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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 75, page id 824573315:0159
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PROF. 31.
DeSectionibus Conicis.
 per Be2) eric DA =D  - 2  + NE   22 ~ siEdae.
Tum (proprer similia rrians ula) erie P. F Pa:: DC. DO.
Hoc est 
= 34∞ +  Y S E ln 3d = C N SE p X
odx
cDO. cjulq.
quadracum 2 d x F s E dx c = 27 d 3c V sE dx
 datsE +27 VSEsa
0ux
DC
1
X
Sed e cantundem est quadracum Ordinacim. applicaex pun-
A0D. Nam (proDcCE EllipIm) uE RECTANBCIUM FA , F 2, ac
rectangulum DA- D2: SIC (F ~9) quadracum Corcinacim. appli-
ex inF, ad guadeacum ordinacim applicaex in puncto D. hoc
CA dX 3 2+st
+2qcNSEd
 V dx +Se
2 + 27 ~SE X
dx
quod isicur est quadratum ordinatim applicaCA DunctO D,
eHgi (uc modo odensum cA) iptum DO9.
EFPEOPTErCA DO, DO, CquE, ex
conttiuctione, sune punctis DDO-
dinacim. DotIx) et Oedinacim-
explicatis aequalia, adcoq: puncta
OO, Tunc in perimetro; rectaque OO
est Flliph inlcripra: led & illa (eiq3
Parallelo, eodem raciore,) a recta
C Bilecacur, adeoq. ordinacim in-
Cccipia cA, cjuisq; temillis 1O di-
ameero aC ordinacim applicaca.
Oiod crac demonstrancium.
Rorancum sutm cA (tam
quoad analrum quam Sgnche-
tin) fieri qu’nd. que passe Ca-
bi recta 90 lengius obcst a can-
en