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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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Prithmetica Infinitorum.
PR OP. L. VI. Coroll.
Ter. Planum Semi-paraboloidis (vel etiam Parabo-
loidis) cnbicalis, est ad Paralleloerammum circum-
scriptum, ut 3. ad 4. (C consequenter, ipsins Comple-
mentum, est ad idem Parallelocrammum, ut Y. ad A.)
Cum enim (per 45. PFOP. C On.
Sect.) ordinatim axplicare in Parabo
Joide cubicali sinc in Caberiplicaca
racione diamcerorum (sre distancia-
rum a vertice) eric planum ex illis
omnibus conslacum Peries subrerria-
norum; quae le habet ad Periem cori-
dem maximo aequalium Choc ett,
ad Parallelogrammum circumlerio.
Fum,) ac 1 2d 1Z, lire ut 3 ad 4. (PC
conlequenter, ipsius complementum,
nempe parallelogrammi residuum,
ex ad idem Parallelosrammum, uc L
2d 4
rOD. 30.
PROP. LVII.
Corollarium.
Odem modo, Planum semi-paraboloidis (vel Para-
boloidis, Bignadraticalis, Surdesolidalis, aut superi-
oris cujusvis potestatis, ratio ad Paralleloerammum cir-
cumscripium nota erit; putant 4 ad 5, 5ad 6, 8 c. (Pt
consequenter, ipsorum etiam complementa ad eadem Pa-
rallelogramma rationem notam habebunt; puta ut T adt 5,
2 ad 6. e c.
Sunc enim illa plana Peries subguarcanorum, subguintano-
rum, _ec. ideogue, ad Ceries AE qualium, uF 4 2d3, 5 2d6; _C.
ec consequenter, corum complemenca (quae quidem lune lcries
EUArEaOTUM, QincanOrum, _C.) UE Y ad 5, + ad 6, &c.
H
SCFOL.