The quartic curve and its inscribed configurations

232

Transcript of The quartic curve and its inscribed configurations

Page 1: The quartic curve and its inscribed configurations
Page 2: The quartic curve and its inscribed configurations

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Page 3: The quartic curve and its inscribed configurations
Page 4: The quartic curve and its inscribed configurations

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Page 5: The quartic curve and its inscribed configurations
Page 6: The quartic curve and its inscribed configurations
Page 7: The quartic curve and its inscribed configurations
Page 8: The quartic curve and its inscribed configurations

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Page 9: The quartic curve and its inscribed configurations

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Page 10: The quartic curve and its inscribed configurations
Page 11: The quartic curve and its inscribed configurations

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Page 12: The quartic curve and its inscribed configurations
Page 13: The quartic curve and its inscribed configurations

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Page 14: The quartic curve and its inscribed configurations
Page 15: The quartic curve and its inscribed configurations

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Page 16: The quartic curve and its inscribed configurations
Page 17: The quartic curve and its inscribed configurations

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Page 18: The quartic curve and its inscribed configurations
Page 19: The quartic curve and its inscribed configurations

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Page 20: The quartic curve and its inscribed configurations
Page 21: The quartic curve and its inscribed configurations

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Page 22: The quartic curve and its inscribed configurations
Page 23: The quartic curve and its inscribed configurations

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Page 24: The quartic curve and its inscribed configurations
Page 25: The quartic curve and its inscribed configurations

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Page 26: The quartic curve and its inscribed configurations
Page 27: The quartic curve and its inscribed configurations

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Page 28: The quartic curve and its inscribed configurations
Page 29: The quartic curve and its inscribed configurations

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Page 31: The quartic curve and its inscribed configurations

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Page 32: The quartic curve and its inscribed configurations
Page 33: The quartic curve and its inscribed configurations

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Page 34: The quartic curve and its inscribed configurations
Page 35: The quartic curve and its inscribed configurations

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Page 36: The quartic curve and its inscribed configurations
Page 37: The quartic curve and its inscribed configurations

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Page 38: The quartic curve and its inscribed configurations
Page 39: The quartic curve and its inscribed configurations

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Page 40: The quartic curve and its inscribed configurations
Page 41: The quartic curve and its inscribed configurations
Page 42: The quartic curve and its inscribed configurations
Page 43: The quartic curve and its inscribed configurations

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Page 44: The quartic curve and its inscribed configurations
Page 45: The quartic curve and its inscribed configurations

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Page 46: The quartic curve and its inscribed configurations
Page 47: The quartic curve and its inscribed configurations

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Page 48: The quartic curve and its inscribed configurations
Page 49: The quartic curve and its inscribed configurations

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Page 51: The quartic curve and its inscribed configurations

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Page 52: The quartic curve and its inscribed configurations
Page 53: The quartic curve and its inscribed configurations

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Page 54: The quartic curve and its inscribed configurations
Page 55: The quartic curve and its inscribed configurations

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Page 56: The quartic curve and its inscribed configurations
Page 57: The quartic curve and its inscribed configurations

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Page 58: The quartic curve and its inscribed configurations
Page 59: The quartic curve and its inscribed configurations

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Page 60: The quartic curve and its inscribed configurations
Page 61: The quartic curve and its inscribed configurations

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Page 62: The quartic curve and its inscribed configurations
Page 63: The quartic curve and its inscribed configurations

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Page 64: The quartic curve and its inscribed configurations
Page 65: The quartic curve and its inscribed configurations

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Page 66: The quartic curve and its inscribed configurations
Page 67: The quartic curve and its inscribed configurations

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Page 68: The quartic curve and its inscribed configurations
Page 69: The quartic curve and its inscribed configurations

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Page 70: The quartic curve and its inscribed configurations
Page 71: The quartic curve and its inscribed configurations

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Page 72: The quartic curve and its inscribed configurations
Page 73: The quartic curve and its inscribed configurations

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Page 74: The quartic curve and its inscribed configurations
Page 75: The quartic curve and its inscribed configurations

