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], 1585

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[181. Figure: CORPOREA.]
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DISPVTATIONES.
ea, quàm Ariſtoteles præſcripſit.
Sintigitur corpora .a. et .o. inæqualia, eadentamen figura & materia prædita, quo-
rum .a. maius ſit, & per conſequens in eadem quoque proportione grauius ipſo .o. in
qua eſt maius, communi omnium ſententia.
Scribit erit Ariſtoteles proportionem velocitatis corporis .a. ab eam, quæ eſt
corporis .o. (naturaliterſe vnoquoque mouente) eandem futuram, quæ eſt magnitu
dinis, aut grauitatis corporis .a. ab magnitudinem, aut grauitatem corporis .o. Ima-
ginemur igitur corpus u. eadem magnitudine & figura, qua corpus .a. præditum eſt,
ſed eandem grauitatem obtinere, quæ communicata eſt corpori .o. quem eg quauis
materia conſter. Hinc eg primo ſuppoſito ſecundi capitis certi erimus proportio-
nem velocitatis corporis .a. ſi comparetur cum velocitate corporis .u. futuram, vt eam,
quæ eſt ponderis corporis .a. ab pondus ipſius corporis .u. eg .9. igitur lib. quinti Eu-
cli. cogitur fateri Ariſtoteles velocitatem corporis .o. eſſe vnam eandemq́; in ſpe-
cie, quæ eſt corporis .u. quem primo ſuppoſito cap. ſecundi huius lib. planè repugna-
ret. Igitur hæc Ariſtotelis opinio falſa eſt. Idem quoque probaretur mediante cor
pore .i. æquali magnitudine, ſimilique; figura cum corpore .o. prædito, ſed, quòd ab
quantitatem attinet, æquali corpori .a. vnde eg primo ſuppoſito cap. ſecundi huius li
bri in eadem pro
portione velocius
eſſet corpore .o.
figure: 248
[Figure 248]
in qua grauius eſt.
eg .9. igitur quin-
ti cogitur Ariſto-
teles affirmare tam
velox eſſe corpus
a. quam eſt corpus
i. vnde idem pla-
nè inconueniens emergit eg ſecundo ſuppoſito cap. ſecundi huius lib..

quem duo corpor a in æqualia eiuſdem materia in diuerſis
medijs eandem uelocitatis proportionem
retinebunt.

CAP. VIII.

QVælibet duo corpora inæqualia ſimili tamen figura & eadem materia con-
ſtantia, naturaliter ſe per diuerſa media mouentia, vnam eandemq́; ſem-
per proportionem velocitatum ſeruant.
exponantur duo corpora .A. et .B. ſibi inuicem inæqualia quorum .A. ſit maius, ſed ſimile
figura & idem materia,
cuius pondus totaleſit .
figure: 249
[Figure 249]
x.o. & pondus totaleip
ſius .B. ſit .u.s. Imagine-
mur quoque corpus .A.
poſitum in aqua amitte
re partem .o.e. ponderis.

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