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

Jjct"eo,tC.. -',econrud oricbca- cLO-. t1Lca px'C 'Lcpp oct,X tLL. teLtac az c...c
4lUrl t Lec c - dlA calyTuLqb p~cr 'cdppcf.t aLZeC itZ'c/ce -it,ecorzJ o-rdce, lrcq-c1, paac wjr7/ppol' ^- YIcef
riragce^ZUTL 7IZ /cZii ciLLLe d eCJ Jor77rrnTZc eJ Ie pc de a-e I a,? aice- Op-Jee —. cLi, AiJ)
~|-tLic > L tcfc d c. dL- cori d oi a rc.c C yIWji^t.iXujC,pa'c a 'a rd, fd. a Izrzi- iZaedc-.,' i?' oLcj c /e^ c/e- t ' e e elk e coCac- tC; L — ci
pp/ 'cl C L cce:f. -rf ce...
r I
sfe;<?ini A ( O=<3 Z T, =,o } To o a- poz'c ptrL 1 -ccZ-, d cz;vce I 7aerLaL (2 f e-6):
fX =oz zIL- a X -aY+b~ rc'=o(
-Ta.7 oa eioc y p c'ir-ire -a ~eejL c- 7z- ecce- cB - C pa~ r 4ije1
cc') QaeJ'-o, o /caYt oe.ccp4< c ac/tccB /X- _Oc J Zc =e ~J T(c rf~) / _- ppfclY! p7cZ. Auoi~:,i,.
7=o, A;. o T a a+/ cT = -O
(cx-o, OZ ax +d';+a"+c=o;
i/e leZ tJodi se. corLfj-Zl e jc 'c A - ce A&-D; ca-. ACTt1e a
(.~ ) a' -o,:b' _, '.
e poiZnt C (X, =o, YO= o, =O), 7. pmoS.. I- o,-. oe.:
1/x + X"'Y-i+ c- + allT a,'
onm e. iL iJe. confo nd./ r aCzp.- AP T rz- e t c-a oncZc zt
(3) a'' a"
(eJ condLiihoiLOi eizait~ 'empTipz'c, Z c-JommrrteL T) 'e -ra n zec oaumier-u- e F1 pol de l ac- A B C
(liorzwVL 1l-r t ~tZt- at7 0 f crv ^cc r -Lb - L4Lcc it Cc <Tc-JL o'cdicc-^ COc T wAL 5 L r^- p c41>pj —Cp t -p tITu — itcaeU,e<
$^tXc- (jr7cs poout ~e'/cac~ e-c-c ec Ccrjc-t net) e/
(I) a XL.Y-tZ C 2_o;
F Iei ot0 n,- tc, ot. zMr rl'5+ct p++"'" =oae'.
CALL| ' -9LC 'CctACfl 6c-:)trC, 52c a4.) e-.cc4x — p COC- 4 ag *ccp-Gt catn alUtv (J- -xK
clm.m.;Z Jc{?TzL.<C Cen ^rzc^/-posAO'zC- -L ( l_ \ra '<S: trn )
I Ac onu le /, '^temievet Lce'Aae.i'-e "pourt Ze i'ce} dec YCAXccrlcea- - / Zey'u1 alrZ t2 c/ -. o t outliU / kr~c ar-3.
0(1 ) a- X-+:b Y c Z+ a T~=!o,
A, L, a, `a, ct-Z^a dez7 ' e col zALrmt do-rrZeea.,
X it A ', C1 P,, fec72l 1- 'el'c^, ^ (1 / Y, 7J, T,), (X2. w2 / le- T ) e (i Z }! s I I ) Z T I 4
Idoarnee, necrpcc-7dJe. -..~i" 2orm 42.. 6 e/uS Ch, ecihd na Zoc' corc'lorcl.&OTcdtiTC pozzvc — ucze- c-c-..c-oni tc-/lYae'lr ce -2o c lryZawfc rt_ AIcapp*of a, Zr J1LC9Cc- (!)ro/ are A —lo ue LPe- A ec.ut7dr. (412j:
a X+ -,+L. -Y + CZ17A + T, To
tiifauticp'-iLrnec /ic-/efiJ 3 c-n-ic-u-c-cb )'B,r C, 3) d~o,-it r -ci c aici ri —e Ot-zn A n~ / - c-tZca - r -,oz eL A,*(AfT —2..p,,t 'Z B;e 'Zc.... L fiorcz. a,.i f t ie. tr'-t.dcb -A,'B eC, D, _- cojtjui T par- 'cap por -L u4' (, ) lcd -tX- czccut l qo.mL alfc-t! 7at7'g' 31 Cf'c a_'gk~zvfg ara~i,?~e,Ze Le'.rn flf z~l 3>Cl D C~i cON'rt3 t p t Ca — o ' z - zYe.c(I ), /7Co 1'- <foUanetl-lu3~ltl e

oi orJ 'ccV-c-np/.....a,X,YX + h CY, j CZZ + Z + A T, T =,
a 1 3 CY,+ 22 - T T3 _ O
a LXXs, + b Y,,'eC Z + Z l T, T, - o,,
A 7xs,4 + -b -Yi-c z 4C+ Z 1 T T4 a-,
\ a XzX + C ZzZz + d T3T4- = o