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

2o6

& cLLattiiL0) (1) pezlit 'c c.a ezcoreC — mrctLd cru - e ev;dcnce- po l, diL icri(3) (%ytZzQ) o a =(x tyy0+zzo)
333. (|cc Aet, Ca-nL cccc ta-rLL cL tn- pCtit cefe
|-^ Sp1i, d1, ccrwC ceIrilzc/ eIo ieCTLn plaLctnjet arLz t (l;) pa) Ju0). ZI aize n- LId 't i-cc- a' ct-ccIrc1 [inyiLcn aP pcltl
cctcl, (1) J<c'<
(7) (xcx, t yy+ zz,) co 2 (c oc d +y (c f3 +Z rc y) (Xco d+y CO +ro ta y),
i / o, L cardliorL_-.
/ ftCC Irt t~nd~ftr'orc —
f/(l V6) ( t+}2t:Zxt3 Co) 0 = (z~,,y, Cet 1+ tZ y)i
-x; / y ( i z, jon- i le cOc[onznee~-' Ji- P1oLL t den c rL~c-..
c-2TTmLAO,Le b-; prL 1pOLLRCaiL az aLeZjLe- lcl Z~npctc^rcyJOcL f u'ao(5) cixc>C + y CA 'f r y =Y Z PCJ +C c- +y+.
3.i, 11|, ' e~ coo' te6.te~c)
*n lC;a ioou dcotn C de zdzLa'en ce' Itefc Jl&rrz;lnt: Lion an A B-C.
/ cc B C: X xC co oL t y C + z (, Co d,
C(i) I ^cc CA: Y.= x C P / y,t+ co p =o,
</ \( ' Z (3)7 )
PI /eJ izanltrc" XI Y, Z e'Conf acppaccf- l\c coodorLToc_ UCGbzclic-re2 3 p1'3eCJiq<ezctL- dJi point 1K
oJ' i,, ' t ie n r t zw~Z aCOL-o 'Z ilnet coCn- ceC eJie ( Ti /zLac.LnJ.p tvI.ecc'rcn/.
| nLC Ij Loo'dtosI2nee cLarL'rjicraea J/.bcer2z.^^ c-', (3 57./ on. -z 'catcaoz2 -(3) X,+yc -=,L;
oIL a- lie rtecL, J cnreXl 5Y, % ~ Z L cLaLtor-L c ql i iZOc J azlozJ c.v'ccbel.'
l-'i / terz a-eJiartjn - pa.'c. A, CB.. /(J arnglic cibCh'iciC 'oe'cc.n^ oz,<a
/ - A c, e,,cd +., 3, c'o,+ <o. (, Co y.,
4 - Co B = C<r y c c + oL, C* ^ o,+ C2j I& o
- <^ C c " oi p A + G~ < i < A -h C < (+,
|,oLCo,;d2;,; P i y; y, Yt y,C/'tmirnznent iCJ pogi JecL cjanl, cercc/C BC,C A, AB; e4 noziO '.zpp7craeor/ ctze ce5,.ole /C otJ c'AJnt
&I apce&. /a. 'cejai. CorLtnzre-,va,'L!o cont4bttz tioa-T dal' kZinjfl^ p/?oCC:
y. iL OILnL( a =C O 13S <c - Co P Cas y: e 2 = c> y <_z -l /< y,, c t c = e olc^ 13 - Cq OL CWe A
Y2 P 1 b C

'? < a, =- C c y -1 <C'y J, = c y Cod -a Coyz C"y c C = aLt o ~ Co — 2oLzc p,C
c aC=ar, cn y _ t- C, o b2 Co oy,,oC - C-y Ccl oC, C~ co, Cc iI - Ce oL o PI j;
on. a4t11,erL. otzl'L:
(6) t.3;A = a a+t a4,,; 2B =2 kb~ +Lb,;C =. ~c-2 -
(C JL 7<IL e.o-zz /c,C.juaLtnozj (1) pa. cac'/o/LLe a- X yYx Z, onr toLVce, paerempL

I