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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)
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PrOP. 99, 100.
Arithmetica Instnitorum.
det plana prramidoidis parabolici ad rectas complementi
Paraboloidis cubicalis.
Nam e istic index lerici diridencis binario Cuperac indicem
Periei dividenda.
PROP. XCIX. Corollarium.
N oinsmodi serie secundanis reciproca, rectae DB,
aB, ec. sunt in reciprocae rationis Diametrorum
(vel distantiarum a vertice) ratione duplicata (sive
ut dAq D A9, C C.)
Ouia nempe reciproce proportionales sune rectis D B,
aB, _c. quae lunc in diametrorum A D, A d _c. racionis di-
rectae racione duplicaca. Pura
aAg. DA9:: dB. DB:: DB. dB. ErgO dA9
DA9
PROP. C. Corollarium.
DB
dB
N Figura plana C ADBB) ex serie rectarum secnn
danis reciprocarum constata, inscripia parallelo-
eramma (ADB, AdB,) sunt interceptis diametris
CDA, dA,) reciproce proporrionalia.
Sunc enim (per 23. C6) uE D A ~ DB ad d A a dB. EA au-
Ee per praeced.) dB = D Aa DB: EC d A x dB -= D AgDB.
aA9
da
EreO _ D A n DB. d An dB - D Aa DB:: d A+DA + DB.
DA9NDB:: d A. DR.
aE.
PROP. CI. Corollarium.
ET vero fieura plana C APBB) sit ex serie rectarum
Tertianis reciprocarum constata; (quae nempe sint rectis
complementi paraboloidis cubicalis ADB, es Parallelo-
M m
erammi