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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 93, page id 824573315:0177
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DeSectionibus Conicis.
Vd + 5C2  37CN SC 12.
cim. applicatX puncto D. Hoc CA, d2. 3
3 2Y siC  + 27 V sitd
642
ut modo octendimus.
B2 quod aequa le est ipsi DC
REDTOPLCTCA D, DO, Cquae ex constructione, BCUE pun-
atis D D ordinacim Policx,) sunc e ordinarim applicaris a
quales, adeoq. puncta OO sune in Foperbola curva, rectaqu
OO est Hyperbola inscripta. Sed _ illa (eiq. Pacallelae, ca-
demratione,) a recta C an bilecatur; adcoq. ordinaeim. In.
Ccripea elt cjusq. Pemillis nO diamecro Can Ordinacim. apeII.
coca. Ouod erat dem. nArandum.
Nocandum aucem est (quod ex prius monui) heri qnidem
polle ucinlcripca OO diamerrum cranseac in G inera pora-
bolam. Ouod eamen operationis progressum non alicer im
mucabic quam variando nonnunquam signa F  aut quaniis
cacem negacire incerpretandam exhibendo. UC experienci pa-
cebic.
Recta outem illa a C quam FIy perbolae Diametrum esse ostendimus.
eisdom opposciis. FI) Perbolis convenii quibus e AC: ipsaq. aC duplica-
la erit carundem Dramerer. transversa. Sumacur enim in oppolia
Hypertiola ad - AH, hoc eA Cd CH, _ ordinacim appli-
CetUE (SIEU contrariO) d0, qux cric ipli Ha _ qualis e parolle-
Ia (propeer equales diametros incerceptas, eandam cransver-
lam, idem lacus rectum, acq; situm parallelum, per proD. 3 +.)
adoog. anguli alcerni requales, nempe Cdo-- CDa; _ PFODO
terca (juncta oC) criansula CDo. Cdo, similia de aequalia;
idc 0q. CProprer ansul05 ∞7 noevolud ad C aquales) cric aC0
una recta; acq; illa quidem in C bisecta; quae isitue cum ad
Oppolitas Arperbolas cerminetur, eric illarum crantverla. diz-
merer, ejulq. medium punetum Ccarundem centrum.
Unde ectam liquer, Hyperbela Diametros omnes in eodem commu-
nI CentrO COnVeNIrE.
Scd _ea omnia Corollaria (WIIEIMIO CKCCDEO) quae ad peOV.
31. de Ellipli memorancur, sildem Fere verbis criam HyPei
BOla CONVEHIUNE. CLENOn SIEOPAS CAFCDCTErE.
DROP.