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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 34, page id 824573315:0246
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34
Arithmetica Infinitorum.
PrOF. 43.
tocidem maximae aequalium. Nempe in Ouadruplica-
Ea CxIENE 1 ad 5: in Onineuplicaca, UE L ad6: IM
Textuplicata, ut 1 2d 7. Et Sic deinceps.
Pacto enim experimento pacebie rariones inducrione reper
Ead ac has continro proxius accedere, ica uc differencia candem
evadac quaris alsignabili minor; adeoqi in intinicum concinus.
ca cranesCer.
Operolas demonstrationes lineares non adiuneo; quasta
men, lignis poltalet, poceric ille C modo racec) cales exquirere
Egerarum infcripcione _ circumlcripcione, vel etiam alids
D actandas; (quales habet Archimedes pr. 10, _ TI, de lin. (p
ral.) Ostendendo, quod rario neq; major neq; minOr eA quan
atienaca. Acmihi Custicere ridencur illa quas produxi, Caral.
Ierii Methodum Indivisibilium (quoniam eam inrenio à Ceome
Eris jam esse recepra) seCUTUS.
Noca camen ens quibus ulus lum demonstrarionitus, porius
tiguras inccribendasimicari, cum Cupponane primum cerminum
0. Si quis vero hguras circum scribendas imicari mallee; tert
quidem _ illud pocest, modo primus terminus POnatIE L.
Nocandum eciam, raciones inductione quaerendas, in serie-
bus illis quarum processus ett in Rrichmerice proporeionalium
rarione quadruplicara (et sequentibus) magis implicatas
elle quam praecedencium.
Puta in Biquadratis
301: l2 Vet
14 +
10
8 n
2
2
d
En L= + 3 nL + 30n I2 in 30 AL. (POSTO nempe terminO
e imO L, LaTCrE maxiimO LHMTCEO CerMInOTUMn =I Y L.)
In Surdesolidis autem
5 +
 15 + 11
212
15 +
21. LVel
2n13+ 5n 1+ + =
a13
a
22 1 =.
Sed (quodnobis Culticic) ad debicam racionem ica concimé
m2815