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

68 1,e (Ytrcf: oal. Jlozu LpozWonz 4L jzz te. %L/L2 /CTrlnie (I) E~5 7pi'eyceLeTnmnciZ/. a ]~ 1 L-,1( a (_n_______92)__? ^'eV ^ - ' w V S-^-M S y " V-H.(3) -=p? y,%q:, z,-o Ce ponzites- ef irmerznrze Jitd-Lc dci'Coi/Z dnne~.. Julouorn rrmi/rlernntL J1 talezri (2) e (3 ) azrua~rmztL (I) za c)-. +11, 9i'.icn. (x a _:~, ), +y_ p ),+ _, _ * a, _.))) (TII3...-..; /iv et,/ Icanrev e- a. LJ lt Lp oimd- (.) x.. J7/1enoTL paa'co/et-,Ozt (x1 y,, Z1) zan plaL per enrziLtilazZ'aI/ diLcodte (i), /e4dia-lzon ie rcc pAln JfercJ7 ~ J9s) (4. ) ^a f-.r) +-b,cy-y ),+( -, =. POzvc obtenzc- La diflance MP X z'2-, eL llttoca deb'ermit ec le coor lonrrcw c d pane- d fk'zte-I.eo duap(,_ 4a ),'z tc/ia drote (I) / e-1e/ rcezrzjp7aceKr /1cv le4j Vailemw ow (ees daru /ai /urml z/c cr~~ ) ",, (c) (x —x)-ca (z-Zi) > —c4-azp, (7) (Y-y)-C b1 (Z-,) — l,+ t z1g:y. 7Jii'azt mrairik7 na-rz< 4'e tu.x, ke eaua~ano ifl),;jr) e C7, ue ^ffi'ence (- x) (fy- y. ), (U - rz1, e6tt-fZ2 -cUa-^"o:z' C'), (5), (6 ), r7 '. C- z/ 0oIz. p/uI Vff /zCi'CC ce - Je' imrp/emrime7 ce/.t e/rehninaLZoize- - en ceane fe c plelW a m' e- /arznk. Z riirz /oZarnwz z- rc- cLrrLan orLz - ce6.ai ^ro (6 ) ea ' 7), /79 e-n ZL t;i2r ' L7'renieere pae b, itZ n/ erpnidcapr ^ a, 'cen re/Laralzcfan-d, c.a.Cd. en aeozizTnbiZll-.d erzIezCre (z-z1) par ze, de. reazzdit2tio, on-ico2Lfa' aw -: (a+~t4-+1) f @-r,)et (jyr-y) + (z-z1))J =,-az,-P)% t(yibr-, c)L -p) (Y. doLi-oln icrUtclZzcL euz-eqa'a4 a^ lace/dherL (5: Auc-c-) X 9 a-z,- 1P?) + ey,- bz, -q ) +lC e (y~, {) e i (1 ) 0c {irZorIZL na o uvzec. e a act i.-a' lcetmzmt c.i e rzt uIT m ieza/k aL Iae. i oT'Teo de r rcon catrred /: L~ e d 2 -erret-mfl —C~..''ce tyj /7A alazz'Wau-ca mez(8)i,-io4c.c ~ C0~)oL4 ~e//l~ ~eyoiaieYt2 i / -rfit e lprerrz^tu n emzlreo d~d e.i.4or t_ Cie d - dcozire) od- or coeecelnb e c egr ortek 2e re tijZ b iuue ie bczo Jicn z ca4rwce merrlty d elie ri ai /o d C i- /aroie-d ce"on n'c. coe 'eLe.r~ riozid Zinzteazne. c a -. ert irL/ Actrs d l- /aI /nLcdto~ruL'Pc o le coJeicrtL deZ Wazl Jela - e orzc, e Se,' Ipa-7e oe._tcer l dez lan. l,'r-, CpI e-L Z 'a] er reca ih d opczicA ledp Zib ain oZ' oA ruiC-. Dar c rTrU ow rjtaeari/ce, o Zei coo0 Jrn rzne- x yz, p a leJ co o-o rneen -. x, y, d ip r'/dzn a,

/ 961
Pages

Actions

file_download Download Options Download this page PDF - Pages 54-73 Image - Page 54 Plain Text - Page 54

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 54
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/abn6069.0001.001/75

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 4, 2025.
Do you have questions about this content? Need to report a problem? Please contact us.