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Page 76: The quartic curve and its inscribed configurations
Page 77: The quartic curve and its inscribed configurations
Page 78: The quartic curve and its inscribed configurations
Page 79: The quartic curve and its inscribed configurations

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Page 80: The quartic curve and its inscribed configurations
Page 81: The quartic curve and its inscribed configurations

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Page 82: The quartic curve and its inscribed configurations
Page 83: The quartic curve and its inscribed configurations

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Page 84: The quartic curve and its inscribed configurations
Page 85: The quartic curve and its inscribed configurations

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Page 86: The quartic curve and its inscribed configurations
Page 87: The quartic curve and its inscribed configurations

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Page 88: The quartic curve and its inscribed configurations
Page 89: The quartic curve and its inscribed configurations

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Page 90: The quartic curve and its inscribed configurations
Page 91: The quartic curve and its inscribed configurations
Page 92: The quartic curve and its inscribed configurations
Page 93: The quartic curve and its inscribed configurations

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Page 94: The quartic curve and its inscribed configurations
Page 95: The quartic curve and its inscribed configurations

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Page 96: The quartic curve and its inscribed configurations
Page 97: The quartic curve and its inscribed configurations

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Page 98: The quartic curve and its inscribed configurations
Page 99: The quartic curve and its inscribed configurations

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Page 100: The quartic curve and its inscribed configurations
Page 101: The quartic curve and its inscribed configurations

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Page 102: The quartic curve and its inscribed configurations
Page 103: The quartic curve and its inscribed configurations

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Page 104: The quartic curve and its inscribed configurations
Page 105: The quartic curve and its inscribed configurations

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Page 106: The quartic curve and its inscribed configurations
Page 107: The quartic curve and its inscribed configurations

TL. skaw Cc^c (..T^OUv ^&vv<A.<ctM -os^

c<^ ot-i ^ 3 imu a±. lujuL

(Tp k)ai^ ff>- '

sUU.lJL IcryJiM. UiM, itsi. 'MJinx. -irCW- hcn^<-M Out.

CijvvLC. r^. ne^ct <'^*^ S<<J2^ "teo«^ oil- h<n-^ C<JU 01,. «. OrK/uc

ML»>.<m.qA "tlju IZaXj^ -VO-ie. poiyvJ^L »y^-J~ So (A'V^^^'^irVTv^^ UvJi a. .S-eAT .T;

Page 108: The quartic curve and its inscribed configurations
Page 109: The quartic curve and its inscribed configurations

OJU. (kAJArcJ. -fA<T»- tL. "^ a^,v^x^-A^ c«i%/^ Ur^c^ T5v.ci. TC*. j><A~^\

C^vJiijei (xi- (Ae- "S^ Tiu-a^^ -j-A/n^ ' 5 C^ -Ki^ 0>v a. '^l/^iiS/LXi.c.

C«aak un,a. IAjuj. -6aX<a.(>wo-oU« uri^cM. -t^ ovs. C^

<iuja^tc C44Ao«. Unil T^Afi*. -&tJW1o,,,^jt;/«^ Sct^cJiJ. (Tv. t^ '^Uhjrtk

Page 110: The quartic curve and its inscribed configurations
Page 111: The quartic curve and its inscribed configurations
Page 112: The quartic curve and its inscribed configurations
Page 113: The quartic curve and its inscribed configurations
Page 114: The quartic curve and its inscribed configurations
Page 115: The quartic curve and its inscribed configurations
Page 116: The quartic curve and its inscribed configurations
Page 117: The quartic curve and its inscribed configurations

f

urUxL e = I.

u

3C - •^X ^ - xoc ->: - s^"^

Co'iAJU.ixrKJ^ Ti. a. (uJn-c, c«,vi^ U^<jvLaA. »U. -Save*,. p<Twai ([, .

