5 by "o8 ,answ]4--,9 #f-a_/d m9utes4 99 99 99 99 99 ,solution4--,let a be ! di/ance an omnibus goes 9 #ae m9utes1 & x ! di/ance f ! />t+-po9t to :]e ! travell] is ov]tak54 ,s9ce ! omnibus met is due at ! />t+-po9t 9 #b-a_/b m9utes1 x goes 9 t "t z f> z ! travell] walks 9 #ab-a_/b2 i4e4 x goes #e times z fa/4 ,n[ ! ov]tak+ omnibus is a beh9d ! travell] :5 he />ts1 & !re=e goes a x :ile he goes x4 ,h5ce a x #ex2 i4e4 #dx a1 & x a_/#d4 ,?is di/ance w\ld be trav]s$ by an omnibus 9 #ae_/d m9utes1 & !re=e by ! travell] 9 #e #ae_/d4 ,h5ce he is ov]tak5 9 #ah-c_/d m9utes aft] />t+1 i4e4 9 #f-a_/d m9utes aft] meet+ ! omnibus4 ,f\r answ]s h be5 receiv$1 ( :i* two are wrong4 ,,d9ah ,,mite rightly /ates t ! ov]tak+ omnibus rea*$ ! po9t :]e !y met ! o!r omnibus #e m9utes aft] !y left1 b wrongly concludes t1 go+ #e times z fa/1 x w\ld ov]take !m 9 ano!r m9ute4 ,! travell]s are #e-m9utes-walk ahead ( ! omnibus1 & mu/ walk #a-d? ( ?is di/ance f>!r be=e ! omnibus ov]takes !m1 :i* w be #a-e? ( ! di/ance trav]s$ by ! omnibus 9 ! same "t3 ?is w require #a-a_/d m9utes m4 ,,nol5s ,,vol5s tries x by a process l ,a*illes & ! ,tortoise4 ,he rightly /ates t1 :5 ! ov]tak+ omnibus leaves ! gate1 ! travell]s are #a-e? ( a ahead1 & t x w take ! omnibus #c m9utes to trav]se ?is di/ance2 dur+ :i* "t ! travell]s1 he tells u1 g #a-ae? ( a 7?is %\ld be #a-be?74 ,! travell]s be+ n[ #a-ae? ( a ahead1 he concludes t ! "w rema9+ to be done is = ! travell]s to g #a-fj? ( a1 :ile ! omnibus goes #a-ab?4 ,! pr9ciple is correct1 & might h be5 appli$ e>li]4 ,,class ,,li/4 ,i4 ,,balbus4 ,,delta4 ,,answ]s ,,to ,,knot ,,ix4 #a4 ,,! ,,buckets4 ,problem4--,l>dn] /ates t a solid1 imm]s$ 9 a fluid1 displaces an am\nt equal to itself 9 bulk4 ,h[ c ?is be true ( a small bucket float+ 9 a l>g] "o8 ,solution4--,l>dn] means1 by displaces1 occupies a space :i* might be fill$ ) wat] )\t any *ange 9 ! surr\nd+s4 ,if ! portion ( ! float+ bucket1 :i* is above ! wat]1 c\ld be annihilat$1 & ! re/ ( x trans=m$ into wat]1 ! surr\nd+ wat] w\ld n *ange its position3 :i* agrees ) ,l>dn]'s /atem5t4 99 99 99 99 99 ,five answ]s h be5 receiv$1 none ( :i* expla9s ! difficulty aris+ f ! well-kn[n fact t a float+ body is ! same weight z ! displac$ fluid4 ,,hecla says t only t portion ( ! small] bucket :i* desc5ds bel[ ! orig9al level ( ! wat] c be prop]ly said to be imm]s$1 & only an equal bulk ( wat] is displac$4 ,h5ce1 accord+ to ,,hecla1 a solid1 ^: weight 0 equal to t ( an equal bulk ( wat]1 w\ld n float till ! :ole ( x 0 bel[ ! orig9al level ( ! wat]3 b1 z a matt] ( fact1 x w\ld float z soon z x 0 all "u wat]4 ,,magpie says ! fallacy is ! assumption t "o body c displace ano!r f a place :]e x isn't1 & t ,l>dn]'s ass]tion is incorrect1 except :5 ! conta9+ vessel 0 orig9ally full to ! brim4 ,b ! "q ( float+ dep5ds on ! pres5t /ate ( ?