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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 68, page id 824573315:0280
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B0
Prithmerica infinitorum
PrOP. 60
es dividens eAt uno gradu Tuperior Perie diridenda, adeoque in-
dex leriei diridencis unitace majoe quam index leriei divila,
DIICa 3  3 =- 2 in 1 == 2 _n O -- 1:) termini lcrici oriorda
ecune reciproce proporriona les homologis cerminis leici pri-
manorum Paca si respectire dividatur
Teries
04 2, 2a, 4 a23 9 a 2, 16 a2 8C.
Per leriem Od, 2a, 84, 27 a, 64a, _C.
vel series. ∞43 1a.
2a.
4_, _C.
Per leriem Oa3 1a3 4a3 9a, 16 a, _C.
vel Ceries
1
Pecleriem 0a3 2a, 2a, 31,
Prodibic series =
da-
2an
2 e 3
3a9
4 a.
423
et.
C0
EC.
cujus Perici cermini lune reciproce proporcionales homolog:s
cerminis Ceriei primanorum.
UE PatCE. Nempe
24. 2a. : :
d
a
d
3a
2
4 a
2 3 _C
3a =. Ec sic ubique.
Fodem modo si series primanorum dividenda (ic per Teriem
cercianorum; vel (quod caneundem rolcc) Ceries squalium
vec Ceriem Secundonorum; exic feries proveniens scriei secun-
danorum recipeoce proxorcionalis. Puca
0a3 223
423 da 16 a, _C.
B. Cpari modo in omnibus ejulmodi divitionibus continset.
DROP, LZRZVIIT. CorOI.
I insinica plana (parallela) Parallelepipedi, ad toti-
dem rectas Trianculi (aeque-alri) applicentur; (v et
si respectivis rectis Trianeuli, e Paralleloerammi-
sumantrr tertis proportionales;) series rectarum proveni-
entrum erit reciproca seriei Primanorum, quae quidem
recte