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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. 182.
drithmetica insinitorum.
Exlemplum octendimus in Schol. prop. 23. Si enim (iI
H
282) concluderet quis, quoniam intinicorum parallelo
grammorum lacera (rectam VB conticuencia) e crapexio-
rum lacera (complentia rectam VS) Reillacim lumpcanonni-
a differeneia infinire parra ab inricem differant (cum cam hec
quam illa sinc intinice parra, quippe s rectarum VB, VS,) eam
isicur concemmendam esse, iplaqs parallelogrammorum alqs
crapexioris lacera dicenda aqualia, _ propcerea (cum ex aequali-
um xqualibus addicione agcresata sinc xqualia) intinica haec
intinicis illis aequalia, hoc eR, cocam VS, aequalem esse cori VB:
manifettus esset paralogilmus, Cin quem camen laplus est ad-
modum procliris, ni careatUr:) Onamvis enim differencia
Einc Ggillatim intinite. parve, (nempe ∞ VS = L VB) om
niumtamen. (numero intinitorum) axgregacum Eac nocabilem
habet magnicudinem, nempe VS  VB.
ac incerim eadem parallelogramma acqi craperia (st aream
Spectemus) non modohgillacim Cumpra differenciam habene
intinice parram; Ccd e eorum apgregaium _ ageregarum ho-
rum (hoc est infinica illa parallelogramma simu l: LumPca, aC43
intinica haec craperia) differentia non nih intnice parra ab in-
vicem differune: quod de iplorum laceribus non obcinet.
Dilcriminis rario haec est. Ouoniam ubi de laceribus com.
parandisasitur, quamris in binis quibussibee respectire Cump-
eis differencia minor cAt quo major eAt omnium numerus, ac in
eadem semper ratione qua lingulae differencixe minuuntur, dit-
Ferenciarum numerus ausecur; adeoq; differenciarum aggresa-
tum dividendo non minuicur. Acubi de areis aGIEUT, NOn mo-
dobinorum (craperii e paralleloerammi) respectire Cumpio-
rum differencix lingulx minuuncur sed _ omnium aBSreBa
cum; e quidem quo plures sine differenciae co minus ett oni-
um ageregatum, donec tandem non modo a lingulis lingudas
Cquod demonstrasse non (uHICereE) led e ab omnitus omnia
differane spacio intinice. parro, uc ex demonstrationibus liguet
Acq; haec aliquanco Fulius nocasse operae precium duxi, quoni
am hic locinonnullos laplui proclires animadverci.
Neaurem hinc aliguid periculi quis suspicetur dum nos al-
ticudinem fixurae cujustibet accuracam, acq; candem aliguoca
lui parce intinice parra eoctam, perinde habemus: hoc
uinum lac securos reddat, quod; execeris paribus, auctio alciru-
e