+s1 n on pa/ hi/ory4 ,,old ,,k+ ,,cole takes ! same view z ,,hecla4 ,,tympanum & ,,v9dex assume t displac$ means rais$ above its orig9al level1 & m]ely expla9 h[ x comes to pass t ! wat]1 s rais$1 is less 9 bulk ?an ! imm]s$ portion ( bucket1 & ?us l& !mselves--or r set !mselves float+--9 ! same boat z ,,hecla4 ,i regret t !re is no ,class-li/ to publi% = ?is ,problem4 99 99 99 99 99 #b4 ,,balbus' ,,essay4 ,problem4--,balbus /ates t if a c]ta9 solid be imm]s$ 9 a c]ta9 vessel ( wat]1 ! wat] w rise ?r\gh a s]ies ( di/ances1 two in*es1 "o in*1 half an in*1 c41 :i* s]ies has no end4 ,he concludes t ! wat] w rise )\t limit4 ,is ?is true8 ,solution4--,no4 ,?is s]ies c nev] rea* #d in*es1 s9ce1 h[ev] _m t]ms we take1 we are always %ort ( #d in*es by an am\nt equal to ! la/ t]m tak54 99 99 99 99 99 ,?ree answ]s h be5 receiv$--b only two seem to me wor?y ( hon\rs4 ,,tympanum says t ! /atem5t ab\t ! /ick is m]ely a bl9d1 to :i* ! old answ] may well be appli$1 solvitur ambul&o1 or r m]g5do4 ,i tru/ ,,tympanum w n te/ ?is 9 8 own p]son1 by tak+ ! place ( ! man 9 ,balbus' ,essay6 ,he w\ld infallibly be dr[n$4 ,,old ,,k+ ,,cole rightly po9ts out t ! s]ies1 #b1 #a1 c41 is a decreas+ ,geometrical ,progression3 :ile ,,v9dex rightly id5tifies ! fallacy z t ( ,a*illes & ! ,tortoise4 ,,class ,,li/4 ,i4 ,,old ,,k+ ,,cole4 ,,v9dex4 99 99 99 99 99 #c4 ,,! ,,g>d54 ,problem4--,an oblong g>d51 half a y>d long] ?an wide1 consi/s entirely ( a gravel-walk1 spirally arrang$1 a y>d wide & #c1fcj y>ds long4 ,f9d ! dim5sions ( ! g>d54 ,answ]4--#fj1 #fj-a_/b4 ,solution4--,! numb] ( y>ds & fractions ( a y>d trav]s$ 9 walk+ along a /raight piece ( walk1 is evid5tly ! same z ! numb] ( squ>e-y>ds & fractions ( a squ>e-y>d1 conta9$ 9 t piece ( walk3 & ! di/ance1 trav]s$ 9 pass+ ?r\gh a squ>e-y>d at a corn]1 is evid5tly a y>d4 ,h5ce ! area ( ! g>d5 is #c1fcj squ>e-y>ds3 i4e41 if x be ! wid?1 x 7x #a_/b7 #c1fcj4 ,solv+ ?is ,quadratic1 we f9d x #fj4 ,h5ce ! dim5sions are #fj1 #fj-a_/b4 99 99 99 99 99 ,twelve answ]s h be5 receiv$--sev5 "r & five wrong4 ,c4 ,g4 ,l41 ,,nabob1 ,,old ,,cr[1 & ,,tympanum assume t ! numb] ( y>ds 9 ! l5g? ( ! pa? is equal to ! numb] ( squ>e-y>ds 9 ! g>d54 ,?is is true1 b %\ld h be5 prov$4 ,b ea* is guilty ( d>k] de$s4 ,c4 ,g4 ,l4's work+ consi/s ( divid+ #c1fcj by #fj4 ,:5ce came ?is divisor1 oh ,segiel8 ,div9ation8 ,or 0 x a dream8 ,i fe> ?is solution is wor? no?