J = .^+^x^ /,X -t- /, 30 — O ocu X

Page 118: The quartic curve and its inscribed configurations
Page 119: The quartic curve and its inscribed configurations

T^

Page 120: The quartic curve and its inscribed configurations
Page 121: The quartic curve and its inscribed configurations

A o«/M^ tJt^ otcv^i 0~ o:t T t^ A. dujudi^ cLJUaaj!^ -|A-e%^

"a.«. 'jp>/.-^a^J^<JL OVoL C-<>Vut4-4 <TV,J^ "t. C. tv^..<>t (o-^oi. ~fe-£^ ~^fe_

Page 122: The quartic curve and its inscribed configurations
Page 123: The quartic curve and its inscribed configurations

|a(. + >,-^4^^ = o (3)

= ^ i.

^/-§Z '^Y-?/ f2->]Y

tL^., X/gY-fxT+ Y(f2->,YJ"+ x/»,X-e^y = o.

X = 2 , Y - ^ ,^ - § ,

^tt -tfl^tr'-l >. its. -*<~A,!

/" Y ." t^" X = ° (.'>

c'^f^XS €'".,' Y' * c'^g'z' - (^%2<^€'*')Y^ -(^'^^%t)xx- ,\\u.gs<'')y.\ ^o_

I

Page 124: The quartic curve and its inscribed configurations
Page 125: The quartic curve and its inscribed configurations

,<w, •BoU»_^. tjU M*-.U._^MA.. ^1 ifjs; '/.3 fB <VA.

Page 126: The quartic curve and its inscribed configurations
Page 127: The quartic curve and its inscribed configurations

A Soi ffjj Oj^aJLt .xMer<n.cJiA. \3<Tt'^i i^ CpA«. -j-A-ffv,. i.JW-rX. \\Kg,(^ <,

O^fc "*« CoVvutM cri- "tti (ifc«XLfitv<r>v <rf_ -'^•eXeA.t^oe. "ttc <rKx\. •j-'o'*'^ po^,v^X^

(l, -&, 146. 2i»+ . + S) I '. -0 .^-S ,- I, S, S + r\ S, li-B

,I

,

Page 128: The quartic curve and its inscribed configurations
Page 129: The quartic curve and its inscribed configurations

A = &^ 5. + 2.6 S, -(- S^ =- o.

a^<.

HtA^ ?fru>«. G«<A-v«4 S««. iJ^o Q«AiiafdL. "Rawi. Po^A^-a. U^'^iJ ^ Cco^wc .R&v,J»

.

I

!

Page 130: The quartic curve and its inscribed configurations
Page 131: The quartic curve and its inscribed configurations

boVU* 'VUKcn-j^ ^^le poSw crfj- Tu«. "toe "Lo-wg^vii VLfum-Jbl. r "t C_j^

B ^ 4^ 2. -t- !^4 2I

+ S^ = o

M [ 6<^ . s^^., 71 =. o,

Page 132: The quartic curve and its inscribed configurations
Page 133: The quartic curve and its inscribed configurations

H [^if;, &+?(;, 1^-^, H [4>^ .4^'^ ' 1

^-"

-UoL fvu^iL r\jLaAi^ 1^ CD. Tlu2. J- (Avt tCtejL Axru^ <r^ - ~U^-

ddll^^v,,^,^,^^^ OrvCtx-v. o>v£j, & ^~i^ -<^3-\-t- "ttU^at. A^ji^ OrCt^u^

Page 134: The quartic curve and its inscribed configurations
Page 135: The quartic curve and its inscribed configurations

tfci- V^ '>\.at aJJL a-**>< -Az-t*. t JDAo-^a*. 'UU.a^^.^SliiA.

J-\- r<.S m

r-

Page 136: The quartic curve and its inscribed configurations
Page 137: The quartic curve and its inscribed configurations

a. Uc. Get .3 ^ft'-y. T^,eM |. a^ aos .

