Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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N270EE
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<
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N28067
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N28073
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<
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394
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026/01/428.jpg
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12. libras vtraque æquali niſu, & modo ab eadem potentia impacta æ
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qualem ictum infligit; </
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<
s
id
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N2807E
">probatur quia tantumdem impetus imprimitur
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vni, quantum alteri; </
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<
s
id
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N28084
">nam aëris reſiſtentia vix quidquam facit; </
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<
s
id
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N28088
">licèt pau
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lò plùs reſiſtat aër breuiori, cuius baſis latior eſt in ratione dupla, quàm
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longiori; hinc craſſiori fuſte licèt breuiore maximus ictus infringitur,
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vt patet experientiâ. </
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<
p
id
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N28092
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type
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<
s
id
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N28094
">Diceret aliquis hæc repugnare omnibus experimentis, quibus ſcili
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cet clariſſimè conſtat minorem eſſe breuiorum ſariſſarum vim. </
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p
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<
p
id
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N28099
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type
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<
s
id
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N2809B
">Reſp. hoc ipſum accidere; quia breuiores ſariſſæ, quas habemus, vel
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exiliores ſunt longioribus, vel ſaltem non craſſiores, cùm tamen craſſio
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res eſſe oporteat in eadem ratione, in qua illæ longiores ſunt vt æqualis
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ſit ictus. </
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>
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<
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N280A4
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type
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<
s
id
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N280A6
">Quintò, cur verò maior fuſtis maiorem impetum à brachiorum vi
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recipiat; </
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>
<
s
id
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N280AC
">ratio eſt, primò quia maiori vtrumque brachium admouetur: </
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s
id
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N280B0
">
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ſecundò, quia vibratur antequam intendatur; </
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<
s
id
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N280B5
">atqui ex ea vibratione
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multus impetus accedit, vt patet ex vibrato ariete: </
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>
<
s
id
="
N280BB
">tertiò, quia maior
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lb
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fuſtis tardiùs mouetur, vt conſtat; </
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>
<
s
id
="
N280C1
">igitur plùs impetus in eo producit
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lb
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potentia motrix, quæ ſingulis inſtantibus toto niſu fuſtem impellit; </
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<
s
id
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N280C7
">&
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hæc eſt vera ratio à priori: </
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<
s
id
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N280CD
">quartò, adde quod pondus maioris fuſtis
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quaſi neruos extendit; </
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>
<
s
id
="
N280D3
">atqui tenſi nerui fortiores ſunt; </
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<
s
id
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N280D7
">in qua verò
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proportione ſit maior ictus, dicemus numero ſequenti; eſt enim res
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ſcitu digniſſima. </
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>
</
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<
p
id
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N280DF
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type
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main
">
<
s
id
="
N280E1
">Sextò, determinari poteſt proportio ictuum maioris, & minoris
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lb
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fuſtis, cum vterque punctim impingitur ab eadem potentiâ per eam
<
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dem lineam æquali niſu; </
s
>
<
s
id
="
N280E9
">ſit fuſtis minor H duarum librarum; </
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>
<
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id
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N280ED
">ſit
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maior I 8. librarum; </
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<
s
id
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N280F3
">ſit datum tempus L, quo I ſuam lineam K
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motu accelerato ſpatium conficit: </
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>
<
s
id
="
N280F9
">dico H eodem tempore L con
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ficere tantùm ſpatium prioris ſubquadruplum; </
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>
<
s
id
="
N280FF
">igitur duplo tem
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pore conficit ſpatium K: </
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>
<
s
id
="
N28105
">ſed æqualibus temporibus acquiruntur
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æqualia velocitatis momenta motu accelerato; </
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>
<
s
id
="
N2810B
">igitur vbi H confi
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cit ſpatium K, habet ſubduplam velocitatem illius, quam habet I
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confecto eodem ſpatio K; </
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>
<
s
id
="
N28113
">ſed moles H eſt quadrupla molis I; </
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<
s
id
="
N28117
">igi
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tur impetus H eſt duplus impetu I; </
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>
<
s
id
="
N2811D
">igitur duplò maior ictus: </
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>
<
s
id
="
N28121
">quod
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vt clariùs videatur, in ſchemate hoc ipſum demonſtro, producitur
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æqualis impetus eodem tempore in H & in I; </
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>
<
s
id
="
N28129
">eſt enim eadem poten
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tia, idem niſus, ſed diſtribuitur in H numero partium quadru
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plo numeri partium I; </
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>
<
s
id
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N28131
">igitur velocitas, vel intenſio impetus H eſt
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ſubquadrupla; </
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<
s
id
="
N28137
">igitur ſi I tempore L percurrit AG; </
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>
<
s
id
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N2813B
">certè H eodem
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tempore percurrit AB ſubquadruplam AG; </
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<
s
id
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N28141
">igitur duplo tempore
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AC æqualem AG; </
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<
s
id
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N28147
">ſed H decurſa AC, habet ſubuplam veloci
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tatem I, decurſa AG; </
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<
s
id
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N2814D
">quia decurſa AF habet æqualem: </
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>
<
s
id
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N28151
">ſed AF eſt
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quadrupla AC; igitur decurſa AC habet ſubduplam, &c. </
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<
s
id
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N28157
">ſed ra
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tione molis habet H quadruplum impetus; igitur ratione vtriuſque
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duplum. </
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