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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 71, page id 824573315:0155
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PROF. 30
DeSectionibus Conieis.
habee ad verumq; verricem propter axpliCacIONEM IN CCNErO,)
hoc eR, FF at nunguam cncurrene (propcer infinicam di-
tantiam suxpoliri puncti converlus F) adcoq; Eune paral-
Dela.
Pacet etiam, Intercepiom. diametrum F. A (inter applicarionis
CE. CR:: C A. CF.
punctum _ vercicem propiOrem)
iPSEUS COnFINUatONC AF (InCeF ver-
cicem illum e congenris cum dia-
metro concurtum) miroem esse.
Cum enim (C, FC. Ed =FC + E, B
:: EA. FF = F AF AF. Eric eciam
diridendo) EC. Ca:: F A. AF.
ACFC. minor est quam C a vel CA
(DArS COFO) erGO e P A minor
quam AF.
Scd _ C ponendo CA = 21 -- 5,
_CF = Z1 d = c, ideoq; LA = d
=S  6, _ F2, = - 1 - d - - 5 + c)
CF L FF-
Idm d= 5C
Et d
C
E
CF (= FF t BC, ) = =; hoc CA
Sed _ hinc docemur Rectam a F ducere quae Fllipsin in dato pAI.
Eto a centinpat. Nempe, ducta Ordinatim applicaca aR, BaC uE
EC ad Ea SIC EA ad EF. juncta enim Pa Ellipsin in a con.
Eingie.
Item, A dato esstra puncto P rectam ducere Fa quae PIlipsin contin-
eat. Nempe, juncta FC, e concinuata, (quae Elliph in A a pun-
etis OCCUEEAE,) uc habeatur F punctum in diametri Aa cunei-
mstione; Quoniam ek ( ue raodo dictum eAt) FC. Ca = CR
: F A. AP. IdCOG; FA. AC:: AB. F. C. Si diridatur AC in B,
sicur diridicur FC in A; Et ducatur Ordinacim applicara Pa;
recta Pa juncta FIliplin concingir.
Alialiceret hic Corollaria adjungere, qualia de Parabola
mnuimus prOP. 23. Sed ea breritaris erso omictenda judico.
aPo