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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 12
# Folio 30r, page id 00068165:0059
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MIENSIS MARTN A. NDCLMEKMI. ibC
G. G. T. BREVIS DEMONSTRATIO ERRORIS
memorabilis Cartesu Es aliorum circa legemnatu-
re secundum quam volunt a Deo eandem semper quantita-
temmotus conservari; qua es in re mechanica
abutuntur.
Communicaca in licteris d, 6. Jan. 1686. datis.
Omplures Machematici cum videane in quinque machinis vul-
caribus celeritatem ex molem incer se compentari, generaliter
vim morricem aeltimane a quancitare motus, sive producto ex mul-
tiplicatione corporis in celeritacem suam. Vel urmaxis peometi
ce loquar, vires duorum corporum (ejusdem speciei) in motum
concitatorum, ac lua mole paricer ac moruaxentium, esse dicunein
ratione compolica corporum scumolium, ee carum quas habent ve
lociratum. Itaque cum rationi consentancum sit, eandem moti
eis porentix summam in natura conservari: e neque imminui,
quoniam videmus nullam vim ab uno corpore amitti, quin in ali-
ud cransferatur; neque augeri, quia vel ideo motus perpecuus mecha-
nicus nuspiam succedic, quod nulla machina, ac proinde ne
inceger quidem mundus suam vim incendere porest sinc nOVO ex
cerno impultu; inde factum eAt ut C arretrus, qui vim motricem, (5
quanticatem motus prore aequivalence habebas, pronunciarerit can-
dem quancitatem motus a Deo in mundo conservari.
Fco vero, uc ostendam quancum inter haec duo incertie, sup-
Pono, primo corpus cadens ex certa alcicudine acquirere vim eous-
que rursus alturgendi, si directio ejus ita Ferat, nec quiequam ex-
ternorum impediat: exempli causa, pendulum ad alcitudinem ex
qua dimistum est praecise rediturum esse, nili aeris relistencia simi-
liaque impedimenta exigua alia nonnihil de vi ejus ablorberent,
 quibusnos quidem nunc animum abstrahimus. Suppono item
secundo, tanta vi opus esse ad elerandum corpus Auniuslibrae us-
que ad alcicudinem CD quatuor ulnarum, quanta opus est ad ele-
van-