Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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Theorema
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119.
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Impetus determinatus ad vnam lineam poteſt ad aliam in ſuo fluxu deter
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minatu
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; </
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<
s
id
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N15090
">vt patet in corpore reflexo; nec enim dici poteſt totum prio
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rem impetum in ipſo reflexionis puncto deſtrui, vt demonſtrabimus
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aliàs. </
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<
s
id
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">Probatur etiam ex impetu proiectorum, quæ mutant lineam mo
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tus manente adhuc priore impetu ſaltem ex parte. </
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Theorema
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120.
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<
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Corpus proiectum in aliud ita illud impellit, vt determinet lineam motus
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ratione puncti contactus
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type
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; </
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<
s
id
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N150B8
">Sit enim, ne multiplicemus figuras, globus,
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cuius linea directionis ſit DC, punctum contactus C, ita globus A im
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pellet globum B, vt linea motus, ad quam determinatur, ſit CB, id eſt
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ducta à puncto contactus ad centrum globi impulſi; </
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>
<
s
id
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N150C2
">ſit etiam globus
<
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P impactus in globum A punctum contactus ſit D, linea motus, ad
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quam determinatur, eſt DA, quæ ſcilicet à puncto contactus ducitur
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per centrum grauitatis corporis impulſi: </
s
>
<
s
id
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N150CC
">experientia huius rei certa
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/>
eſt, nec ignorant qui in ludo minoris tudiculæ verſati ſunt; </
s
>
<
s
id
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N150D2
">ratio au
<
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tem inde tantùm duci poteſt, quod ſcilicet ab ipſo puncto contactus ita
<
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/>
diffunditur impetus, vt hinc inde æqualiter in vtroque hemiſphærio
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diffundatur; </
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>
<
s
id
="
N150DC
">coniungitur autem vtrumque hemiſphærium circulo A,
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vel B, in priore figura, eſtque vtriuſque communis ſectio; </
s
>
<
s
id
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N150E2
">cum autem
<
lb
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vtrimque ſit æqualis impetus, nulla eſt ratio, cur linea directionis in
<
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clinet potiùs in vnum hemiſphærium, quàm in aliud: </
s
>
<
s
id
="
N150EA
">præterea cum
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motus orbis globi determinetur à motu centri; </
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>
<
s
id
="
N150F0
">cum ſcilicet globus in
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globum impingitur; </
s
>
<
s
id
="
N150F6
">haud dubiè non poteſt eſſe alius motus centri, niſi
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qui determinatur à puncto contactus, à quo vnica tantùm linea ad cen
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trum duci poteſt, vt conſtat; & hæc ratio veriſſima eſt, & totam rem
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ipſam euincit. </
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Theorema
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121.
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<
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Hinc licèt diuerſæ ſint linea motus globi impellentis, ſi tamen ſit idem pun
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ctum contactus ad
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">eandem</
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lineam globus impulſus determinabitur,
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type
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v. g. li
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cet globus P. eiuſdem figuræ tangat globum A in D per lineam PD ſiue
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per lineam HD ſiue per quamlibet aliam, globus A mouebitur ſemper
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per lineam directionis DA propter rationem propoſitam, quod etiam
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mille experimentis conuincitur. </
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>
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Theorema
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122.
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Determinatur impetus corporis proiecti impacti in corpus reflectens ad no
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uam lineam
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type
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; </
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>
<
s
id
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">patet experientiâ in pilâ reflexâ; reflexionis autem ratio
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nem afferemus in lib. de motu reflexo. </
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Theorema
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123.
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Non determinatur tantùm ratione puncti contactus.
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<
s
id
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"> Probatur, quia cum
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eodem puncto contactus poteſt eſſe determinatio ad diuerſam lineam,
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vt manifeſtum eſt; ſit enim reflexio per angulum æqualem incidentiæ,
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ſed diuerſi anguli poſſunt in idem punctum coire, vt patet. </
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