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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 64, page id 824573315:0276
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64
Arithmetica Infinitorum.
norum (cujus index 4) dividatur per
Ceriem cuborum vel Terrianorum Ccu.
Jus index 3) Onocientes crunt seri
eo laceralium seu Primanorum, cujus
Index L 4 - 3.
Si Ceries cerrianorui diridacur per Teriem
Primanorum proreniet series sccundonon
rum, cujus index 2 == 3 = P. Felise.
eies Eccundanorum per seriem sccunda-
norum diridatur, proveniet leries xgua-
dium, cujuo index 0 = 2 - 2. Ec Gcde
Caeceris.
DemonAratio PaTeE ex PrOD. 73.
Ouia nempe serieo Terrianorum in seri-
em primanorum respectire dueta efficiet
Periem Mmarcanorum. Ec lcries prima.
norum in leriem sccundenorum sic du-
eta elticiet seriem cerrianocum. Ee Peri-
es sccundanorum in Periem se qualium
Terc.
DC
1C
8C
27C
ec.
Orim.) PerE. (Sccinc
dl
SCC.
ob a
_C.
sic ducta, producee leriem secundanorum. PP Cc in reliquis
omnibus. Ouod enim mulciplicatione conticitur, id Diuitome
relolvicuro
PROD. LXZXII. Corollarium.
Deoq., ubi idem est eraduum sive indicum excessus
Seriei Dividendae supra seriem Dividentis, idem erit
seriei Onotientum index.
Extempli gracia. Si Eeries Textanorum per Periem auar-
tonorum, vel Ceries ouincanorum per Ceriem Tercianorum,
vel series ouarranorum per seriem Secundanorum, rel leries
Tercianorum, per Periem Primanorum diridacur; proveniet
Teries Secundanorum. Oix nempe in singulis scries Divila leri
en Diridentem duobus gradibus superac; cRenim 6 = 4 =
 3 = = 4 na 2 = 3   = = 2  0 = 2) IdCOGHE DEFPEX
ced.) idem leriei proveriencis Index. FEparicer in aliis.
PrOP. 621
OuarE. Prim.
094
16O
_C
81
ec.
DC
c
Seco aqualo
perore