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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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arithmetica Instnitorum.
PrOD. 127.
Nempe, E index Ceriei ablacxe ponatue a; rarionem habe-
bunc, ad leriem maximo A. qualium, ipla
Residua.
at+
a+ 1
Gua Habel a + 1
unitas ada
Ouadrata.
a
Cubi. _c.
29
30
0+1 20+ I a+I 2a+2. 30+1
2 a 2 + 3 a + I
a+ 2, 2 a + F
a
vet a+ 1 2 a+3 a F 1
20
a
6a3 + XTa + 6a F T.
a + F, 2akL- x 3a + 2
2a  _C.
6a2 4TIa2 F 6 a + 2
6 a3
Acg; hoc idem ralebie E ablaca Teries sic Ceries Radicum.
Verbigraria. Si a ferie A qualium anteraeur leries Sublecun-
danorum cujus index Z. Nam B BOnaTur a = =. ErIE
 + T
a
au n at B+ Y
Ba +. P
3. Et
2 a + Y
2a = 3X2 --6. EC 2 7 L, 2a F Y
32 3Y 2X 13 = 10. _C. Sune aurem, in ejulmodi abla-
cionibus, Residur, Ouadrata, Cubi, _c. ad Ceriem maximo x-
qualium; uc 2 2d 3. 6. 10, _C.
Similicer, Ei auferacur Ceries Subguarcanorum, cujus index
L; X POnAEUIE a = +. Frit a + 2 2 a+ 2
3
ta
+
3
3a + +
3a
=2. _C. 5X3 = 15, 15X27 =35. 35X
2 =70. Rc. Sunc aurem, in ejusmodi Sublacionibus, Residua,
quadraca, cubi, Diguadrata, _C. UC T ad5, 15, 35, 70 _c. LC
Paricer in ejulmodi aliis, uc deinceps etiam ulcerius parcbit.
Incerim placer propoliciones aliquot praecedences in Tabel.
lam conjicere, propolicioni seguenti Subjunsendam. Nen. DC. --
PROP. CZZVII. Theorema.
I exponatur (infinica) series Aqualium muleta-
talerie (analoga) Primanorum, Secundano-
rum, Tertianorum, 8cc. Rehidua ipla, corumq;
Mad. 14
eC.
ad unica.
ce. DE
quam na.
DCME
ue