Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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37
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026/01/069.jpg
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Scholium.
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<
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id
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N1371C
">Obſeruabis primò, ſingularem impetus proprietatem, quæ alijs qua
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litatibus minimè competit; </
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>
<
s
id
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N13722
">nam aliæ qualitates v. g. calor; </
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<
s
id
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N1372A
">lumen in
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eadem diſtantia effectum ſemper æquè intenſum producunt; </
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<
s
id
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N13730
">ſecus verò
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lb
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impetus, qui pro maiori vel minori obice maiorem, vel minorem, hoc
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eſt intenſiorem, vel remiſſiorem impetum in eadem diſtantia producit; </
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>
<
s
id
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N13738
">
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cuius ratio ex eo capite petitur; </
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<
s
id
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N1373D
">quòd impetus agat tantùm ad extra
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propter ſuum effectum ad intra, vt ſcilicet tollat impedimentum; </
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<
s
id
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N13743
">igi
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tur in totum, quod impedit, agit; </
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<
s
id
="
N13749
">igitur non habet certam, & deter
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minatam ſphæram; </
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>
<
s
id
="
N1374F
">cum tantùm agat in obicem, ſiue ſit maior, ſiue
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minor: </
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>
<
s
id
="
N13755
">Quia verò eſt cauſa neceſſaria, æqualem effectum producit, id
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lb
/>
eſt tot partes impetus in maiore, quot in minore, ergo, cum in mino
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re ſint pauciores partes ſubiecti, & plures in maiore; </
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>
<
s
id
="
N1375D
">haud dubiè quæli
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bet pars minoris habebit plures partes effectus, & quælibet pars maio
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ris pauciores; igitur effectus erit intenſior in minore, & remiſſior in
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maiore. </
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>
</
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<
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id
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type
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<
s
id
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N13769
">Prætereà, cum dixi omnes partes mobilis actione communi agere ad
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extra; </
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>
<
s
id
="
N1376F
">ita primò intelligi debet, vt omnes illæ partes moueantur: </
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>
<
s
id
="
N13773
">ſecun
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dò, vt linea motus, ſeu directionis per centra grauitatis vtriuſque glo
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bi v, g. ducatur; </
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>
<
s
id
="
N1377D
">alioquin, vel omnes actione communi non agunt, vel
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minus agunt, de quo infrà; </
s
>
<
s
id
="
N13783
">ſufficit verò iuxta præſens inſtitutum, vt
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globus ita impellat alium vel æqualem, vel inæqualem, vt linea dire
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ctionis ducatur per centrum grauitatis alterius; vide figuram. </
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>
<
s
id
="
N1378B
">in qua
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linea directionis eſt DE. </
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>
</
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<
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id
="
N13790
"
type
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main
">
<
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id
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N13792
">
<
emph
type
="
center
"/>
<
emph
type
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italics
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Theorema
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emph.end
type
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60.
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type
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id
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type
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<
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id
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N137A0
">
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emph
type
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italics
"/>
Impetus globi impacti in alium globum eo modo, quo diximus, id est, linea
<
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directionis ducta per centra grauitatis vtriuſque producit in eo æqualem
<
emph.end
type
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; </
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>
<
s
id
="
N137AB
">Pro
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batur, quia impetus eſt cauſa neceſſaria, quæ tunc agit quantum poteſt
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per Th. 57. ſed æqualis poteſt producere æqualem: </
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>
<
s
id
="
N137B3
">Probatur primò,
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exemplo aliarum qualitatum; </
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>
<
s
id
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N137B9
">ſecundò, quia ideo agit vt tollat impedi
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mentum, hoc eſt vt corpus illud amoueat loco; </
s
>
<
s
id
="
N137BF
">igitur æquali motu per
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ſe; </
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>
<
s
id
="
N137C5
">alioquin niſi æquali motu amoueret, non tolleret impedimentum,
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vt pater; </
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>
<
s
id
="
N137CB
">tertiò ſint 30. partes impetus, certè vel producent plures vel
<
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/>
pauciores, vel totidem, non plures; </
s
>
<
s
id
="
N137D1
">cur enim potius 31. quam 32.
<
lb
/>
nec etiam pauciores; cur enim potius 20. quam 18, &c. </
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>
<
s
id
="
N137D7
">Igitur totidem; </
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>
<
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id
="
N137DB
">
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quia cum ſint plures numeri plurium partium ſupra 30. & pauciorum
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infra vt patet; </
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>
<
s
id
="
N137E2
">ſitque tantùm vnicus numerus æqualium; </
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>
<
s
id
="
N137E6
">certè quod
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lb
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vnum eſt, determinatum eſt, per Ax. 5. hæc ratio licèt videatur negati
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/>
ua eſt tamen potentiſſima: </
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>
<
s
id
="
N137EE
">quartò, quia actus ſecundus, reſpondet actui
<
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primo, id eſt, effectus productus virtuti cauſæ producentis; </
s
>
<
s
id
="
N137F4
">itaque cum
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virtus agendi impetus ſit eius entitas, vt patet, certè impetus productus
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eſt per ſe æqualis impetui producenti per ſe; id eſt remoto omni
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impedimento, & facto eo contactu iuxta modum prædictum, ea quo-</
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