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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 298, page id 826603459:0344
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De Procressione Geomerrica.
CAP. 33
12. Tcem, s proxoreionales FuerinE eum A. MI :: N. V.
CUm a. : : V, V. CWI a. M: : n. H. CCUm, S PlaCCE, quaternI
plures quoclibet; crunt icem cum facti, cum diridendo orcis
(cerminis respectire Cumpris) cermini proporcionales. PH0
enim in primis ratio R, in secundiss, in certiisr. Adeoquo
A. M = A R :: N, V =NR, IceM a. p = a 5 : 3v. V = v5.
EC a. M = ar : 2 R. n =n r. FrBO CPeF PFCP. 4I.) Aa40
MAm = = A R a P ar:: NI vn. VVN =N R DPAF. BBC eA A a 4.
AaaRSr:: Nrn. Non R sr. ubi communis ravio est Re ra
PariteE _ Aa. MV AaRe NV. VV NVRS. sVC
a m
ar
n u
nr
a) Aa. ar) Aa R5:: 4) NV. nr) NI vR p. ubI COMMUMISVETO.
bique ratio est R P relr) R P. V et AC
Aa.
MI = A R::
e = a 5 3d
m =- a r : 3
Mum = :: NDN.
Aae at eY
Vvu-
Nontrer.
M_ AARS, NV. VV N~Re.
M ar 10 n
et
BY
43. Sed e idem obtinee in concinue proportionalibusi
Duod milicer probandum erit. Pata,
Si A. B. C. D. F i vel A, AR. ARZ; AR, ARa 
F.F a. B. y . 5, c: vel a, a 5. a 5t, a5 a
ErUNEAa. BB. C Z. DS. RC =3 Vel A~. AaRe. Aat= 5. ACK 53, AaREi
EC A B, C. D. E.
a B 3
A. AR . AR AR AR+
S 6  Det a 8 82 5 45
44. Ec quidem, licer alcera proprettio crescens fuerit alcere
decrelceno. CIESICam A. A R, AR E. AR  AR ∞. i cum
 183e. 8 38, 52 ) ∞. 8 )a. i exiE etiam Aa. 5) a AR
Aaa
a 
= 16 Y.