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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
# Folio 74, page id 824573315:0158
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De Sectionibus Conicis.
DROP. 3F
Ideog: Cmering. milciplicondo per 02  de dividendo
Per 12) q2 2  2 192 2  + 207 doecg -- 62 1 = X2 ma 6, dX 9 
207 daey t ss lX =. PC (d l ndlo nering + 52dXcq, e CraNS
DOnCntC) 2 = G f5 d ∞g - - 02 212 2 2, E t sE l_ = PF
(9114 52g dC, D et G ~3) 92 2 +5 dxg  dE  X 
SGu_ 2. F.F (etividendo verI; Der dx + 1 - 4 12) 0
lae
sE. Hoc Ct 2 = g. Oonteac ersse proposicum.
IUnd Sgraherice sic demastrarus. C repecirie anaty leos vestioiis.)
AB SiltipeoS cencro e duencur recta Ca, acg. F. Iliptin in puncto
a concineat recta at diamecro crilibet C. A occurrens In P;
ipliq. Paallela quae libet OC rectX C a Cimera RILi p(in) OC-
CHErENA In C, dIAMCCRCQS C A in (3: DIAMEErO aUEeM C A
ordinacim applicerur at, eiq; parallela cC, diametro oc.
currens in C. F. _demq5 anEanE Cyhola quX PTiUS e, d, 1, X
138, 6, E. 3.
Sumancur aurem in diamecro vrrinq; a paneto e aequales
rect cD -V SEdX
2; ACq; OrcIMALI- PONANCUE DO, DO, rC-
EEx OO occurrentes in O O. Adeoq; BisECAntUE eam DD
in c (per constructionem) quim. OO (proprer paralselas)
IN E.
Dico rectam illam guamlibee OO (a recta Ca bilectam in
E) EIlipsi inscripcam esse; hoc estpuncta OO esse in peri
mecro. Ouod Hcprobatur.
Ouoniam Tunc (ut in AnulyE demonstraritmus) P. F = dx,
6-
cD)
vdx eR - at = e ca = x  =: FrIC DC (= eC +
66
2dae
∞c
= X - 51
+ YSEdXe
 de D 2 = d, dC + V SEdu, e DA
SE acque horum rectangulum DA , Da -
s daet sE. = SESXL 27c~ SZdX
IyE, Tubsticuendo VsEdn
B
(nempe, PrOG e g in ana-
SX IX
=.) vel (qu120 = sE =