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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 29v, page id 00068193:0060
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Specimon praeliminare
natum 1A2A. Ponatur deinde B accepta velocitate ut 4, ascen-
d; ascendet ad alti
9
tudinem 3BM 16 pedum (per Lemma ex Galilaeo praemissum.
Adsit jam statera quaedam 3 A L3B, pentingens a 3 A, loco m
quo quiercit A in horizonte ad 3B locum ad quem ascendit B, ita
divisam hypomoehlio seu centro L, ut sit brachium L3B paulo ma
sus quadruplo brachius L3A, exempli caus quintuplum. Igitur I3
elevatum n 3B vi sui impetus, ut mcdere ibi possit in staterum
preptonderabit in statera ipri A, in altero extremo 3 A posito; quia
cum A sit quadruplum iptius B, distantia tamen iptius Ba controL
major est quam quad rupla distantia iprius A. Itaque P descendons usque
ad 4B in horipontum AM, attollet A ex 3A in 4A. Jam ex
et 2BN
c et dE
et 5B 4. A, et L, demittantur in horizontem perpendiculares 4AP et LN,
Hagi quia 3BL est quintupla (i placit) ipsius 3AL, erit 3 AL sea
e
ta pars iprius 3A3B; Ergo et LN sexta pars iprius 3BM. Rur-
sus 4A4B est ad 4BL ut 6 ad 5. Jam LX ad 3BM ostensa et
etse ut 1 ad 6. Ergo 4 AP est ad 3BM ut 1 ad 5, ecu 4 A ett quin-
tatars 16 pedum. Ergo cum mitio habuerimus corpus 4 li
brarum A elevatum tantum modo ad pedim unum 1AH, nunc
habemus idem elevatum ad tres pedes cum una quinta; tanta e
nim est altitudo 4AP. Atque ita corpus vi tolius descensut sui
et eorum quae pr potentiam inde productam sunt effecta, sete
pum, prope quadruplo altius extulit, quam erat ante. Quod ett
abturdum (per Aaccoma proxime praecedint.) Motus enim perpe
tuus sic habetur in promtu. Nam freri potert ut grave A et
AA rursus decurrat in 1A, et inter decurrendum per altitudrum
plusquam duorum pedum operationes aliquis Mechanicas denderr
tas pressit (veluti pondora alia elevet, ligna secet, et similia ayat,
et nihilominus deinde in 1A rediens, ubi initio fuerat, in statu sit
eundem lusum repetendi. Nam et B in locum priouum 1B iterum
rdiro
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