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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 141, page id 1677894601:0321
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=321
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C24I
Hyperbola primi generis duas Asymptotos, ca P2
Cundi tres, ea tertis quatuor ex non plures habere DO. earum propricta
test, e sic in reliquis. Et quemadmodum partestes.
lineae cujulris rectae inter Fyperbolam Conicam ∞
duas ejus AEymptotos lunt hinc inde aequales: sic in
Ayperbolis secundi generis l ducatur recta quaeris
lecans tam Curvam quam tres ejus ACymptotos in
Tribus punctis, Tumma duarum partium iltius recta
quae a duobus quibutris ACymptotis in eandem pla-
sam ad duo puncta Currae extenduntur aequalis erit
Parti tertiae quae a tertia ACymptoto in plasam con-
crariam ad tertium Curvae punctum extenditur.
Fit quemadmodum in Conicis sectionibus non Pa-
rabolicis quadratum Ordinatim applicatae, hoc et, eran versa.
rectansulum Ordinatarum quae ad contrarias par-
tes Diametri ducuntur, est ad rectangulum partium
Diametri quae ad Vertices Fllipseos vel Llyperbola
terminantur, ut data quaedam linea quae dicitur Latus
rectum, ad partem diametri quae inter Vertices jacet
_ dicitur Latus transver sum: sic in Curris non P’ara-
bolicis secundi generis Parallelepipedum (ub tribus
Ordinatim applicatis est ad Parallelepipedum (ub par-
tibus Diametri ad Ordinatas etres Verticesfigurae ab.
Ccistis, in ratione quadam data: in qua ratione ( (u-
mantur tres rectae ad tres partes diametri inter ver-
tices fsurae litas singula ad lingulas, tunc illae tres
rectae dici postunt Latera recta trgurae, _ illae partes
Diametri inter Vertices Latera transversa. L.F sicut
in Parabola Conica quae ad unam ex eandem diame
trum unicum tantum habet Verticem, rectangutum
CubOrdinatis aequatur rectangulo sub parte Diametri
quae ad Ordinatas et Verticem abscinditur de recta
quadam
Asymptoti C
Latera recta e.