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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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Drithmetica insinitorum.
PROP. XVI. Cooll.
Ddrabola vero sic convoluta (hoc est, freura Spirali no-
Lstrae adjacens) est ejusdem Parabola evoluia le-
missis.
E enim, Y. 8. Si supponamus parallelogrammi PM laTUS
At
DE ita convolvi, uc rectarum ommium
PM puncta M in eodem puncta coc.
ant, tat ex ParallelOgraMInO (PrOPECK
PACIOS OIMMES R COMMUNI CENETO M X -
quales) circuli sector (qui circulo int
ccoro vel minor eric vel major vel a
qualis, pro ea racione quam ad ingicem
hrabeane rcctae PF, PM;) qui quidem
Scctor C. hoc est Paralleloorammum
convolucum) crie Parallelogrammi
Ceroluci) Semistis; (propierca quod
Prointimels Ldralleloorammis ex quibus Parallelogrammum
expolitum constare suxponitur sunccocidem in Sectore crian-
ula caldem ee bales _ alcicudines habeneia:) Pari modo, R ica
convolvecur Parabola uc dictum est, Sc ordinacim-
applicatarum (pridem parallelarum) extrema alcera in eo-
dem puncto coeanc; intinica illa parallelogramma ex quibus
constare lupponimus planum parabolae (per ca quae diximus
ad prOP. 2, _ 8. C On. SeCt.) fent toridem criangula ealdem &t
bates d alcicudines (cum illis parallelogrommis) habencia:
et propcerca Parabolatic convoluca (hocest, tigura SpicaliS,)
iplius croluex lemillis erit.
Acq: hoc quidem convenie cum sis quae habet Torricelliue
Exenipl. 8. eorum quae iplius cractatui de Colido Hyperbolico
eraemilie; utuc a principiis plare divertis pecica.
P.R OP. XVII. Corollarium.
Aluper, segmenta spiralis, quae fiunt circulationious
prima, secunda, tertia quarta, e sec deinceps; sunt
inter
PROP. 26.