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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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De Sectionibu Conicis.
PROPIs
aquale baso in semissem altitudinis ductae; hoc est, Se-
missis Prismatis (uc parallelogrammi Priangulum,)
super eadem basi aeque- alti.
Estenim (ex dictis) Ppramidoides Parabolicum
(ub
quo _Conoides comprehendo) Asoreparum planorum.
limilium numero infinitorum Arichmetice proportio-
natium (ab 0 continue progrediendo,) circa cundem
arem rectilincum ordinacim politorum; quorum
quidem lingulorum crastuies supponitur aequalis o al-
cicudinis torius figure Colide.
Oux lupra PrOP. 5, 6. De Ppramide _ Cono, conumq:e al-
cicudinibus, exibus, planisq; ordinacim applicacis; item de
Prramidibus Conilqs rectis, scalenis, luxacis, _c. dicta luncs
eadem tere Pyramidoidibus et Conoidibus accommodanda
Fune.
Fgorerohane Conoidis, adeoq; _ Pyramidoidis) Para
bolici Formationem pocius adhibeo, quam quae a receribus a-
Luilg; adhiberi Colica est, (nempe, circumducta Semi-parabola
recta, manence AXC;) quoniam ea Formatio non omnibus Co-
noidibus (led Polummodo rectis) nec Pyramidoidibus omni
noconrenit. Acq; hoc eadem ratione Facio, qua Apollonius
Luclideam Coni Formarionem, (circumducto nempe Prian-
sulo reccansulo, manence lacerum circa angulum rectum alcer-
utrO,) in aliam commucarie (circumduetâ nempe per circul
Deripheriam linea recta, manente iplius uno aliquo puncto ex-
era circuliplanum exlistente:) quia scilicer Fuclidea icta Colis
Conisrectis conveniebat, haec autem quibusris sive rectis sire
Ccalenis. Nonigitur mirari debee quilpiam, E proucille Pu-
clideam C oni sc ego Archimedeam Conoideoe Formationem
specialem, in aliam maxis univertalem, COMUTaVCTO: quXe.
eiam e Pgramidoidibus aliis (de quibus nulla hactenus, quan-
cun lcio, consideratio habira fuic) paricer conrentat.
Ouxe aurem, de Conoidibus et Ppramidoidibus Parabolicis
Formandis, jam diximue; caden de Ellipricis et Hyperbolicis
deinceps incelligenda erunt.