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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)
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De Demonstrarionibus Maihemaricis. Unde Mathematicas
vere scientias esse confirmatur.
Emonttracio, sire ovmronspds omsnuorrnos, ille reputatur
Syllosismus, qui affectiones proprias de subjecto per proprias causas
demonstrat. vel, er Fulius apud Aristorole cradicur, l. 1. post. AM. C. 2.0
ASCEIS SEI OVMOOIdS EMSHVOVINOS, E anndcr, ny oec cor ny a ocoV
2y 7vcoel pTESCOV, H _CG7EBCOV, N, 2. 17COV YB OVHDECGSuaT C. Oua tamen
detinicio non omni demonstracioni conrenire pucanda cA; Ccd
illi quae eAt re sihrI, quae eciam nveicos Demonstracio dicitur. Ad
Demonstratio
nes matoeMa
etbu
Demonttrationem enim r5 82r, lusticie argumentum ab effceris
duccum. Ouod et Pacis innuic Rristorelce, cum alium sciendi
modum indisicat, de quo le poltea dicturum promiccie.
Demonstrationes aucem Machemaricas quod arrinet; nemo
eA quem Ecio, qui de carum vel cercirudine rel eridentia, modo
recce insiruaneur, dubitarie; nec qui ullas omnino aliasret
cerciores vel magis manifeltas else contendit.
Ovaeritur camen a nonnullis, An ad illius, qua Posissimâ dicunes
_ ab Aristotele desinica concendune, Demonstracionis disnicate
alsursant. Er duo porissimu objiciune, quo miniis id concedacur.
Eleridere est apud Smiglecium in Logica Tua Di s. I4, R. 14.
Primum elt, quod entia Machematica, quatenus a Machema-
themarica sins licis considerancur, non omnino existant in rerum nacura. Non
tantum ima enim ulpiam, inquinne, reveriuncur Lineae vel luperticies a cor-
Poribus abstractae; nec quidem corpora sphaerica, cubica, aliare
regularia; aucerisona, cecrasona, circuli, aliaere tisurae pla-
nx, ad amustim Machemacicam exacta: adeoq; vel omnino non
esse, vel elletantum imasinaria, concendune; ideogi de illis
Scienciam esse non polse, cum Cubjectis cancum imaginariis non
Pollinc reales affectiones inelte, medum de illis demonttrari.
Sed lere omninohoc eAt, et Lacile dissipatur. Ouod enimde actu-
ali existencia dicicur, omnino rapeszor cA: cum existentia HEcan-
cu linsulariii, Eciencia vero univerlaliu; et ad hoc; uc aliquid HE
objectum Scienciae, sire existac sire non existat perinde elt, modo
ejusmodi Gc, uc (in indiriduo)exictere poltic: uE de Kola in hyeme
diciColee. Ouod enimhujulmodi ck, pocius ens in potentia di-
cendu cs, quam rel non ens, vel ens imaginariu, ire enoracionis.
LincaS
Demonstratie
quid.
A1M P otistina
An entia ma
BIMarIa.