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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 65, page id 824573315:0149
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PR OP. 28.
De Sectionibus Conicis.
Et proprerea, Distancia puncti applicarionis a C en-
ErO, C= V: Z+2 c2.
Patet etiam; TIE Diameter-tranfverla ad Diame-
erum interceptam, sic esse Rectangula quae diximus
Majora (diametris intercepeis proportionalia) ad RC-
ctangula quae diximus Minora (carum quadratis pro-
portionalia,) nemDe, 1. d:: ld. = d2.
rrem; UIEDiameter- tran(versa ad Latus. rectum, sic
quadrata Diametrorum interceptarum ad Rectangu-
la Minora, (quadratis illis proporcionalia:  Nempe
T. t: : d2: = d2.
Irem; UlcDiameter-tranlverta, ad incerceptam; (IC
tranlverlae residuum, ad quartam; quae, ducta in P a-
tus rectum, Rectangulum efticit aequale Muadrato
Ordinaeim applicacae. Nempe F. d: : F. d.  d
1d - d2
et d  d2 1 = e2.
Ttem; UE Diameter-transverla, 2d Lacus-rectum;
sc Rectangulum segmentorum transverle, ad ma-
dratum Ordinatim. applicatE. Nempe t. l: : td - d2.
1d - d2
e
reli UE Rectangulum Segmentorum Diametri.
trantverse, ad Cuadratum Ordinatim applicate: SiC
esle Diametrum transversam ad Latus. Rcetum. (IIN.
de cujullibet ellipleos Latus. Rectum commoderepe-
ritur.) Nempe 1d d2. C2: : F. l
Id -- u 1
Inde segnitur; Ouadrata Ordinatim applicatarum
esse Rectangulis Termentorum Diometri transverle
Proportionalia. Sunt enim ubiq; ut lad t.
adeoque. Omnium ad candem Diametrum-applica-
tarum, eam esse maxiniam que diametrieranverle
puncto