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

4-7

7noztUL azl.-IorL
A1 a a, A a a, A A a A A a
) 1- b b, = =- B B
IC C'cC c
C6 c c11 C c c, C C, c C C, c
n donnarmzt X, A6 1 ' l arl e K, le val (4/), 'l eflut-i (3) et tUlze-zderiil/./
LecL pJe, 7i eil- ailoz 'tH//le- 7z le- &l tru
(I) AM +vl, I,-=o,
pac upa'c-lad' ol A;. et Gli/ pat c 7a7laai oi/k (S) j rio' / (Sp, cwcp, Iz entit/i (3). Idcz)to "on' IlLtrn iJ)
pezt enrco'e -J eczre_
~. 'TT + m, t - Kt = o;
O'C, JoZIi ceeiw /neI on,. toif A_ ' lyp a le. point- (m= o, rrL,=o, t =<o), cd.. pale /e&point rle eenconlice 1e z
drLi ~ aclec- lpyiTa ik u a'e i.
CG1n daenzonJr4a^ dte..nemel /u le pl
(II) f m- = o
va^iie parL 'i/ Jco (g) ete4i-pazallplea/ dt1U dacoi/ (AC).
83. <t0il doeel C aaulor xo X, = o, Z=o, T=-o, deji,Lt Z'I facco d te- tx^o ['- eXc L c<ttlCo L L x11np
-p Lx uzcaco rt tc- pet lu to 0v? WC icu- &-r e 1 mecr o- - Co Ftne^
AX + BY+C. +DT=o.
toent Zej eztuaitton ded /tta/cle.plZauJ /otonfL~f X = ax + al-yt a, Z+ a,
Y =,b+ by+ bz +,,
Z = C x+ C, y+ cz + c,
Tr At xlc,-x cl7+cltL+,Sj
Joi, de. p14; / e4 aiTrz I l7.WI-plan/ ad ttlibcvwcIernerk caitZiJ(3) ntf+ m,y + m2z +3-m3 =o.
JI i 'ade onirce ue e 'zaiyorfL ^) petit touoL'c6 Je meffreaioJ leJ mex
(3 AX+ BY+ CZ +DT'o.
SC eL enCi /afo, reampro dan uequtin (3), Y, Y,Z T, pct I eV'c4 VaZezt'cJ (s), L-/-vlenril
(4) (Aa+ Bt-Cc +DB)x+(Aa,+ Bb,+Cc,DtBc,)y+c(Aa^,+B+t Cc2 c)z+ tAa3 + Bb+Cc-Dcl) =;
iLfatat maleo coarqztel z'fourLi' j dip+ eo-ec+de I ontaned A, B, C, D, mar.el —,. ie Zioi Z lra (l4) crr'e
Jerk( le plaw 2)r(.
()&,Gr pOw7c f itLerzLoiarzi& ii -zpeiZe't uet I ofi/ aor a7L
Aa Bb+t Cc +id Aa,+ B,+Cct+Dct, Aa-+,bbCc~+DIA Aa +Bb +Cc3 +-D3
m_ nti nUL2 3it.
I-L, en deCt7nanft a A ZX t C^s7romtnm7L7eC de ce /apo'dJ:
( AA +- + Cc + -D cLrnr, Aa2+~BM+~Cc2tDU = m
A a,+ Bb,+ Cc,+ Dc1=-a, A a3 + Bb3t Cc3+ ct X3 n t3.

zc iia/reeizatiaovn () aeiktcnrir t lei Jcappo-rb (A5 ), - ~; iL, edl i errrtl/ I r'ajypor pariBC vaiu b>akiicz
ezahiOrLu (L2) oL autLztam / z IjZ-ctpu/7L (2) L-Jot/ cLrawne annorLocee. /dctLJei'ueondhl&orn, paou.cz uelew e aLic c/iy
corullnde A,B, C, D, JoitentruWe etl Jelecuninte-, eSjaque le- erltzomzrateur- crmrtuLn-?r
a 1 c A
a, b, c, d,
a, b3 c, d
d3 b3 C3 d3