Page 138: The quartic curve and its inscribed configurations
Page 139: The quartic curve and its inscribed configurations

To S«a. "t^ jbi u* pui

Page 140: The quartic curve and its inscribed configurations
Page 141: The quartic curve and its inscribed configurations
Page 142: The quartic curve and its inscribed configurations
Page 143: The quartic curve and its inscribed configurations

V '. CLo.i-«.. -4 fV«A<X. Uv 4-Gj>^. "^ai- e«Jt>L tfi^ 'XC«A»- C-T>.^OS

urv-Ctjn Cy Uv --|-a^^A. powJi

<^_i|/ Tf>-^ 0-4

Page 144: The quartic curve and its inscribed configurations
Page 145: The quartic curve and its inscribed configurations

o:|_ Corxt)^^ urot Oi., cr{_ "ttii S(.ol*i oil- o-k^l <Ja^ ^C^ <3/t--c^>'^^X<i.foiuȣi,

ri-y>&-'x) ^,''^^<^a + (T^-eK4-x")T<,-Mi'u,v^ + Ct'-^Xv-X' •^r U/.to'. ^. o,\

Page 146: The quartic curve and its inscribed configurations
Page 147: The quartic curve and its inscribed configurations

(1)

(TL povvJ^< Un Ulv^rX Wji Sl/5<_ JoaIa^ ai.^ 'U^^iiA^i^,_. '^('•^i,, '^/''z- -*'(^l

'\LtJ: iJLs^ \Lh*J^ <it«a<r>-oJ2. YXTvJti eL ijijJL JL- wUiiT. TqJAaJa -U*. ffK lis:

rlc+lti*^ H rfl iio. fuJ)-T-c Cywv,.*^^ f^^-j_

UrU^ "TCa- -•''«:• |oa,..' V. 'ri.

lA. o-L-t-pM-»-T-N = 0,

Page 148: The quartic curve and its inscribed configurations
Page 149: The quartic curve and its inscribed configurations

Tlvt <UfX*.<A L.M.N OAA So /ulJ/cCtlt:i iLmi: Hi. CLy-« t<r>-J

M ± N - - . K/ ± L -- , L L M — .

C.O><^ n^.;e^x£w -i!>f- cr±— tUfi. _^crVi~^

L - 'BG.-i-A^ — . iA ^ CA+SV ^ , hf E AB ^- CD - o

ur^t'ii A . Ti , e . T) ana. -fit-^^Aax -f-u^citc^ of- "^ Or^.^'. '.

Tkt «^c|^^Ai-<7>, ail "iL. Ci/u-^vt-c cwiv*. '»->--4M. 'Vwr«-- -&<- u^-vofe- u, tCa.

Seot/TX <iX- Ttl-a C^.,'>»u<.c ru/JLacM. SU^,otejji ot-l_ ^t^/tjn^^^ H l^-^-fW:.

1. iunvrtiet'i Tffwwv-je. s«^ 4. -til" as^ (i^TlJ

Page 150: The quartic curve and its inscribed configurations
Page 151: The quartic curve and its inscribed configurations
Page 152: The quartic curve and its inscribed configurations
Page 153: The quartic curve and its inscribed configurations

\o Di -4--iu D L^ yu c^ 1. JuUf,^

-|- u^e:t<-<y>-S .

^*^ "t Sea. "t^xt u><. -^o..^ tCa. -^ orflLywWv-, ,;»4j^<:iA.ir>>^

Tivt <it,^<rj>.>.j_i* o^ ttuLj Seci^c .^ .J> L-. V Hu.v~l.tAi L.c cd:.

A eU^tM-cc cwaa^^Lc .

Page 154: The quartic curve and its inscribed configurations
Page 155: The quartic curve and its inscribed configurations

ci+b + C =0 ^-h^* a. X. o <y+o.-«-t-s.o ix + fi+ ')r=o "\

«+ k'+t' = O p -f-c' + o.' 5. o "fr^ «.' 4- V t x'+fl'-i. y £ o (

y*'cti a<-;. at^

2. (a. + t-tc) =0

V«.