+4 ,,old ,,cr[',s is %ort]1 & s 7if possible7 wor? r less4 ,he says ! answ] is at once se5 to be #fj #fj-a_/b6 ,,nabob',s calculation is %ort1 b z ri* z a ,nabob 9 error4 ,he says t ! squ>e root ( #c1fcj1 multipli$ by #b1 equals ! l5g? plus ! bread?4 ,t is #fj4be #b #abj-a_/b4 ,8 fir/ ass]tion is only true ( a squ>e g>d54 ,8 second is irrelevant1 s9ce #fj4be is n ! squ>e-root ( #c1fcj6 ,nay1 ,bob1 ?is w n d6 ,,tympanum says t1 by extract+ ! squ>e-root ( #c1fcj1 we get #fj y>ds ) a rema9d] ( #cj_/fj1 or half-a-y>d1 :i* we add s z to make ! oblong #fj #fj-a_/b4 ,?is is v t]rible3 b worse rema9s beh9d4 ,,tympanum proce$s ?us3--,b :y %\ld !re be ! half-y>d at all8 ,because )\t x !re w\ld be no space at all = fl[]s4 ,by means ( x1 we f9d res]v$ 9 ! v c5tre a small plot ( gr\nd1 two y>ds long by half-a-y>d wide1 ! only space n occupi$ by walk4 ,b ,balbus expressly said t ! walk us$ up ! :ole ( ! area4 ,oh1 ,,tympanum6 ,my tympa is exhau/$3 my bra9 is num6 ,i c say no m4 ,,hecla indulges1 aga9 & aga91 9 t mo/ fatal ( all habits 9 computation--! mak+ two mi/akes :i* cancel ea* o!r4 ,%e takes x z ! wid? ( ! g>d51 9 y>ds1 & x #a_/b z its l5g?1 & makes h] fir/ coil ! sum ( x-#a_/b1 x-#a_/b1 x-#a1 x-#a1 i4e4 #dx-#c3 b ! f\r? t]m %\ld be x-#a-a_/b1 s t h] fir/ coil is #a_/b a y>d too long4 ,h] second coil is ! sum ( x-#b-a_/b1 x-#b-a_/b1 x-#c1 x-#c3 "h ! fir/ t]m %\ld be x-#b & ! la/ x-#c-a_/b3 ^! two mi/akes cancel1 & ?is coil is !re=e "r4 ,& ! same ?+ is true ( e o!r coil b ! la/1 :i* ne$s an extra half-y>d to rea* ! end ( ! pa?3 & ?is exactly balances ! mi/ake 9 ! fir/ coil4 ,?us ! sum total ( ! coils comes "r ?\gh ! work+ is all wrong4 ,( ! sev5 :o are "r1 ,,d9ah ,,mite1 ,,janet1 ,,magpie1 & ,,taffy make ! same assumption z ,c4 ,g4 ,l4 & ,co4 ,!y !n solve by a ,quadratic4 ,,magpie also tries x by ,ari?metical ,progression1 b fails to notice t ! fir/ & la/ coils h special values4 ,,alumnus ,,eton attempts to prove :at ,c4 ,g4 ,l4 assumes by a p>ticul> in/ance1 tak+ a g>d5 #f by #e-a_/b4 ,he ought to h prov$ x g5]ally3 :at is true ( "o numb] is n always true ( o!rs4 ,,old ,,k+ ,,cole solves x by an ,ari?metical ,progression4 ,x is "r1 b too l5g?y to be wor? z mu* z a ,quadratic4 ,,v9dex proves x v neatly1 by po9t+ out t a y>d ( walk measur$ along ! middle repres5ts a squ>e y>d ( g>d51 :e!r we consid] ! /raight /ret*es ( walk or ! squ>e y>ds at ! angles1 9 :i* ! middle l9e goes half a y>d 9 "o direction & !n turns a "r angle & goes half a y>d 9 ano!r direction4 ,,class ,,li/4 ,i4 ,,v9dex4 ,,ii4 ,,alumnus ,,eton4 ,,old ,,k+ ,,cole4 ,,iii4 ,,d9ah ,,mite4 ,,janet4 ,,magpie4 ,,taffy4 ,,answ]s ,,to ,,knot ,x4 #a4 ,,! ,,*elsea ,,p5sion]s4 ,problem4--,if #gj p] c5t4 h lo/ an eye1 #ge p] c5t4 an e>1 #hj p] c5t4 an arm1 #he p] c5t4 a leg3 :at p]c5tage1 at lea/1 mu/ h lo/ all f\r8 ,answ]4--,t54 99 99 99 99 99 ,solution4--7,i adopt t ( ,,pol> ,,/>1 z be+ bett] ?an my own74 ,add+ ! w\nds toge!r1 we get #gj #ge #hj #he #caj1 among #ajj m52 :i* gives #c to ea*1 & #d to #aj m54 ,!re=e ! lea/ p]c5tage is #aj4 99 99 99 99 99 ,n9ete5 answ]s h be5 receiv$4 ,"o is #e1 b1 z no work+ is giv5 ) x1 x mu/1 9 accordance ) ! rule1 rema9 a de$ )\t a "n4 ,,janet makes x #ce & #g_/aj?s4 ,i am sorry %e has misund]/ood ! "q1 & has suppos$ t ^? :o _h lo/ an e> 7 #ge p] c5t4 ( ^? :o _h lo/ an eye2 & s on4 ,( c\rse1 on ?is supposition1 ! p]c5tages mu/ all be multipli$ toge!r4 ,?is %e has done correctly1 b ,i c give h] no hon\rs1 z ,i d n ?9k ! "q w fairly be> h] int]pretation1 ,,?ree ,,score ,,& ,,t5 makes x #ai & #c_/h?s4 ,h] solution has giv5 me--,i w n say _m anxi\s days & sleepless nights1 = ,i wi% to be /rictly tru?ful1 b--"s tr\ble 9 mak+ any s5se at all ( x4 ,%e makes ! numb] ( p5sion]s w\nd$ once to be #caj 7p] c5t41 ,i suppose673 divid+ by #d1 %e gets #gg & a half z av]age p]c5tage3 aga9 divid+ by #d1 %e gets #ai & #c_/h?s z p]c5tage w\nd$ f\r times4 ,does %e suppose w\nds ( diff]5t k9ds to absorb ea* o!r1 s to speak8 ,!n1 no d\bt1 ! data are equival5t to #gg p5sion]s ) "o w\nd ea*1 & a half-p5sion] ) a half-w\nd4 ,& does %e !n suppose ^! conc5trat$ w\nds to be transf]able1 s t #c_/d?s ( ^! un=tunates c obta9 p]fect heal? by h&+ ov] _! w\nds to ! rema9+ #a_/d?8 ,grant+ ^! suppositions1 h] answ] is "r2 or r1 if ! "q _h be5 ,a road is cov]$ ) "o in* ( gravel1 along #gg & a half p] c5t4 ( x4 ,h[ mu* ( x c\ld be cov]$ #d in*es deep ) ! same mat]ial8 h] answ] w\ld h be5 "r4 ,b alas1 t wasn't ! "q6 ,,delta makes "s mo/ amaz+ assumptions3 let e "o :o has n lo/ an eye h lo/ an e>1 let e "o :o has n lo/ bo? eyes & e>s h lo/ an arm4 ,h] ideas ( a battle-field are grim inde$4 ,fancy a w>rior :o w\ld cont9ue fight+ aft] los+ bo? eyes1 bo? e>s1 & bo? arms6 ,?is is a case :i* %e 7or x87 evid5tly consid]s possible4 ,next come eight writ]s :o h made ! unw>rantable assumption t1 because #gj p] c5t4 h lo/ an eye1 !re=e #cj p] c5t4 h n lo/ "o1 s t !y h bo? eyes4 ,?is is illogical4 ,if y give me a bag conta9+ #ajj sov]eigns1 & if 9 an h\r ,i come to y 7my face n beam+ ) gratitude ne>ly s mu* z :5 ,i receiv$ ! bag7 to say ,i am sorry to tell y t #gj ( ^! sov]eigns are bad1 d ,i !reby gu>antee ! o!r #cj to be good8 ,p]haps ,i h n te/$ !m yet4 ,! sides ( ?is illogical octagon are z foll[s1 9 alphabetical ord]3--,,alg]non ,,bray1 ,,d9ah ,,mite1 ,g4 ,s4 ,c41 ,,jane ,e41 ,j4 ,d4 ,w41 ,,magpie 7:o makes ! delightful rem>k !re=e #ij p] c5t4 h two ( some?