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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 102, page id 824573315:0314
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rithmetica insinitorum,
DLOT. CAal
CxdD. 132
Theoremas
ari modo, Si exponatur series sEqualium mul-
etata serie Subquartanorum, Subguintanorm,
_c. Rehiduorum Duadrata, Cubi, Biquadra-
ca, exc. ad seriem cocidem corum maximo aequalium,
rationem habebunt cognitam.
e. Nam ut in subductione seriei lublecundanorum, consequen-
tes rationum hune concinua addicione numerorum arichmerice
proportionalium, 1 F 2 = 3. 1 + 2 +3 - 3+ 3 = 6. 2+2 +
3+ 4. = 6 + 4 = 10, X+ 2 F3 + 4 +5 = 20+5=-15. 1 +27
3F 4 +5 + 6 = 157 6 = 2 L. dec lea in lubductione subcerci-
anorum consequentes racionum hunc concinua addicione nu-
merorum illorum (3, 6, 20, 15, 21, _C.) in subductione suble-
cundanorum modo inrencorum; nempe 1 + 3 =- 4. 4+ 6 =
10.. 10 + 10 =- 20. 20 + 15 = 35. 35+ 21--56. _c. vel
+ 1 + 2
1 + 3 = 4. 4 F TF2+ 3 = 2 +. 3 +6 = 10.
20F I + 2+ 3 + 4 - 1. +. 3 7 6F 10 =-20, 2045+ 2 +3+4 +
8 = 1+ 3 + 6 + 10 + 15 = 35. 35+ 2 + 2 +3+ 4 +5 + 6 -
 + 3 + 6 F10 + 15 7 2C =56. _c. Deinde ex numerorum
Jam inrentorii (e, F0, 20, 35,56, _C.) continua additione, fiune
conlequentes racionu in subductione seriei (ubquartanori, (né-
DC 1 + 4 = - 5. 5 + 10 = 15. 25720 =- 35, 35+56 =- 91. _C.)
Ec exhorum icerum concinua addirione, fiune consequences
racionum in lubductione Periei proximae (Cubquincanorum;)
Ecsic deinceps ad hunc modum.
Llacio