Principes de la géométrie analytique. Géométrie de l'espace, par L. Painvin.

336

z

f\ (z + at4 -y+c ~Z+ yz- + b' + 2- + fcy 3 +. -—... =.
_ x; I~ |V=z^+a1,x B-y9+C1z+~2a-I -+ Zb'LTiCt+c;zyr /
t l or^ r lt r e l Lonjfc ylctco rr- y /dr~ c p-.t //ili- p _ aTIL fda 7
Y (2-) ry-zT.Z -, TLXue ('a4-IoTZ)- y7aoLm. ^. oT-TL-s
t in/ z.1 —7.rz ILO-y } lt a ant- 7- 'qt, yJ-i.et '(3) x. = -A y +r B z,
k- z / t — e co
(3 egi) A n- + B.r. 1
| IiorTL, lJax- ce -,: lar-, j icUa ' Y>tced TY c V on7, ~>erctiemen.t pou - pct or,-:
U, It -t 4aAy-+ Bz-^)y~ (c'y + 'Z)(Ay-~+)B-) +-y'+ 2 ay-cz tc -.- -.+ ~-,-
-' _
() xdi- ~+- (Ay~+ yz+2 (ty )(Ay+B) y + a, yt +c, t. — ) + --./-/*i7janie enI o 0JC4 /}OniL JL^ au L a^Cecf p - ( e t Ceiwi b1Th- awcir.ci- dea L ectiond ^ e-Ti e reemrneat ia e cIe so ponro oeo-tcs acm eG
0o cir Cd-n 71eZ e-G2rx da dezTc feplctd- wcrz'_ i ~aj-o- i- / ta. - V pztzze.f ee p/aiL e- p io -Y, peP e l- ^ep s r cdne-e conmm- (Jd in 0 eZ rC.
JO cfnlor /(" Ci7TA 7-'i- aii c O -zzazu)eI.ai- - d egz aSLw l (Lb):
|(5) E.,= TX, =o (a- V s(A —zy+t-Z)2 (c c;)y(i- '- b',) 2) (Ay+i?'z)+(b,1) y2 (ia''l ) yz + (c - c0; J/ (Ay i itz -fy t) - (in) (Ay1-Bz xA)>
C/2- 0, dA ert. eJ4 /o27b co0-re- c- 0 et 0 e ceianmar" c/P TLh et <? 7e0 e /iil _ eon l Sae, dc pezn4earnaJ-zo i-eeA oii 1a-cejdtjnL "acc 0 e& —
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Ien~ po-~ oicti U ~ —,,coowr /.r CO1LtnC
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dif 'iz:ailitZ ()) d io*-aL zr oo.n u/e'',_..:ozorIa ce"-CCoJe 0L doz-_.zzc-. enz ze-, - ce.,'a~. rea ' m mec_. - o
[-rr:,_ 70_71 c -1 I- i tLa. el~-_ '
5C4. d e/ah4in J ace- tCt f L~ T LZ2c 'an LCetu dfnel-.&e aoi Ncm / a~7 em- tcn e te-t
(6) ' TL, et (a-at)o '-c) +(bL-,) ';
c. a. d -z. te platfl - ecL nrti/ dize- TXJC' pai - Z owe oa. Iazde. l eL dewrc dlez-ti-cj
| (7) t - o, (a _ a, l) t (~c '-c )- xy + 2 C -:, ) y-Ytc7;
Ce joit le6 Ltxri4 <ente6 a t..- otirtW lLuWt- 0 dte- i cL -cix <auxcuae-~
oi-ntibdbnc, enT ec9t;, ut. Z une, p/arx., dpa)lJIt-l prL _ ut(_-zzmze CAe i dcokid 'CezrLconitce ZC cowcIe- ia-n e on_ &ozo polntb coLincizaze aeec 0.
Ji ri- o^rLplif-mi-t/ let calczt naTacziz ciSioztviioncr /ed l e, l c, - (7) 7ouwc aI-cc 0 aOc eli 0S,- ce qru. 'ceazta a otppolet
7 c Lyl.0i<3i di ZZ7_ /p1/t -3. tiar i a- pa-cia Cn pi-ri O;c-, C) a id
(8) y=:kX,

c /Jd^ tn deciti ooT de5 i jccd'o-Ji4 cde-I i4cje6 J c Yt ST ac f C( a:/L set-t
TUr, v, +(Lb4 X Z'+ 2C) z ~((cX + bl) x +a=4-c (.,: X, ~)+.. - =c,
V V~-..+(- 4.=tbz-a'- Zc,) a)' — 2 2-+ 3(k, 1)+ —~'
J | ' 7einlon, om-c — /ieccceeirnine-et I co0 In trm or LTL(lo) Z,= -V, =x9-) ([; "(a'- a0 +-c-1 ~ - (c'-c;) x+ '-l-3 -1 - - -
ffltV( d ele -cr-frTne.c. A;oTniti- died toitn' ccoitic-tianli a-etC 0 ci cot-mmnzph - a. TT) ot '; / >Amrm u /cL 0-o d-rMe cirnzcc cnr-Of-noilOn iepreedeterofnl