Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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IO. BAPT. BENED.
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file
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<
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>o.x.</
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et
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quoque in eodem loco amittere
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et
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in
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re partem
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et
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partem.
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. </
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<
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xml:space
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æquale eſt ipſi
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& corpus
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aqueum, cui correſpondet
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æquale eſt i pſi
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vt eſt ab Archimede
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: </
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muni quadam ſcientiæ ratione, ſequitur eandem proportionem futuram
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ad
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>.e.o.</
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quæ eſt
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ad
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ob
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rationes idem erit de
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ad
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ut
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ad
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&
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etiam erit de
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ad
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vt de
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ad
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vt etiam de
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ad
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. </
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<
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xml:space
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quintí erit de
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ad
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quemadmodum de
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>
ad
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>.u.s.</
var
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idem dico de
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>.x.e.</
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ad
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>
. </
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<
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11. igitur dicti lib. erit. de
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ad
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quemadmodum de
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ad
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ex quibus
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proportionibus, ſi ſubtra
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number
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0186-01
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xlink:href
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hantur proportiones @reſi
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extrinſecus
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uenẽtium</
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, proportiones
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quæ remanebunt, exter-
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tio communi axiomate
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ab Eucli. in principio pri
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mi lib. poſito, ad inuicem
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erunt æquales, ſecundum quas eorundem corporum ſunt velocitates.</
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<
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tuum in uacuo.</
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<
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">CVm verò Ariſtoteles circa finem cap .8. lib. 4. phyſicorum ſubiungit quod ea-
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dem proportione dicta corpora mouerentur in vacuo, vt in pleno, id pace
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<
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ſit planè
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eſt. </
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<
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xml:space
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">quia in pleno dictis corporibus ſubtrahitur proportio reſi
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ſtentiarum extrinſecarum à proportione ponderum, vt velocitatum proportio re-
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maneat, quę nulla eſſet, ſi dictarum reſiſtentiarum proportio, ponderum propor-
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tioni æqualis eſſet, & hanc ob cauſam diuerſam velocitatum proportionem in va-
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cuo haberent ab ea, quæ eſt in pleno.</
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<
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te mouerentur.</
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">QVòd ſupradicta corpora in vacuo naturaliter pari velocitate mouerentur,
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hac ratione aſſero.</
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<
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et
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>.g.</
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omogenea, et
<
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>.g.</
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>
ſit dimidia pars ipſius
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>.o.</
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>
ſint alia
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quoque duo corpora
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>
et
<
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>.e.</
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>
omogenea primis, quorum quodlibet æquale ſit ipſi
<
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>.g.</
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>
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& imaginatione compręhendamus ambo poſita in extremitatibus alicuius lineæ, cu
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ius medium ſit
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>
clarum erit, tantum pondus habiturum, punctum
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quantum
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ipſius
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quod
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virtute corporis
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>.a.</
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>
et
<
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>.e.</
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>
in vacuo,
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<
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eadem velocitate moueretur, quacentrum ipſius .
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o: </
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<
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et
<
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à dicta linea, non ideo aliquo modo ſuam velocita </
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