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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 16, page id 824573315:0228
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AC
Arithmetica Tnfinitorum.
0F 1 + a F 9+ 16+ 25, + 36 = 91
PrOP. 20.
36F36F, 6t36t36+ 36 +56 = 252 = 16 = 5 + 50. Ec sic deo
InCCpS.
Rario proveniens est ubiqs major quam suberipla, Ceu 2.
RXCCIOS ANCCI PErDEEUO dECTELCIE PFOUE HEMerUS terminO
TUM AISCCUE; DUCa 3, 223283 243 30, 3 dc aucto nimi-
rum Fractionis denominacore, sire consequence racionis, in lin
eulis locis mumero lenario, (VEDATCE,) uE sic racionis prore
alieneis excessus supra Cubrriplum, ea quam habecunicas ad lex.
suptum numeri cerminorum polto, adc0q;...
PROP. XX.
Theorema.
I provonatur series quantitatum in duplicata
racione Arichimetice. proportionalium (Cve jux
ca Ceriem numerorum quadraticorum) conti
nue crelcentium, a puncto vel o. inchoatarum; ratio
quam habet illa ad seriem cocidem maxime, aequali-
um, suberiplam superabit; eritui exceltus, ea ratio
quam habet unitas ad sexcuplum numeri cerminorum
post on sive, quam habet radix quadratica cermint
primi post 0, ad sexcuplum radieis quadraticae cermini
Maxuri.
Pura (Ecerminus post 0 primus ponatur n, de ulcimi lacus 1)
SI l.. Vel (polico numero terminorum a, d
ulcimilatereB) 12 +
64
PaTCE ex PrOD. PraCCd.
Com autem crescence numero terminorum, excessus ille lu
praracione Cuberiplum ica continuo minuacus, uc candem quon
libet altienabili minoreractac, (uE PateC;) si in intinicum pro
cedatur, prorlus cranicurus eAt. AC09; .. -