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

22 7

|s) 1 h f i(X,Y,Z,T)+....+ i t R - ('I + tf + Z f +T + k f (x Yo, o)=<
| ' ectatiio (3) (.t(Tmi.nTrEZ, n - ia|ci-d Jiret- eC tc iw w pa7-ct- t~ ei lea. rnmztl a (1~9) ~ / cood-loinenect c de L mea n n b d cL l nIn-9rc_ C 7ut.L. * e PC4Om en.L&.L -ic il dcr - ef i IM, I -f
(-xu c -fc Ze^ IjU -i / u ato (3) Ia -Iie- fccI n.ll-.l h =o, c.1. c,. l J ol.: (-3t c-t Mrvi-. Jst;uce_
(2Q) X _xYf.Zf'-' + T' ~ q -
/| sjllaUdfi (3) c-tia - t n-tc_ L ciLf1a tztlMe, c- G. at --- d U ' aecorJL-6poimnLIn c /. Ia-.acfce_- vicai'i-cd- *c carn/2i' ce.e LIa. ie pOi TAI-o; cna'asct' eat'
I in-t poin t Caj tteuoir ctjzc. I In7t 7lfeLon.cLt/ def cieorS e a n dnoeta I Ll- s-a.jI yen/aeSa/re a>Itt. itLs fr c-.o;,h'a-op - ccTia.tLsOri LL 7cMC10 Tc7i cjc'< e — '
catJ,,cyn icn, /. is-e /iI Ic ccfi fanjeLc OI L L- plaurLe / IaarLe t.TC-.riu, IL s - - U?- _ L.=-0 Zo T'o I
*C-i~iVL-, t ccqtti oWl. p L l54rrL o' rfm Lct'ulJtts. LtA-t fLMC& () LX ~ l Zl To ) r'f'c
(2) Xf' Yf' +zf' Tf+ T-,
aiec Li. c.onLilimn-, ~(^ f(,-,,YO,,, d /,,,- t._T./ p,~ ~.,)=,, o./ /
T1 fi ~ <apt riucZc ir^f^ Oux tjn. C UolIUi pcuct6ow ~L1
363. ||J>,,l rt.. 'ce-l.taiL.. (-2-), orL fal. /. lcr,,c. LLL k."- ' lc dIt/e, il,, [.( 3) /tY. '..urt-,a p.eIJ+. - on IrTo
IX -C" ~ Y~'" z2f" ~~ t"~ + X ' +2x z f' " ~
+iXTf Y YT i + 2YZ y f +2YT 2ZT
X 0- T0 y ZY,, -y- r0 JL,,
e aI c -,a/:n. (3):,,'_.. alo' btiotd '., c-.e. i n.tUc1 1, c. a;.d.,e-c. 'Loi poinb ti.c/.z-.ont;. c,;,,i/, Le e-'e,,c a e /,-Lr-,,c M; en.Ia L/ i-Cc, eInrLtce.;
1ti L IJ e/l 4 Jc.ILf[Lt ' eco 1 f^7 r'~tZ fLa etJ aSl/-Yont a L /Zj/ rao au' tc- eiz ntacti, (t)t ) el- C (5) ' t-eeonbLC /cxori/'Pd L/ (oxS.ace {i7-c /~'.o 'pasif- cict.i- -
sI caI a >QeeI C- fa s rL;t XL- /a tinjent o iOJ. cs-cc leo 73 ] ao Jtd i jk
(| n cosLcate., an CriliLS /zC t. e L- Lip i.c a.n.tiI- 'cc/Ldt n* --- (5) L < L ([ 8 / ue- l.. (w) t'ii Lit ott ue -i L J o3Itd- dIet (5e
a. t,, pi (Iin ) As-ztLcftaf t In. cr-L/c-c (S)3 /5} c j l -aeLp_-f ac- -cite-/ -is a r-! Zdeu-X e. auiO Jonto i Lyai7-aonatIc lei.asi-etritxes PI
ii- * sauotnL 7M10 ie-ca- L. p.0rL pwX*Ca{at —ll pari? \ e A ] 519) Ji Ie /p3^/n — /iaa;erfl- co-pC - L cn- aac~- (5) ici-fr/ia LitQ) niUr....c-c -.' - n.i
denlcri/, c-/a. ji rcel ^/i- > /ice- (5) cat ir —. cane- }oI~ 3563. (icprs-can- Lon c it la. im/7/ec. (59 eci rzn carte nts- Sc U. l.'atL-. eizs?
a- p:Ljonf' la-l. telaion. yc-il eca cl'rn oantce_- aplif /i' t,, - J5743 et ) ) et e uCL - -armt p CLcLrL e i IdLeo 0
f XY X7. x'
L" -f' fY -T
(:/)^ Ir YX "-y^ -yI YT
' f" f" f"
TX TY TZ7 Tr
( (x,Y, Z,T) =;
| aJ d^t, tfqtturx efo) el (7),uccIe-ra t,u1n pCci,p6g-r'iuC J^ 6~- atLrcG- ()
s'a-;r^<t fua0/OIL nf ce-i e I C. / l- i'/^ct cse - - LC nse- j cn. C-. 'CmcILa'Stt - ennf, sitL-n eatc. cP fon.cLL p (rX,-Y, 7r, Y,

Ill~ ^Otzi~c~c be{c Adc Orttlixct rcv CA-rtc-' cUCco n-c/- cAL
36g:. | jo;nt X0, Y0, Z0, r a,,,C o'ccCs.'nLe C ci,~ -eona, neltidz- c-an; d-X, -Y., Zn, T,, ce.Y/c.,9,. pt.!J/ cIa/ns.- I',i(-td,-;- 4::
l 7Ia iti-'faccL i ^sC- /paz /L.aueiTine-e!; / eqaicrc i L- A/L- be- /fjian- ti. ' ~cs-Je w C} I f 23
x~. +, + T.
Y, T,,