Ol + 0+<

o(' ^ a. + cj + <o'f^'— 1'+'-' + '^' y' ^ c+ uj+w' J

Page 156: The quartic curve and its inscribed configurations
Page 157: The quartic curve and its inscribed configurations

uni«A<. 'Jl«.; 'vvAt.'U IJ rt-A-«/U^

_u><. <rw«:7i/.j<. uL<iir "tttAje. 'Vyvix-v-t- ve.

iWA 'Vw'.C- Q i-^*tAX* ) m>u?t<.a^^ "cua. St«Cl£.e^ pCrvUC< <ri- l^o- Or^^-<^<-^.^^-7--

o>^ v^xit^. ^ s^(ti^-t -;a^.- !<^.t ^4

Page 158: The quartic curve and its inscribed configurations
Page 159: The quartic curve and its inscribed configurations

V + Y -<- "W ^ -^

Xc^ L.

3^ T -i*^ ^ -(L< ic^ t^ Y^cwfeU "'i . "V, V G*^ -^

Page 160: The quartic curve and its inscribed configurations
Page 161: The quartic curve and its inscribed configurations

\»\- Scn-A. lU^^ He c^i-v^j^ ct -yw "hU, ^'il-i-.ic-C (J- .

[iA**-6^ Ca«. O'wjL -J^Uv^J t^l^ "t. -<>«.

Page 162: The quartic curve and its inscribed configurations
Page 163: The quartic curve and its inscribed configurations

aM.a.UAxi:<wM.«X a>tt inZa^^az^ un\.o\f. )p<n^ el. CcrwtAcX cAjt. '

Co^tw^i &-L Eta aij^a.cl'iJCMAeAuJL, o t*vce. wLc tt^v^. L_ i-vifiizXs | ^ ',

Six. p<rvvv'l4 it i-oC^curS lA-^t liji^uL. OAJL Sl/^ Si^oh. (m^c^M <r/ i'-UA-^cJi

01 02. 03 , 41 42- 43 iii Ca- ii.

II ija. Tjj - - 23 3 1 I" ,

M-t_ <p^ ft. cUit, . \S OUT Ini «. ~%Lc>A£^v», OouL 'fe C^-C-UC^ UmL

b(rV>U6 odt- l*aiA4CC*iuj>v oi Wot. Sl-»c baVi^ oxL &tXa*va,*«^li ^o£<y>vi t-v^j

Page 164: The quartic curve and its inscribed configurations
Page 165: The quartic curve and its inscribed configurations

Mtt ' t<.!, ^ i-t>-^ t-- C cr>vcA<-oU'>va, tkaX lldlAA. (X^UL. ffvdL̂I J.

Page 166: The quartic curve and its inscribed configurations
Page 167: The quartic curve and its inscribed configurations

^ /; "';.

Page 168: The quartic curve and its inscribed configurations
Page 169: The quartic curve and its inscribed configurations

...1 _<7o^oL^-Jil <rL' 'cL.fj.

. . -- ^

'^ ",

O.^ O-ac -t- k^ -f- Q £_ o

-^ " •

F.< T^ ^, C,, ol'"-*- Vl--^^§'''^ "

Page 170: The quartic curve and its inscribed configurations
Page 171: The quartic curve and its inscribed configurations

^ ^ t

^JL^

Si-if-^M c Cro^^.M^-u^KAJA^

a, ^„ c,.

q-H,

HF, FQ

|3, <\ ^, c,.

I.

o,

o.

k ^o 6-. ^ •

K ^o ^5 ='

-S, a, 4 c,

S:. -&, C, a.

^3 ^. '^ \-t, a, c^ ^^

tj c, e-, a,

A .

Page 172: The quartic curve and its inscribed configurations
Page 173: The quartic curve and its inscribed configurations

b -= <^s.^s^&^ T i, . ^, ^,, ,

', ' - ,^

Li-vtei lO^oL -tcv^v a-iUeA, Ki^^tLS yy^JuJUyi^,

13. j^ay-Ji ffjL L,{ie. O , /(A^

STj^ ^ <rt^ . S,Aj , S^cj,^ . s,|3, -ckGf , HF , .a^Q-

"r,\- +-, K ^,,.,. \'^, -fj.q , c4F is-CL

. , .;. G,H .-<JvF,

K^r

,"x. +.'^,+3^ i^ •HF

i.i)

