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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 13, page id 824573315:0097
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EROP. S.
DeSectionibus Conieis.
deseribet: Oux eR Apollonii conkructio Coni. Comne ipieve
a nobis Formacus idem eAt cum Apollonii Ciono: Quod crat
octendendum.
Acq; hinc eciam sequitur, A vertice ad quodvis superficiei Conica
punctum rectam duet posse.
Recordandum incerim eAt, (quod Cupra univerlalicer mo
Buimus) sicue lineis crianguli, ita planis Coni, aligualem
cralticiem concedendam eAe, quanta nempe eA _ alcicudinis
Coni: rel, quod idem est, Circulorum appellatione, cotin-
drulos numero infinicos, canex quidem alcicudinis, Tuper cir-
culis illis consicuros incelligendos esse; qui igitur Colidum ex
intinicis exlindrulis cono vel inscripcum vel circumscriocum
supponuntur consticuere; quod Colidum idem este cum cono,
eodem areumenco concludicur quo uli lumus de Friangulo,
PFOD. 2.
Coniaucem Altitudo, menluracur perpendiculo a V’erriccad
planum Basis demilso; adeoq; eadem eA cum alcicudine Frian-
sulis E circuli Ene triangulo recti, (eric enim perpendiculum
illud in ipCorrianguli plano, adeoq; iptua cciam bas, Calcem
Producta, perpendicularis, ejus alcicudinem metiens;) sin se-
cuo, minor erii; cune enim perpendiculum ad balin crianguli
demissum, erit ad Coni balin obliguum, adcoq; majus perpen-
diculo alcicudinem Coni merience.
Nocandum tamen insuper eAt, Conum Formari posse, non
modoh expolici Trianguli recta parallelae, sinc circulorum
Diametri, verum etiam h circulis (vel quidem similibus EHlip.
Sibus) alio quoris modo similicer apcenEuT; (quod,  OpuS HE.
Facile est demonstracu; nonnurem obicer cancum monemus:)
Verum, eo catu, Triangulum illud non necelsario per Axem
Coniincedet, neqi ca omnia conseguentur Cymptomara qua
hinc dependent.
Si vero, pro Circulis, subsicuantur coridem Figurx rectili.
mex, (aliaere vel currilinea vel mitta, praeter circulos de FIlip-
(C8,) non quitem Conus, Ccd Calcem Prramis cmerset: C ut &
caomnia facile accommodari possune (mucaris mucondis) qua
de C ono (hoc ek; Pyramide rorndi) diximus. Pyramidis
aurem nomen hic laciori sensu accipiendum rolo, quam ue folis
heuris rectilincas bases habentibus conreniar; ita nempe ucba
los planas quascung; admitca, (hicur_ de Prilmace lupra di-
ctum