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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)
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DeSectionibus Conicisa
PROD. ZXX II.
ffectiones Gcometricae.
T9; ex dictis latis intelligere licet Geometricam
L Problematum eAectionem. Puta,
Fllipseos Diametrum invenire. Oux enim duas quastibet in.
Ecripcas parallelas Bisccat est diamerer.
Ellipseos Cenrum invenire. Nempe in duarum quarunslibee
diamecrorum concurtu.
FIpseos diamerrum invenire, quae per datum puncturs transeat. Re-
etam nempe, quae dacum punctum e cenerum conjunsica
Data in Ellipsi diametro qualibet, diametrum conjugatam invenire.
Vel generalicer.
Dara inscripra qualibet, diametrum: invenire cui illa ordinatim. poni-
sir. Nempe rectam quae dacam inscripeam aliamq; ips parat-
delam bilecar: Vel (A diameter non (ic) quae iptius punctum
medium, et Ellipleos cenerum conjungic.
Datae Fllipseos Axes invenire. Nempe delcribatur Peripheria
Filliph concenerica, ipsamq; Talcem in binis punctis (ecans: Re-
ctam enim bina puncta proxima conjuneencem quae bilccae
recta, est Axium alcer; reliquusq; eA huic coniugacus.
NOca tamen; In circulo omnes Diamerros Axes esse, e quidem a
quales; ex conjucatas ipsius diametros omnes esse conjuraios AXeS. In a-
Diis aurem Ellipsibus quibusou, non nisi duos Axes reperiri; eosa C oniu-
eatos, sed es inaequales; e quidem conjucararum. diamctrorum omnium
maximo inaequales; quare es Diamersi- Pxrremx dici solent: Sicut c
contra, Diamecros. Medias dicere licer, quae sune conjueatae aequoles.
Datae Ellipseosordinarim. pplicatas (positione) invenire, quae datae ip.
S:u diametro conveninnt. Invenca nempe Diamerro conjusdca,
qua huic ae quieistant rectae Cunc diametro daca ordinacim. Do-
FICX.
Ellipsin ad daram diametrum es datum laens rectum describere, quae
datum habeat inclinationis avenlum. Nempe inveneis (magnicudi-
ne) ad quortibet diameeri puncta Ordinarim. applicacis, (per
PrOP. 28.) axplicentur ad lua respectire puncta in angulo impe-
raLC