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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 166, page id 826603459:0212
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
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De Maliiplicatione  Divisione
CA P. 2C
EitaB que Se Babet ad A, _C 2 a d r; Sre quae tocies contincat A
qoties 2 ContineEL.
Oua quidem racio etiam aliis characteribus leu (ymbolis,
non minus exprimi vocerie quam iphs tiguris numeralibus; ut
A C, quo innuitur alia quancicas (ip( B homogenca) quae ip
Lam B Fories cominear quories V continet A; vel qua ad B
eandem habeat rationem quam habet Vad R.
Bc quidem ubi species aliqua per aliam cocidem praecile di
mensionum diridicur, quancitas nullius dimentionis oritur, led
AXV
quxe pocius pro Rationis indicio habenda eAt. Adeogi C xV
nil aliud indicat quam eam rationem quam habet quancitas
A B ad quanticacem homogeneam C XD. Nam dividendo
quancitatem quamlibet rer aliam homogeneam, invenitur Rac
cio illius ad hanc: uri ex Diritionis macura superius explicara
lacis patee
Si vero contingot quantieatis Diridentis dimentiones plures
esse quam Dirilx, innuicur quantiras dimentionum pauciorum
quam nullius. (Ouod eadem racione supponendum eric, qu’a
suxponimus quancicates nesatiras (cu ablacicias, quae (inE mi
nores quam nihil.) Sic B L C, BZC XD, RCC. crunE quani
caces dimensiOnum _ F, m 2. _C. Nam L = 2 :- = L F. + =
3 = = 2. 86. Duibus relpondent Oradus (quos dixi) De-
Icendentes.
Siguando quantitas aliqua in seipsam aliquories mulciplica-
ejusdem qua EUX; DuCa, A, AXA, AX A x A, A X A n AX A, ec. ipla quam
ticas A Radix seu Lacus dici Colet, AXA vel A A, quadra-
CeS B A= EUM, R XAXA VEI AAA CUbuS, AX A X A L A veI AAAA
aeres.
Biquadracum ejusdem quanticaris A. Vel ipsius quantitaris A
Docettas prima, secunda, certia, quarta, _C. Ita nempe ut Cu
Julg; Pocectaris index aequalis sic numero dimentionum.
Solene aurem Radix, Ouadratum, Cubus, Biguadracum,
religuxeq: deinceps porestates,) Sc nOtari 2, 23, P, 2878
_c: (uc olim,) vel K, 2, C, O, _c. vel eriam A, A4
AC, A99, etc. vel a- a7 a3, a, _C. (UE FusiuS diximus C. aP.
XI.) neape compendii caula PrO a, aa, aaa, aaaa, _C. L. L PFOP.
TETCA
I0
Porestatum
titatis indi-