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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 159, page id 1677894601:0339
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C159)
ctum D describet aliam sectionem Conicam per po-
lum A transeuntem.
3. At E sectio Conica quam punctum P perCUE-
rit transeat per neutrum polorum A, B, punctum
Ddescribet curram secundi vel tertui generis pun-
ctum duplex habentem. Et punctum illud duplex
in concursu crurum describentium, AD, BD in-
venietur ubi anouli BAP, ABP Amul cranelcunt.
Curra autem descripta secundi erit generis (I an-
suli BAD, ABD timul cranelcunt, alias erit ter-
tii generis ex alia duo habebit puncta duplicia in
polis A _ B.
Jam sectio Conica determinatur ex datis ejus
punetis quinq: ∞ per eadem sic delcribi potest. nicarum desch
Ventur ejus puncta quinq; A, B, C, D, F. Jun- tio per data quin-
santur eorum tria quaeris A, B, C. _ trianguli ABC que puncta.
potentur anguli duo quiris C. AB, C. B A circa Ver-
tices TUOS A _ B, _ ubi CruTUM AC BC intersectio
C. Successire applicatur ad puncta duo reliqua D, l
incidat interlectio crurum reliquorum AB _ BA
in puncta P e O. Rsatur _ infinite producatur
recta PO, _ anculi mobiles ita rotentur ut intei-
sectio crurum AB, BA percurrat rectam PO, X
crurum reliquorum intersectio C describet propol
tam sectionem Conicam per Pheorema primum.
Curvae omnes secundi generis punctum duplex cundigeneris past
habentes determinantur ex datis carum punctisctum duplex ha
bentium deserie
septem, quorum unum est punctum illud duplex, rio per data sep-
X tem puttm
XXXII.
dectionum Co.
ZXXIII.
Curvarum se