Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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<
s
id
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<
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151
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xlink:href
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10, dr. </
s
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<
s
id
="
s.001196
">4; & ex triplo, ſiue ex altitudine diam etrorum
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lb
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trium, eleuatione tripli, ſeu
<
expan
abbr
="
vnciatũ
">vnciatum</
expan
>
15, dr. </
s
>
<
s
id
="
s.001197
">6, cùm tu ta
<
lb
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men videas eleuari duplum, ſiue vncias 10, dr. </
s
>
<
s
id
="
s.001198
">4, non
<
lb
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ex ſpatio duplo, ſed ex triplo, ex quo eleuari oporteret
<
lb
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non duplum, ſed triplum, ſeuvncias 15, dr. </
s
>
<
s
id
="
s.001199
">6. Idipſum
<
lb
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dico de cæteris ad vſque altitudinem diam etrorum
<
lb
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nouem, ex qua attolli oporteret ponderis nonuplum,
<
lb
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ſeu vncias 47, dr. </
s
>
<
s
id
="
s.001200
">2, non, vt ais, quintuplum ſolùm, ſeu
<
lb
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vncias 26, dr. </
s
>
<
s
id
="
s.001201
">2. An placuit tibi progreſſus ille per nume
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lb
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ros impareis, vnum, tria, quinque, ſeptem, nouem, quo
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lb
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rum ſuntinter ſe interualla æqualia? </
s
>
<
s
id
="
s.001202
">Atqui oporteret
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lb
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hoc caſu ex diametro vna nihil attolli ponderis, ac ſu
<
lb
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peratis deinde duabus diametris, attolli pondus ſim
<
lb
/>
plum, ſiue vncias 5, dr. </
s
>
<
s
id
="
s.001203
">2, & ſuperatis adhûc duabus du
<
lb
/>
plum, & adhûc duabus triplum, &c: cùm tu velis ta
<
lb
/>
men ex altitudine nulla, quaſi cyphra, ad altitudinem
<
lb
/>
vſque integræ diametri, quaſi vnius, attolli pondus ſim
<
lb
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plum, ſeu vncias 5, dr. </
s
>
<
s
id
="
s.001204
">2, adeò proinde, vt ſi per ſpatia
<
lb
/>
æqualia
<
expan
abbr
="
mẽſurata
">menſurata</
expan
>
diametris procedere velis, neceſſe ſit,
<
lb
/>
vt poſt primam diametrum, cui velocitatem attollen
<
lb
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tem ſimplum attribuis, accipias ſecundam, cui attol
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lentem duplum attribuas, &c. </
s
>
<
s
id
="
s.001205
">Dicerem id fortè placuiſſe,
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lb
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quòd exiſtimâris videri vtcumque congruere cum eo,
<
lb
/>
quod defendispoſteà, primum primæ partis dimidium,
<
lb
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quaſi pro nihilo haberi, ac numerandum motum dun
<
lb
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taxat ab initio vſque ſecundi dimidii, & pergendum
<
lb
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per
<
expan
abbr
="
ſecundã
">ſecundam</
expan
>
, tertiam, & cæteras parteis, quarum quæli
<
lb
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bet duo dimidia contineat. </
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>
<
s
id
="
s.001206
">Verum, vt taceam notum
<
lb
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eſſe, quàm parùm cohærenter id fieret, nihil eſt cur
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lb
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tempus in coniectando teram, cùm etiam pigeat terere </
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