+1 recall+ to "o's memory t =tunate mon>*1 ) :om ,x]xes 0 s mu* pleas$ t he gave him t5 ( ev]y?+671 ,s4 ,s4 ,g41 & ,,tokio4 ,,brad%aw ,,( ,,! ,,future & ,t4 ,r4 d ! "q 9 a piecemeal fa%ion--on ! pr9ciple t ! #gj p] c5t4 & ! #ge p] c5t41 ?\gh comm5c$ at opposite ends ( ! #ajj1 mu/ ov]lap by at lea/ #de p] c5t42 & s on4 ,?is is q correct work+1 b n1 ,i ?9k1 q ! be/ way ( do+ x4 ,! o!r five competitors w1 ,i hope1 feel !mselves suffici5tly glorifi$ by be+ plac$ 9 ! fir/ class1 )\t my compos+ a ,triumphal ,ode = ea*6 ,,class ,,li/4 ,i4 ,,old ,,cat4 ,,old ,,h54 ,,pol> ,,/>4 ,,simple ,,susan4 ,,:ite ,,sug>4 ,,ii4 ,,brad%aw ,,( ,,! ,,future4 ,t4 ,r4 ,,iii4 ,,alg]non ,,bray4 ,,d9ah ,,mite4 ,g4 ,s4 ,c4 ,,jane ,e4 ,j4 ,d4 ,w4 ,,magpie4 ,s4 ,s4 ,g4 ,,tokio4 #b4 ,,*ange ,,( ,,day4 ,i mu/ po/pone1 s9e die1 ! geographical problem--p>tly because ,i h n yet receiv$ ! /ati/ics ,i am hop+ =1 & p>tly because ,i am myself s entirely puzzl$ by x2 & :5 an exam9] is himself dimly hov]+ betwe5 a second class & a ?ird h[ is he to decide ! position ( o!rs8 #c4 ,,! ,,sons' ,,ages4 ,problem4--,at fir/1 two ( ! ages are toge!r equal to ! ?ird4 ,a few ye>s aft]w>ds1 two ( !m are toge!r d\ble ( ! ?ird4 ,:5 ! numb] ( ye>s s9ce ! fir/ occasion is two-?irds ( ! sum ( ! ages on t occasion1 "o age is #ba4 ,:at are ! o!r two8 ,answ]4--#ae & #ah4 99 99 99 99 99 ,solution4--,let ! ages at fir/ be x1 y1 7x y74 ,n[1 if a b #b;c1 !n 7a-n7 7b-n7 #b7;c-n71 :atev] be ! value ( n4 ,h5ce ! second relation%ip1 if ev] true1 0 always true4 ,h5ce x 0 true at fir/4 ,b x _c be true t x & y are toge!r d\ble ( 7x y74 ,h5ce x mu/ be true ( 7x y71 toge!r ) x or y2 & x does n matt] :i* we take4 ,we assume1 !n1 7x y7 x #by2 i4e4 y #bx4 ,h5ce ! ?ree ages 71 at fir/1 x1 #bx1 #cx2 & ! numb] ( ye>s1 s9ce t "t is two-?irds ( #fx1 i4e4 is #dx4 ,h5ce ! pres5t ages are #ex1 #fx1 #gx4 ,! ages are cle>ly integ]s1 s9ce ?is is only ! ye> :5 "o ( my sons comes ( age4 ,h5ce #gx #ba1 x #c1 & ! o!r ages are #ae1 #ah4 99 99 99 99 99 ,eighte5 answ]s h be5 receiv$4 ,"o ( ! writ]s m]ely ass]ts t ! fir/ occasion 0 #ab ye>s ago1 t ! ages 7 !n #i1 #f1 & #c2 & t on ! second occasion !y 7 #ad1 #aa1 & #h6 ,z a ,roman fa!r1 ,i ought to )hold ! "n ( ! ra% writ]2 b respect = age makes me break ! rule3 x is ,,?ree ,,score ,,& ,,t54 ,,jane ,e4 also ass]ts t ! ages at fir/ 7 #i1 #f1 #c3 !n %e calculates ! pres5t ages1 leav+ ! second occasion unnotic$4 ,,old ,,h5 is ne>ly z bad2 %e tri$ v>i\s numb]s till ,i f\nd "o t fitt$ all ! conditions2 b m]ely scrat*+ up ! e>?1 & peck+ ab\t1 is n ! way to solve a problem1 oh v5]able bird6 ,& close aft] ,,old ,,h5 pr[ls1 ) hungry eyes1 ,,old ,,cat1 :o calmly assumes1 to beg9 )1 t ! son :o comes ( age is ! elde/4 ,eat y\r bird1 ,puss1 = y w get no?+ f me6 ,!re are yet two z]oes to dispose (4 ,,m9]va assumes t1 on e occasion1 a son comes ( age2 & t x is only su* a son :o is tipp$ ) gold4 ,is x wise ?us to int]pret n[1 my boys1 calculate y\r ages1 & y %all h ! money8 ,,brad%aw ,,( ,,! ,,future says let ! ages at fir/ be #i1 #f1 #c1 !n assumes t ! second occasion 0 #f ye>s aft]w>ds1 & on ^! baseless assumptions br+s out ! "r answ]s4 ,guide future travell]s1 an ?\ wilt3 ?\ art no ,brad%aw = ?is ,age6 ,( ^? :o w9 hon\rs1 ! m]ely hon\rable are two4 ,,d9ah ,,mite asc]ta9s 7rightly7 ! relation%ip betwe5 ! ?ree ages at fir/1 b !n assumes "o ( !m to be #f1 ?us mak+ ! re/ ( h] solution t5tative4 ,m4 ,f4 ,c4 does ! algebra all "r up to ! conclusion t ! pres5t ages are #ez1 #fz1 & #gz2 x !n assumes1 )\t giv+ any reason1 t #gz #ba4 ,( ! m hon\rable1 ,,delta attempts a novelty--to discov] :i* son comes ( age by elim9ation3 x assumes1 successively1 t x is ! middle "o1 & t x is ! y\nge/2 & 9 ea* case x app>5tly br+s out an absurdity4 ,/ill1 z ! pro( conta9s ! foll[+ bit ( algebra1 #fc #gx #dy2 9999 !re=e #ba x #d sev5?s ( y1 ,i tru/ x w admit t its pro( is n q conclusive4 ,! re/ ( its "w is good4 ,,magpie betrays ! deplorable t5d5cy ( h] tribe--to appropriate any /ray conclusion %e comes across1 )\t hav+ any /rict logical "r to x4 ,assum+ ,a1 ,b1 ,c1 z ! ages at fir/1 & ,d z ! numb] ( ! ye>s t h elaps$ s9ce !n1 %e f9ds 7rightly7 ! #c equations1 #b;,a ,b1 ,c ,b ,a1 ,d #b;,b4 ,%e !n says suppos+ t ,a #a1 !n ,b #b1 ,c #c1 & ,d #d4 ,!re=e = ,a1 ,b1 ,c1 ,d1 f\r numb]s are want$ :i* %all be to ea* o!r z #a3b3c3d4 ,x is 9 ! !re=e t ,i detect ! unconsci5ti\sness ( ?is bird4 ,! conclusion is true1 b ?is is only because ! equations are homog5e\s 7i4e4 hav+ "o unkn[n 9 ea* t]m71 a fact :i* ,i /rongly suspect _h n be5 grasp$--,i beg p>don1 claw$--by h]4 ,7 ,i to lay ?is little pitfall1 ,a #a ,b1 ,b #a ,c2 suppos+ ,a #a1 !n ,b #b & ,c #c4 ,!re=e = ,a1 ,b1 ,c1 ?ree numb]s are want$ :i* %all be to "o ano!r z #a3b3c1 w\ld y n flutt] d[n into x1 oh ,,magpie1 z amiably z a ,dove8 ,,simple ,,susan is any?