Page 174: The quartic curve and its inscribed configurations
Page 175: The quartic curve and its inscribed configurations

liL ;^* ^^,.MJ/.i

lujuuA

«;' = <><« \io, T" ^'- '^\

'

4 = <^. % r- <^-i- «- *-"-

"^J= =f.. fie. r» Mx - Fx c^j|_ =- «

^' = <^3, /3., ^3. 4^* ^ ''3'^ "^ "^"^ "^

4'= °U (33, 'J^a.a|at -nCd|-tj.;u.-f cilL ^ «

c.' = ^.^ (i,^r;*

^cc + k^^ + ^i^^L = o

<- -^ (3.^ r-> ^,

.

MLl bcrvvvt OL ^ivLv4j",v^«'K oil, <X <^ tUJL So - ''*-*- Cffw^^^^jiij.

(m)

Page 176: The quartic curve and its inscribed configurations
Page 177: The quartic curve and its inscribed configurations

<^",

a a. —

Page 178: The quartic curve and its inscribed configurations
Page 179: The quartic curve and its inscribed configurations

To ito^ iU oU,, iL .

Page 180: The quartic curve and its inscribed configurations
Page 181: The quartic curve and its inscribed configurations

He ae.JM.eeJ. -Svi e<TK4(.fl(M-i/vjt a, SocaEoj^ <si-^ ite. ««^4rwwc ^u\2.asx~

-CiAA't <;i4A<^^o( -i^M_ Hem. -^ a/!,<»,Kj-i/v,«. rq,*,-,*wt t

'SU'-a/uLc. OiA«< MtUjiUx. p«»*i*4 ^M<7M>p*, lt<.

-: - Mljt G«HXt,-<,cllAAjyv . T(u4 <U«xaZl<•<-C CUAV<-

Page 182: The quartic curve and its inscribed configurations
Page 183: The quartic curve and its inscribed configurations

f 3C -t- 'V| -w -J- S

Oc -4- H^ -+ -ic^ -(- Z k 5Cv ^ = o.

.J. 5.4- [joi^Ji <rv <^ c<j>-ti_a^i,u/i,«ijfc<»^ -iLdv-t.

vCk~l)'^i^ -^CX-dtj.'^ + 'X(ft-0 xV - l^Cf^-O'^toc -4- f<.tv-()oc'^ -

d<-^^.

Page 184: The quartic curve and its inscribed configurations
Page 185: The quartic curve and its inscribed configurations
Page 186: The quartic curve and its inscribed configurations
Page 187: The quartic curve and its inscribed configurations

a,w**. CxjJtc. £U<A<X- H <'i-<i WTrlA. Tt<.fl

«k6m <>»A.<U</..a cA< f"

"tlUt*. 2-4- J^ov^ cu>^ ^ aAA.a,v^««JL u-t t«ji> 5«ii ^ \t>M_ a^aA^

fj^Meiiu^ -it.. laAof^dZ" "u^cU^ V ^lWi ((V) . W^ CU^ t>^

ci IL >-.. f,^ 1. ov. l^ He^^c-. K.

Page 188: The quartic curve and its inscribed configurations
Page 189: The quartic curve and its inscribed configurations

aw A. U-- -^

Page 190: The quartic curve and its inscribed configurations
Page 191: The quartic curve and its inscribed configurations
Page 192: The quartic curve and its inscribed configurations
Page 193: The quartic curve and its inscribed configurations
Page 194: The quartic curve and its inscribed configurations
Page 195: The quartic curve and its inscribed configurations

ifAi -tvv^i ^_....,_^ tWfi. co-i

Page 196: The quartic curve and its inscribed configurations
Page 197: The quartic curve and its inscribed configurations

IbtJ. '^.ia-^a. £<Al_ ni*<5 'Tkm. Su^,..1 '•-»*«- ^4

'U. (s'u^C-^ «/>-Kx/>.^'L^rfcov UrU^ lluAir cri^ ^ IaZuju.

