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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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PrOD. 171.
rithmetica infinitorum.
parcicularium 2: l - T: - 1 - 21 4 1.
20 Onum horum eriansulorum quodlibet habeac eres an-
sulos, cric horum angulorum numIeruS 31 = 61 + 3.
3. Nocandum ekt ad corius Rxurx cria puncta angularia,
nonnili eoc ansulos apponi nempe ad lingula unum:) d
Proprerea illi ereo anxuli occupanc eria puncta, Icu 3P.
4. Adreliqua puncta in laceribus, cerminancur anguli cernis
gnorum isieur quilibec occuxne criencem puncti. Sune aucem
incermedia illa puncta laceralia, in quolibee lacere l= 2, er-
e0 in omnibus 3l -6, (nempe propter eria lacera;) de ansu-
Iiad haec incermedia puncta adjacences 9 l in 18, (DFOPIEF
cernos angulos ad singula puncta;) quorum quilibet OccupaE
criencem puncti. teu S P; adcoque omnes OcCuPAnS
9t nn 18
5. Ad reliqua quae superlune puncta, intra arcam Agurx.
cerminancur anpuli feni (ad quodlibet nempe (ex,) qui Prop.
cerea occupane lexrancem puncti. Duoc aucem illi Cumc ansuli,
sic colligitur. Tocus angulorum numerus cR (uc dixiW)
317  61+ 3: Hinc si (mbdacontur 3 C ad cocius EgUrX anguI
lospotici, ) _ 9I = 18 (ad puncta laceralia adiaCences) ma
nebunc 31= = 2511. 18; qui cA numerus angulorum ad pun-
Cta inera aream eerminacorum. Cum vero horum quilibee dc
cupac Textanrem puncti, srcZ P; occupabune hi omnes
on 251+ 18
6. Denigs, Ei Simu laddantur puncta sic inrenta; dempe 3 P de
31 in 18
e
31= n 15IX 1E
P; erie horum apereeatum
Puncta; numerus punctorum omnium: HOC cA, m
merus criangularis cujus lacus l. Ideo9; -
PROP, CLXXII. Thoerema.
Atus numeri cujulvis Triangularis ad ixsum nu-
+1
merum, estuc l 2d
Uc octentum cA in praeced.
Adcoqo