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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 303, page id 826603459:0349
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(
b
di
C AP. 33.
De Progressione Geometriea
303
Deindem cum SICR) AR (AR Z: eric quociencis membrum
sccundu +AR 2
quod ductUM RL X) AR = L AC AR FAR = FAR + A
an dirilore dac
AR L AR 2.
hoc ex dividen.
do. subductum
relIngUIEA R =
 A. Eodem
modos quocien.
cio membrum
cercium erie
+ AR. adeoque
ARa = AR 1
cecta
K= mL
AR=  AH
et2.
AR i A
facta cum mulciplicatione cum subductione, mancbit AR = A
Denique quoriencis membrum quarcum, eodem modo reper-
cum, cA LA. De peracta cum mulciplicacionecum subductione
uc prius, nihil rectabic. Focaque operatione sic Peracta, habe-
AR + = A
Tur quocienS K L L = AR +t AR E + A R + A = S. BE
similicer continset quanculcunque ponatur numerus cermi-
noruminemve quociens lingulos exhibebic. Adeoq; univerlalicer
VR = A ARC  A
R o. L R  C = A F AR t AR = _C. = S. quod
erat demonstrandum.
Id iplum paricer ostendetur, (IjuXta PrOP. 20. expOnamUS
V_ A VR  RA)V
A- Ra) V. ad c04 R = +
V + R F R =
+R 3 _C =- 5.
uE ex adjuncta
diritionis o.
veratione ma-
nifectum est.
Libecaucem
aliam mecho
dum, Cummam
R i X
VRI . V
RC = Rd
RA  RI)VR~ = V (V +R +K 2
TR
R
E
R