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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 55, page id 824573315:0267
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PrOD. 69.
arithmetica Infinitorum.
abscindentibus,) abscissi coni (verticem inter ex plana
Secantia) sunt ut 1, 83 27, 64, Oc. numeri cubici.
Portiones vero interjecta, ut 1, 7, 19, 37, c. disseren-
tia numerorum cubicorum. (e similiter in Pyramide)
Cuia cum conorum abscissorum alcicudines sine arictimeti.
ce proporcionales _ propierea etiam balium diametri; adcoq;
BaCcs in carundem rarione duplicata; eric racio conorum (quX
ex alcicudinum e balium racionibus componitur) in ratione
alcicudinum eriplicaca, Icu VC 2, 8, 27, 64, _C. EF PrOPICrCA
porcioneo incerjecta, ut 13 7 = 8 = 1, 19 = 27 = 8, 37 =
64 = 27. _C
2
P R O P. LXIZ. Corollarium.
V T Parabola rectis quorlibet secetur (basi parallelis
D. e aqualiter ab invicem remotis, portiones aeque-
altas abscindentibus,) erunt abscissae parabola
(verticem inter  rectas (ccantes, ut T V 2, 2 V 2, 3V 3,
+Y 4 ~c. vel ut YL, V8, Y27, 164, e0. radices
qua