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

378 (3) A-x+ + Ay2 + A"'z + c C. t =o. cr-nL L r,z a7r&t ie z -yx. cloCi dtlz en ern /ew p ct-i efctZc Z7ee c1 e7 J j aaZldej O-a', ca>.J. q Z. 'equltonr (3) ne cenzrcm ea W z- ue. dCe4 In4-iJL ce d c, el / 01 Jon Ce- Co1a-ile c a c/cme_ ej41 -: W(Ii) A2 + A.'yKt A"- "+~ D- o. C; C.: cT'. /Za "a, We! -W c-cecip'ctZzeznircr/:.if e/ zwatLcn-uz ita -Jt:CixAcce 7W e cr crzT-re.izc deJ pJLL/az~ceJ /caiceS 1c~1 C^af'ca^a^ ZoAbcoaz y/Jtzt7 A.c CooI7dlrmCeed -7ZonJ' ZTc)Zc pTla IZtJlme d aL t eaz ma. '"z ef, i e{7 ot2aL- T~e cner iT l-, p-ar POA cMe, q. e ke, nz e L X /e /c- d ntdccaU Ci de- e _, *pctVJC - cd3 cze < iz s caged pcv p caZl/ / ie'/e1 /aze aea x ~f 584); e/tgn'i.4I ithcl'. oneci.. C em-<VC-lt'e. efz, z 7oT-,icend-L -Y'o~enj^t Z zeati, T c — ( r) / L- twive-, (65 A.2+ ' JAiX/2 + -Dto; /c eii 1I/a-4/ {riei C7C /c-7 a c/ criL. dc) c J eai cci ac jeco, oJrWtcccc za7?yd 'ocec a.-z7i? iIR a co-nj7aj'c. ~ (/ (8 3); ccz/A I etzahoTLrt pe-ceZt e-nro're- ae Uza0i e a2e - '-CtCTW^Y CiLC^z. at, /c- a —2t- cY. c(0 e- W-. <-c'\ 'i le; COO' Tcort-C~o roar l -p w cIRlcCt ze. e< pP tX dTLt -i "r Ci uCl cC c jL CrtT_ i}u1 C tL1M - tl e a 't'fcc n c cu p C- - l, r', x, y, v'c e; - pcrj clC n, /e 3i / a-n Aia./ r ed ank Ipcndi/eem fi CL a ettaL rncrid a /me C aTrLa e iiWCC-c e -a xire cotnct~ec led lroicc p/a rz '-d co',c',rrm-eeJ avec. p an4 diatrruca-uca c z ecw a T! p, /1,Ula oTL (I) de t. sitVfc race - j wd"ca e zedivzced a. cI-fo/ crLe- ) () o', Xaz. u rL. lel ehac-L men i /a O ie e enei rch t -.2irczyaa tctz ': 7c' e' knie / e - I / -e 7)and c4 cojacenc.etme-JowL? pw /e/Lsc cz ce cM [66 don7 i zlCeoglzt~l-/iriz e neru yer; Jcmitcj z~clet qi e - ale Lcl uable. -V efcfci i enearl.: ' z ffc'iaLrs -. I u e L e te pctt 7e- 'G z Iecl-a Ao leT tarIa7J ^ e6 A ctrue d plarict a.e.- crdorlec-i vb C 'tca Iel YW ki _i ame co.... e/ c ~-T /5 Ao rr C re 1.i f weJf. Xe<^. x- -FYr, Ic JF, Ar ct, -z i cL ra0rfe 1 ecp aoe k pa.a cllele — 4 11~ '(^-^^t-L.LLCf? O,n.~r og rl-ev *liaXt eer TT___' 'nid... ' fa,~Z-'o.,>c atta. on-; ir=^,}e~Mdro ~Ce,^.p.FSt_ o_.p._- lda cait a_ 16C/tTtiL'c l RttiL ttc. lIeP iczon, cUe 'roK- dcot mccr ti - C c mtljtt' ~j '~-t1-1:L Li "pw -tr /.a /-, ~.i'e '.. e' ' '.: ' W / - ocr T, 4e. - Se;/ / ~/.'1.. C) K' %Ay q"Az+QJu I o; ic Aa, dzvcJ4ce,, CIZ< ) 5- oG<); Uii r7^ o ad/c, ' 'd. " /t aced p/a. le X.w.Iz e!-. x 0-yX Jci' e e17 dietct pat'Ch-e4 esales,ec co'clcc pa/at /7cel/eA a OX. t' Za ~ Jectzi' d.cc it e x/.ce.,,{c -trp-, e. e:xoy oi..o/a poz e.ccatr. -.A... A7+ i-..f. - B. y+ D,-. (6) A.,x + A ~ ~ ~~-y +2O ralz__.,J Tze, d-,.-,.~......-le------ a o "C~51 c.%. /~. J~4~o~...d~. 'A-A,./,_,p,./w:B~_.a.oo..=,_,,_q-.,.. JL O<c c. -y- ciorit ot'ctta^ citriebc ccriy3tte A d 0e-f cr -oozre- d~c.. ~o&- -,s enlec: e^tjaaIiortu.. (c^/c AZ>'A: + '-^A'-y2:+ A - + D,. ~.XOy,4) / o7t abtCs &w D t iabTjlo ed tU 't 6'J.o (lQ OtsAemcnr / *-foaY'7 A a/'.'tzr-rzEirchl ci-/.J1 L/:c?;/9ce 'n pcc'riZLv, laiuzi Ae p/aft cl! Tn(77bc^ictl,c0ylZc/d!t C ec C)A^ o cicdu

/ 961
Pages

Actions

file_download Download Options Download this page PDF - Pages 374-393 Image - Page 374 Plain Text - Page 374

About this Item

Title
Principes de la géométrie analytique. Géométrie de l'espace, par L. Painvin.
Author
Painvin, M. (Louis Felix), 1826-1875?
Canvas
Page 374
Publication
Douai,: Imp. A. Robaut,
1869-71.
Subject terms
Geometry, Analytic -- Solid

Technical Details

Link to this Item
https://name.umdl.umich.edu/abn6069.0001.001
Link to this scan
https://quod.lib.umich.edu/u/umhistmath/abn6069.0001.001/385

Rights and Permissions

The University of Michigan Library provides access to these materials for educational and research purposes. These materials are in the public domain in the United States. If you have questions about the collection, please contact Historical Mathematics Digital Collection Help at [email protected]. If you have concerns about the inclusion of an item in this collection, please contact Library Information Technology at [email protected].

DPLA Rights Statement: No Copyright - United States

Manifest
https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:abn6069.0001.001

Cite this Item

Full citation
"Principes de la géométrie analytique. Géométrie de l'espace, par L. Painvin." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abn6069.0001.001. University of Michigan Library Digital Collections. Accessed May 3, 2025.
Do you have questions about this content? Need to report a problem? Please contact us.