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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 158, page id 1677894601:0338
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=338
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.95
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L158.
plasam cruris alicujus infiniti tendentes Curram
in unico tantum puncto lecant (ut fit in ordinatis
Parabolae Cartelianae et Parabolae cubicae, nec non in
rectis AbIcisae Iyperbolismorum LIyberbolae _ Para-
bolae parallelis) concipiendum est quod rectae illae
per alia duo Curva puncta ad infinitam distan.
tiam lita (ut ita dicam) transeunt. Hlujusmodi
intersectiones duas coincidentes Eire ad finitam
Cint distantiam Cire ad infinitam, vocabiimus pun-
ctum duplex. Currae autem quae habent pun-
ctum duplex describi postunt per sequentia Theo-
remata.
T. Si anguli duo magnitudine dati PAD, PBD circa
scriptione orga- Polo5 Positione datos A, B rotentur, _ eorum crura
AP, BP concursu suo P percurrant lineam rectam;
crura duo reliqua AD, BD concursu suo D descri-
bent sectionem Conicam per polos A, B transeun.
tem: praeterquam ubi linea illa recta transit per po-
lorum alterutrum A vel B, vel anguli BAD, ABD
Timul cranescunt, quibus in casibus punctum D de-
Feribet lineam rectam.
2. Si Crura prima AP, BP concurTU CUO P
percurrant sectionem Conicam per polum alter-
utrum A transeuntem, crura duo reliqua AD, BD
concursu suo D describent Curram secundi gene
ris per polum alterum B transeuntem _ pun-
ctum duplex habentem in polo primo A per quem
sectio Conica transit: praeterquam ubi anguli
BAD, ABD cmul eranescunE, quo casu pun-
ctum
XXX
Theoremata de
Curvarum de-
nica