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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 12
# Folio 28v, page id 00068165:0056
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MENSIS, MARTU A. NDCENXVI. a61
6. B. L. BREHIS DEMONSTRATIO ERRORIS
memorabilis Cartesu es aliorum circa leem natu-
rae secundum quam volunt a Deo eandem semper quantita
temmotus conservari; qua C5 in re mechanica
abutuntur.
Communicata in licceris d. 6. Jan. 1686. daris.
Omplures Machematiei cum videant in quinque machinis vul-
earibus celeritatem de molem inter se compentari, generaliter
vim mocricem estimane a quancitate motus, sive producto ex mul-
tiplicatione corporis in celeritarem suam. Vel urmagis geometri
ce loquar, vires duorum corporum (ejusdem Speciei) in motum
concitatorum, ac sua mole paricer ac motuasentium, esse dieune in
ratione compolita corporum scumolium, _ earum quas habent ve
locitatum. Ieaque cum rationi consentaneum sC, eandem morri-
eis potentix summam in nacura conserrari: ee neque imminui,
quoniam videmusnullam rim ab uno corpore amicti, quin inali-
ud cransteratur; neque auxeri, quia vel ideo motus perpetuus mecha
nicus nuspiam succedie, quod nulla machina, ac proinde ne
integer quidem mundus suam vim incendere porest sine ROVO ex
cerno impulu; inde factum est ut Carcesius, qui vimmorricem, 
quanticarem mocus pro re aequiralente habebac, pronuncsaverit egn-
dem quancitatem motus a Deo in mundo conserrari.
Exo vero, ut ostendam quantum inter haec duo incersic, sup.
Pono, primo corpus cadens ex cerra alcieudine acquirere vim cons.
que rurlus alturgendi, si directio ejus ita Ferat, nec quiequam ex-
ternorum impedias: exempli causa, pendulum ad alcitudinem ex
qua dimissum est praecise redicurum esse, nisi aeris resistencia simi
linque impedimenta exigua alia nonnihil de vi ejus absorberent,
a quibusnos quidem nunc animum abstrahimus. Suppono item
secundo, canta vi opus eRe ad elerandum corpus A unius librae u5.
que ad alcimdinem C D quauor ulnorum, quanta opns est ad ele
van-