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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 Insinitorum.
SCHOLIDM.
PrOv. 167
Norandum hie, in serie racionem 2, 5 5, 53 3, _c. Deno-
minatores sire conlequentes sune Arichmetice proportionales
adcoq; h in sinculis incerrallis cocidem essene interponenda
rationes, essene illX 2, 2, 53 5, Rc. juxca analogiam Arich
mecice proporcionalium, & leres pror 44, 264.
In Cerie rero racionum 23 5, 30, 150, 570, _c; consequem.
ces 2, 6, 30, 240, 630. dc. hune concinua malciplicatione
6X 1OX 14X 18
TX 2 X Z X a 3RC. vel ZX =2X2OX28,3L NC.
MUMETONM LX
2 X 4X 6X8 eC.
(ubi Fractionum tam numeracores guam denominatores (unE
Arichmecice proporcionales) Et propterea (juxca progrestio.
nis illius analogiam) E numerus primo e: lecundo incerpo-
7 sccundum. mendus dicatur A5 tenc reliqui, reliquis incerrallis incerpo-
nendi, concinua malciplicacione numerorum AX
26,247328C
3 4G X 7BCC
CEc quidem numerus primo anceponendus JA; juxca eandem
analogiam. In praecedench aucem, _ propterca in mox lequen-
ei lecie, numerus primo anceponendus craneleit; nempe, illie
in nihil, istic en infinitum.)
In Cerie deniq; rationum 3, 23 532a9 36, Rc. Conlequen-
Ee8 2, 2,6, 20, 70, _c. hunc continua mulciplicatione numero-
rUm TX 2
chY TOY 10 DeC
Ek 2 X 3 = + _C Vel TX
4XT2 X2OX 28_C.
2X 4 X 0 + 8_C. Cubi
ut lupra, cam numeraco, es quam denominatores fractionum
Cunc Arichmetice. proporcionales.) EE Propterea (juIXCa PrO-
prestionis analogiam) si numerus primo e secundo incerpo-
nendus dicatur a, tiunc reliqui concinua mulciplicatione nu-
8 X 76X24BC.
Merorum a X -
B  3X 7 _C.
PR OP. CLXVII. CoroII.
Deoqu, Si series infinita Subsecundanorum (puta
Van Vb, VC, _C.) respectire ducatur in sciplam
invertam (puta V: D = a. V: D - b. V: D = c.
ec. acq eadem etiam in sciplam directe policam:
Puca Ceries Va, Vb. Vo, ec. in seriem Va, vb, vc
.c. intir primum
te