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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 131, page id 824573315:0343
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PrOD. 165.
drithmetica insinitorum.
FV: 3r20 9: +N: 4X20= 16: t V: 5X20= 25: F V: B a 29 = 365
+ V: 7X20  49: f V: 8x 20 64. F V: 9X20 - 81: FV: 1OX20 mo
200: + V: 1F X 20 - 181. F V: 12 a 20 = 144: + V: 132 20= 169:
+ V: 14+20= 196: +V: 15Z2O= 225: Y V: 16220- 256: +V:
27 n 20 289: YV: 18 a 20 = 32g: + V: 19 a 20- 361: 4 V
20n20 = 400. Hoc eAt N ot v19 + 136+ V51. + N64F V79
+V84+ V92 + V96+ 109 +V 100 + 100+ 10b + vorF 18q
+r95+ 164+ V52+136+ ~19+V0 Vd2V0t2V19Y2136
+ 2~5F + 2~64 + 2V75 +2184 T2V9T + 2196+2199 +
N100. (Nompe iidem ipsi qui lupra in quadrance Habentur
Dolico radio parcium 10. bis hic polici; nini quod sinus maxi-
mus veriqi quadeaNCi COMUNIS nON REPECAEuT.) Vel eciam
Ot2V19F12+ 2151 + 16+ 10 ~31F9 V22+2N9r +816
+6~1F + 10. Vel deniq; (quia 0 + 12+ 16F 20 --38) 38 1
2V29+2151F 10v3+ 4V21 72192+816+6V11. Ade04;
racio quam habec aggresacum illud racicum, ad maximam to-
cies policam, (puta 21X10 -210)
18+2V19+2151F10Y,F, NZTF2SOC+8V6F6VTI.
210
29FV19+ 152+5N3+2V22 F VOT F 4VbF3Y1I.
105
Ec quidem quo plures ponantur Radii vel Diameeri ParTCS,
cd minus ridecur explicabilisracio sinuum omnium ad maxi-
mumcories lumpcum: adcoq; E supponancur radii vel diame-
criparres intinica, (quod ad leopum nottrum Caciendum vi-
decur, racio sinuum omnium ad radium cories policum, hoc
cR, Ouadrancis vel Semicirculi ad Ouartracum vel Parallelo.
erammum circum feriprum, videarue penicus inexplicab lIs,
Calrem nihi ejusmodi explicatio sufticere judicanda lc, qualem
Prop. 22T e 135. exhibuimus.
Hlisicaq; Derpensis, prope abtuic nc rem qua( Denirus con-
clamacam ulcerius inrestisando delisterem Id unicum quod
Dem Fecit hocerne. Nempe quod eadem difficuleace non ob-
cance, in cadicibus quadcacicis, cubicis, biquadracicis _ c. n-
merorum Rrichmetice proportionalium resnon male (uccellic.
Nam, verbi gracia, Ei series Sublecundanorum aliquou l43
continuetur, pula Net VT+ N 2+ N 37 V, + 5+ 16, iptins rario
ad maximum cocies policum. Duca7 V6, non ridetur alias ex-
plicabilis