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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 142, page id 1677894601:0322
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=322
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I142
quadam data quae Latus rectum dicitur, sic in Curris
decundi generis quae non nili duos habent Vertices ad
eandem Diametrum, Parallelepipedum sub Ordinatis
tribus aequatur Parallelepipedo lub duabus partibus
Diametri ad Ordinatas ex Vertices illos duos abscissis,
_ recta quadam data quae proinde Latus rectum
dici potest.
Deniq; sicut in Conicis sectionibus ubi duxe paral
num sub Paralle. elae ad Curram utrinq; terminatae secantur a dua-
jarum sermentis. bus parallelis ad Curvam utrinq; terminatis, prima
a tertia e secunda a quarta, rectanculum partium
primae est ad rectangulum partium tertiae ut rectan-
sulum partium secundae ad rectangulum partium
quartae: Sic ubi quatuor tales rectae occurrunt Curra
secundi generis singulae in tribus punctis, parallele.
pipedum partium primae rectae erit ad parallelepide.
dum partium tertiae, ut parallelepipedum partium
secundae ad parallelepipedum partium quartie.
Currarum secundi _ superiorum generum aeque
bolica e Parabo. C9; primi crura omnia in infinitum progredientia
licac eorum pla Del Fyperbolici (unt generis vel Parabolici. Crus FIy
perbolicum voco quod ad ACymptoton aliquam in in-
tinitum appropinquat, Parabolicum quod Asymptoto
destituitur. Haec crura ex tansentibus optime dig
nOICUntuT. Nam E punctum contactus in infinitum
abeat tangens cruris Lrperbolici cum AIymPEOtO
coincidet d tangens cruris Parabolici in infinitum
recedet, eranescet e nullibi reverietur. Invenitur
iditur ACymptotos cruris cujulris quaerendo tangen-
tem cruris illius ad punctum intinite dictans. Plaga
autem cruris intiniti inrenitur quaerendo positionem
rectae cujutris quae tansenti parallela est ubi pun-
etum
Rario contento-
Crura Eper-