Page 198: The quartic curve and its inscribed configurations
Page 199: The quartic curve and its inscribed configurations

(i^^"-J^

-'I't^ |?»v.-l4 <rvv ^fcL ai^i^ .TUt yvtiJ "'"6*^ '^

-flV'TX (iL^VAii4 ^OMiidU^'i hjlv^c^'M M^ah A. Mrito^-[^ ^i

^„..:, ..ilcJl €.tite/<. oM. iot (ndZltis. \t^ l^JtiJyAfjL ^>^M^rrz^ t£a. u!^

4vfcuv5u2^^ 15^ o^- (JLcL 'iy.iu^ Ae>dL (poUoh <jt- C/J^ct

.

C3"\ RjwL /iJZfliL Ipcuob <n^ "»>«- cl<y^-cc. o^vJL "T^jo yeuKi

4 tf^ W^'c^ -£l<w<. A£aQ. \poi^ <ji- CoriCbw^.

W TLjd ^'iCftfi- |3<«-wJi <rK t£j. comac ar~JL ^Wu. pa*A-i <^| ccr>-^^-J«_

i^S) Ho hiLJi[

f'<7UA. |3A*M *A;^

Page 200: The quartic curve and its inscribed configurations
Page 201: The quartic curve and its inscribed configurations
Page 202: The quartic curve and its inscribed configurations
Page 203: The quartic curve and its inscribed configurations
Page 204: The quartic curve and its inscribed configurations
Page 205: The quartic curve and its inscribed configurations

UrLc£. L-a<i-i. ^ Ln JJA^tw cI^Jm If H^g. Ltd 0'J\jJIm oAj <| ttr

HXULMi^^JML CO Su.o^ Cfln^c^ CUv -»C. OAuj^vjK .J'>v it-—

: r Co-, v._ ot LvigA-yg-C^ U, /^ bC^' D . A i/O/V^^^-'*- C-QVCC

Page 206: The quartic curve and its inscribed configurations
Page 207: The quartic curve and its inscribed configurations

AH^t/tv. ,-.... >^J- -• i«. iUA<4-«J3i. "^ .Bffi

Page 208: The quartic curve and its inscribed configurations
Page 209: The quartic curve and its inscribed configurations

ot= A-t

(|+>)M,x, +>i|U-^^,')

CA<i; cr^+ &H, a- |^£<va~c ~^<ru.«X. o^

Page 210: The quartic curve and its inscribed configurations
Page 211: The quartic curve and its inscribed configurations

a.

Page 212: The quartic curve and its inscribed configurations
Page 213: The quartic curve and its inscribed configurations

*^- Tt:t 1^^- ^^

J- =^

:1st

Page 214: The quartic curve and its inscribed configurations
Page 215: The quartic curve and its inscribed configurations

n' • <r

--Joe ' -a«, ' m't- ' -3S ~' nt-ir

M

e.

Page 216: The quartic curve and its inscribed configurations
Page 217: The quartic curve and its inscribed configurations

a/vj)L aZio -klrt. ttJL Co^M—^'Ot.a^

lUt. T'LOrt^^oVv^AluyK (i^ 'Vrv^Jce.j <^ *<-^^ (-k tilt (^^^z '3-^,

jj^O-^Ji CoVJU^V^ "fe -7/UtA/l/fc-C 4lt/»-*Ux<. iPu^yLo^^

Page 218: The quartic curve and its inscribed configurations
Page 219: The quartic curve and its inscribed configurations

Blc^^c^-^.

Page 220: The quartic curve and its inscribed configurations
Page 221: The quartic curve and its inscribed configurations
Page 222: The quartic curve and its inscribed configurations
Page 223: The quartic curve and its inscribed configurations
Page 224: The quartic curve and its inscribed configurations
Page 225: The quartic curve and its inscribed configurations
Page 226: The quartic curve and its inscribed configurations
Page 227: The quartic curve and its inscribed configurations
Page 228: The quartic curve and its inscribed configurations
Page 229: The quartic curve and its inscribed configurations
Page 230: The quartic curve and its inscribed configurations

<^-.

Page 231: The quartic curve and its inscribed configurations

•1.,w

Page 232: The quartic curve and its inscribed configurations