+ b simple to me4 ,aft] asc]ta9+ t ! #c ages at fir/ are z #c3b3a1 %e says !n1 z two-?irds ( _! sum1 add$ to "o ( !m1 #ba1 ! sum _c exce$ #cj1 & consequ5tly ! highe/ _c exce$ #ae4 ,i suppose h] 7m5tal7 argum5t is some?+ l ?is3--two-?irds ( sum1 "o age1 #ba2 9999 !re=e sum1 #c halves ( "o age1 #ca & a half4 ,b #c halves ( "o age _c be less ?an #a &-a-half 7"h ,i p]ceive t ,,simple ,,susan w\ld on no acc\nt pres5t a gu9ea to a new-born baby67 h5ce ! sum _c exce$ #cj4 ,?is is +5i\s1 b h] pro(1 aft] t1 is 7z %e c&idly admits7 clumsy & r\ndab\t4 ,%e f9ds t !re are #e possible sets ( ages1 & elim9ates f\r ( !m4 ,suppose t1 in/ead ( #e1 !re _h be5 #e million possible sets8 ,w\ld ,,simple ,,susan h c\rage\sly ord]$ 9 ! necess>y gallon ( ink & ream ( pap]8 ,! solution s5t 9 by ,c4 ,r4 is1 l t ( ,,simple ,,susan1 p>tly t5tative1 & s does n rise high] ?an be+ ,clumsily ,"r4 ,among ^? :o h e>n$ ! highe/ hon\rs1 ,,alg]non ,,bray solves ! problem q correctly1 b adds t !re is no?+ to exclude ! supposition t all ! ages 7 fractional4 ,?is w\ld make ! numb] ( answ]s inf9ite4 ,let me meekly prote/ t ,i nev] int5d$ my read]s to devote ! re/ ( _! lives to writ+ out answ]s6 ,e4 ,m4 ,,rix po9ts out t1 if fractional ages be admissible1 any "o ( ! ?ree sons might be ! "o come ( age2 b %e rightly rejects ?is supposition on ! gr\nd t x w\ld make ! problem indet]m9ate4 ,,:ite ,,sug> is ! only "o :o has detect$ an ov]sight ( m9e3 ,i _h =gott5 ! possibility 7:i* ( c\rse ought to be all[$ =7 t ! son1 :o came ( age t ye>1 ne$ n h done s by t day1 s t he might be only #bj4 ,?is gives a second solution1 viz41 #bj1 #bd1 #bh4 ,well said1 pure ,cry/al6 ,v]ily1 ?y fair disc\rse ha? be5 z sug>6 ,,class ,,li/4 ,i4 ,,alg]non ,,bray4 ,,an ,,old ,,fogey4 ,e4 ,m4 ,,rix4 ,g4 ,s4 ,c4 ,s4 ,s4 ,g4 ,,tokio4 ,t4 ,r4 ,,:ite ,,sug>4 ,,ii4 ,c4 ,r4 ,,delta4 ,,magpie4 ,,simple ,,susan4 ,,iii4 ,,d9ah ,,mite4 ,m4 ,f4 ,c4 99 99 99 99 99 ,i h receiv$ m ?an "o remon/rance on my ass]tion1 9 ! ,*elsea ,p5sion]s' problem1 t x 0 illogical to assume1 f ! datum #gj p4 c4 h lo/ an eye1 t #cj p4 c4 h n4 ,,alg]non ,,bray /ates1 z a p>allel case1 suppose ,tommy's fa!r gives him #d apples1 & he eats "o ( !m1 h[ _m has he left8 & says ,i ?9k we are ju/ifi$ 9 answ]+1 #c4 ,i ?9k s too4 ,!re is no mu/ "h1 & ! data are evid5tly meant to fix ! answ] exactly3 b1 if ! "q 7 set me h[ _m mu/ he h left81 ,i %\ld und]/& ! data to be t 8 fa!r gave him #d at lea/1 b may h giv5 him m4 ,i take ?is opportunity ( ?ank+ ^? :o h s5t1 along ) _! answ]s to ! ,t5? ,knot1 regrets t !re are no m ,knots to come1 or petitions t ,i %\ld recall my resolution to br+ !m to an end4 ,i am mo/ grateful = _! k9d words2 b ,i ?9k x wise/ to end :at1 at be/1 0 b a lame attempt4 ,! /ret*$ metre ( an antique song is beyond my compass2 & my puppets 7 nei!r di/9ctly 9 my life 7l ^? ,i n[ address71 nor yet 7l ,alice & ! ,mock ,turtle7 di/9ctly out ( x4 ,yet let me at lea/ fancy1 z ,i lay d[n ! p51 t ,i c>ry ) me into my sil5t life1 de> read]1 a f>ewell smile f y\r unse5 face1 & a k9dly f>ewell pressure f y\r unfelt h&6 ,& s1 good night6 ,p>t+ is su* sweet sorr[1 t ,i %all say good night6 till x be morr[4 ,,! ,,end ,,london3 ,,ri*>d ,,clay ,,& ,,sons1 ,,pr9t]s4 ,,turn ,,ov]4 ,,works ,,by ,,lewis ,,c>roll4 ,,alice',s ,,adv5tures ,,9 ,,wond]l&4 ,) ,=ty-two ,illu/rations by ,,t5niel4 ,cr[n #hvo1 clo?1 gilt edges1 price #fs4 ,sev5ty-fif? ,?\s&4 ,,translations ,,( ,,! ,,same--into ,fr5*1 by ,,h5ri ,,bu--into ,g]man1 by ,,antonie ,,zimm]mann--& into ,italian1 by ,t4 ,,pietroc,,la ,,rossetti--) ,,t5niel',s ,illu/rations4 ,cr[n #hvo1 clo?1 gilt edges1 price #fs4 ea*4 ,,?r\gh ,,! ,,look+-,,glass1 ,,& ,,:at ,,alice ,,f\nd ,,!re4 ,) ,fifty ,illu/rations by ,,t5niel4 ,cr[n #hvo1 clo?1 gilt edges1 price #fs4 ,fifty-six? ,?\s&4 ,,rhyme8 ,,& ,,reason8 ,) ,sixty-five ,illu/rations by ,,ar?ur ,b4 ,,fro/1 & ,n9e by ,,h5ry ,,holiday4 7,?is book is a repr9t1 ) a few additions1 ( ! comic portion ( ,phantasmagoria & o!r ,poems1 & ( ,! ,hunt+ ( ! ,sn>k4 ,mr4 ,fro/'s pictures are new47 ,cr[n #hvo1 clo?1 col\r$ edges1 price #gs4 ,fifty ,?\s&4 ,a ,,tangl$ ,,tale4 ,repr9t$ f ,! ,mon?ly ,packet4 ,) ,six ,illu/rations by ,ar?ur ,b4 ,fro/4 ,cr[n #hvo1 #ds4 #f;d4 99 99 99 99 99 ,n4,b4 ,9 sell+ ! above-m5tion$ books to ! ,trade1 ,messrs4 ,macmillan & ,co4 w abate #b;d4 9 ! %ill+ 7no odd copies71 & all[ #e p] c5t4 disc\nt = paym5t )9 six mon?s1 & #aj p] c5t4 = ca%4 ,9 sell+ !m to ! ,public 7= ca% only7 !y w all[ #aj p] c5t4 disc\nt4 99 99 99 99 99 ,,mr4 ,,lewis ,,c>roll1 hav+ be5 reque/$ to all[ ,,an ,,ea/] ,,greet+ 7a leaflet1 address$ to *ildr51 & frequ5tly giv5 ) 8 books7 to be sold sep>ately1 has arrang$ ) ,messrs4 ,h>rison1 ( #ei1 ,pall ,mall1 :o w supply a s+le copy = #a;d41 or #ab = #i;d41 or #ajj = #es4 ,,macmillan ,,& ,,co41 ,,london4 ,,london3 ,,ri*>d ,,clay ,,& ,,sons1 ,,pr9t]s4 99 99 99 99 99 ,transcrib]'s note ,! foll[+ *anges h be5 made to ! text3 ,page #hh3 he corn]s ( ! *ang$ to ! corn]s ( !4 ,page #ie3 ,aix-le-,ba9s *ang$ to ,aix-les-,ba9s4 ,page #ajh3 #c_/e1 #b1 #a_/c *ang$ to #c_/e1 #b_/c1 #a_/c4 ,page #aad3 #aj ( ! #ab cases *ang$ to #aj ( ! #ac cases4 ,page #aba3 f\r-& f\rp5ce *ang$ to f\r-&-f\rp5ce4 ,la/ page3 ,fif? ,?\s& *ang$ to ,fifty ,?\s&4