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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 136, page id 824573315:0348
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13C
Arithmetica Infinitorum.
SCHIOLTVM.
PFOD. 169.
Cam isitur (ut ad ea quae monnimus in Schol. prov. 165.
tandem redeamus) res ed redicta sic, ut s postimus rationes
IIl2Sincerpolare (DrOP. TIB. EMOTATAS) 2, 3, 15, 185, _C.
hoc ett, quas habec 7ad c, 2, 23, =88, _C. (hoc eA, ad 1,
12, 23, 2 45, dC.) Qui CerInI CON(EqUeMLeS HUINE ex COnCI
nua mulciplicacione numerorum TX
3 XG X 7 X 9_C
2X 4 X 6 +8 _C.
e
Vel etiam illas (PrOP, 133. ) 2, 33 36. 220, _C. quaruM
termini consequences 1, 6, 30, 240, _EC. HinnE CZ COncinud
mulciplicacione numerOrum YX
6Z TOX TA X Y8 _C.
LX 2k 3 X 4 EC.
Vel denig: ( illa8 2, 23 53 -5, _C; nempe quas habet r ad
23236, 20, _C. C numeros diagoniales cabellae ProD. X32.)
qui tiunc ex concinua mulciplicacIONE NUMETOTUI LX Z =E. X
18 + 24 EC.
Si, inquam, harum rationum Ceriem unam aliquam interpo-
lare pollimus, habebitur accuratillima circuli quadratura. PC
quidem in prima _ cerria incerponenda eric Cpos primam; ra-
eio E: in secunda veroracio , G. Adcoqs incerpolatione in
una prxeltica, in religuis eciam non ditfculcer Rec.
Elacer isicur (uc inde exordium lumamus, unde major elu
cet spes quaelicum consequendi) Tabellam illam Prop. 132.
ageredi, uc rideamus num qua possimus arce illam interxolare:
Adeogi, iplam repecere incermistis alcernactm (paciis, (uc qua
ihic lunc lertes prima, sccunda, certia, _c. sine hic secunda,
quarca, Sexra, _C.) Et paulo accuratius examinare; quod le
quentibus aliquoe propoluionibas ACF.
PROP. CLXIR.
Theorema
Umeri omnes TabelIX prOP. 132. TunE AGura-
ti. Nempe, qui in illius serie primâ (Cive c
recta sive tran(ver(a) sunt monadieis qui in
certia, Priangulares; qui in quarta, Prramidales; et
sic deinceps, puta Frianguli prramidales, Pyramidi-
prramlcteo eC.
Numet