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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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it
drithmetica instnitorum.
PROP. CLZXXI.
Theoreme
Prop. 162
Fries numerorum Frianguliprramidalium, in
praemicta Pabella, commode interpolari Dote-
rie Ciplorum numeris lacoralibus, tot interpo-
nancur medii Arithmetici, quoc oDus cA, _ ex iis For-
mentur numeri Friansuliprramidales, Per Praece.
denceM.
Duca laceribus interpolatis Z, 1, 1232, 2233,32,4142
5,52,6, etc. relpondene manere Frianonlioycamidales 128, 13
2 128.3538 128, 13, 23 128,35350 125,70394 225, 26, C.
12.
128, 15, 2828
226, c. Vel porius  2, 2435,
p84
70, 26105
PROP. CLXXXII. Lemma
2818
DRopolitum sit inquirere, quam ad latus luum ratio
nem habeant sequentium seriorum numeri Figura-
ei puta Prramidipyramidales, E2c.
Poset quidem hoc praekari eadem mechodo qua usus sum ad
Prop. 176, _ 179. Opc proposicionum ibidem memoracarum,
nempe pr. 2, 20, de 40, sinul cum prop. 43. Talcem si prius ul-
cerius prolecuri Fuerimus cradicionem racionum quas habene le-
riestinicx Onartanorum, Onincanorum, Sexranorum, (cum
Sequoncibus,) ad series Aqualium; quain cradicionem non nili
lericer innuimus ad proD. 43. Fam veeo liquis ulcerius conti-
nuandtam relic, licebic iptirel alia quae libi maxime placeat
mechodoid praestare, vel eciam (nili meliora ipsi OccurranE
auxilia) opehujus ipsius quam iam prae manibus habemus Ta-
bellae, Poltquam ria mox docenda ottenderimus rationes nu-
merorum figuracorum ad Cuum cujuslibee lacus in sequentibus
Seriebus inrestisare. Nam ue ad prop. 176 _ 179, ex cognitis
racionibus simplicium Ccrierum finicarum (Duca Primanorums
Sccundu