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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 12
# Folio 26r, page id 00068165:0051
# Scan: The same scan is also registered as fol. 29v; its text is given once, here.
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192
MENSIS MARTU A. NDCLXKMI. 161
6. G. L. BREVIS DEMONSTRATIO ERRORIS
memorabilis Cartesit (5 aliorum circa legemnatu-
rae, secundum quam volunt a Deo eandem semper quantita-
temmotus conservari; qua Cs in re mecbanica
aburuntur.
Communicata in licteris d. 6. Tan. 1686. datis.
COmplures Machematiei eum videant in quinque machinis vul-
oaribus celeritatem de molem inter se compentari, generaliter
vim mocricem destimant a quancitate motus, sive producto ex mul-
ciplicatione corporis in celeritarem suam. Vel uemagis geometri
ce loquar, vires duorum corporum (ejusdem speciei) in motum
concitatorum, ac sua mole pariter ac moruagentium, esse dicune in
ratione composica corporum seumolium, ec carum quas habent ve-
locitatum. Seaque cum rationi consentaneum sic, canidem motri-
eis potencix summam in nacura conserrari: de neque imminui,
quoniam videmus nullam vim ab uno corpore aniti, quin inali-
ud cransferatur; neque augeri, quia vel ideo motus perpetuus mecha-
nicus nuspiam succedic, quod nulla machina, ac proinde ne
inceger quidem mundus suam vim incendere porest sinc nOvO Cx
cerno impulsu; inde factum est uc Carcesius, qui vim motricem, (5
quancicatem morus prore aequivalente habebar, pronunciareric ean-
dem quancicatem motus a Deo in mundo conservari.
Fg0 vero, uc ostendam quancum inter haec duo incertic, sup-
Pono, primo corpus cadens ex certa alticudine acquirere rim cous.
que rurtus astursendi, si directio ejus ita Ferat, nec quicquani ex-
cernorum impediat: exempli caula, pendulu
aeris relistentia simi-
liaque impedimenta exigua alia nonnihil de viejus absorberent,
2 quibus nos quidem nunc animum abstrahimus. Suppono item
secundo, tanca vi opus esse ad elerandum corpus A unius librae uS-
que ad alcirudinem. CD quavor ulnarum, quana opus est ad ete
van-