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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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Ariihmetica insinitorum.
PROP. VII. Coroll.
I Spiralis descripra circularionibus duabus, tri-
bus, gnatuor, ~c. inteoris; aequatur semissi pe-
ripheria circuli secundi, tertii, quarti, c. bi5,
ter quater, c. sumptae.
Nam dum deseribitur Spiralis MAB (duabus circulacioni-
bus Facta) Punctum illud B, peripheriam BB bis delcribit.
_ dum deleribitur Coiralis MABC, Peripheria CC cer deleri
Dicurs _ Perioheria DD quater, dum delcribieur (piralis
MABCP. EF c deinceps, pro numero circulacionum mulii
plicanda elt peripheria contermini circuli, de mulcipli semilsis
aequatur spiraliincerea deleripta.
PROP. VIII. CorOlI.
Y vero spiralis ultra circulationem primam. sed
non duabus inteeris continuetur, aquabitur semissi
tam peripheria intesri circuli contermini, quam e
jusdem continuationis supra circulum integrum.
Nam incerea dum deseribitur (motu composie) Spiralis
MAT, delcribetur etiam (a puneto P) arCUS PPT, nempe
toca peripheria DP cum adjuneto addicameneo PY. Fr80 _C.
PEOPEOPS Ouod erac demonstrandum.
PROP. 1X. Coroll.
E Paricer, Si spiralis continuetur per circulatio-
nes duas, tres, guatnor; ant plures inteeras, cum
addiramento; egnabitur illa semissi contermina
peripheria inteere, bis, ter, gnater, ant sapius accepta
(Pro numero nempe interrarum circulationum) cum se-
misse item additamenti.
Quia
PrOP. 7, 8,9
Infieura se.
guente.