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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 144, page id 824573315:0356
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E4 4
arithmetica insinitorun.
PFOP. 27G
lacera 1,2,3, 4, 5, 6, _c. A impolaca (IBE 23 2, 1 =, 2, 22,3
33, 4, 4235352, 6, Ecc. hilce laceribus relpondebie terie
Pyramidalium ab.3 2, 2 2a3 436 20720, 14. 163 20, 26 26, 35
12
4425. 56, _c. vel Criam 26. 2, 22, 43 2a, 10, 234, 20, 14
B5
5156, _C. Vel DOCIU 28, 13 a5 3 43 42 3 103 363 207
2+
228. 7
+8
224 2
,56, _C.
PROP. CIXXIR. Commaa
DRopositum sitinquirere, quam habeane rationem
numeri Triangulipramdales ad latus luum.
Praestabitur hoc eadem methoco qua prov. 176. Dtempe.
1. Numerus Triangulipyramicta lis aguaCur AEGPEAIO BU
merorum omnium Pyramidalium Cincellise, quorum lacera
Cunc numeri incceri, nam de interpolacis hic non agitur,) ab
unicace ad numerum sibi collareralem, inclusire.
2. E. A aucem laceris h, numerus Pycamicalis
PEF PEOD. (77.
3. Ergo, Cumpeis laceribus 1, 233,
4, _C. Vel Ccorum loc0) a, b, c, d, UC.
Cummahorum a + 3 a = + 2 a, b3 7
3b +2b, c +3c= + 2C, d3 + 3 de
+ 2d, Ec. eric Cexcuplum aceresaci
Prramidalium C quorum omnium
(3 + 312 + 210
Y 343 + 2 d
+3b = +2B
c + 3C2 + 2C
+ 3d 2 + 2C
_C.
numeras eric aequalis laceri eorum Num. Trianonlipyram.
maximi, utDaTeT:) _ Propterca hu-
jus sexreeaci sextans erit numerus Prionsulippromisasia, ca
jus lacus idem erie cum lacere maximi Pxramicalium.
4 Rdcoq. numerus Prianeulipyramidalis cA (CXCS D2T 28-
grexari erium serierum, coulq; ab unicare concinnacsrum da
nec numerus terminorum sic agualis laceri cmeri Feiansuli-
Pyramidalis propoliti, quod dicacurt: 2dcog: (i ipliS PExPOnE-
cur terminus alter 03 +02+0 (ne series incellisantur ab 0
inchoacx) hec numerus cerminorum 17 F. Kesingularum Lc
rierum illarum Cumma scortm innote(CCE Der PTOP. 2. 20.
 40.
S HCmp