Leibniz-Handschriften zur Mathematik LH 35, 10, 12, fol. 28v
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.77.
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The same scan as fol. 27r (00068165:0053), where its text is given.
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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-
Cite
Leibniz-Handschriften zur Mathematik LH 35, 10, 12, fol. 28v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068165:0056?run=74