Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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18.A.ita rectam 18. A eſſe ad LA; </
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<
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">quia A 16. eſt æqualis ſemicirculo L
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QA, & hic arcui quadrantis L. 19. ſed vt 16.18.ad 18.A vel L 19. æqua
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lem, ita L 19. ad LA; igitur A eſt media proportionalis inter LA, & ar
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cum 18. 16. ſed de hoc aliàs. </
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Theorema
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7.
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Punctum L mouetur velociùs, & velociùs in infinitum puncto A
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; </
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<
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">aſſumatur
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enim motus puncti L per vnicum gradum quadrantis LQ addatur ſinus
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rectus vnius grad. 1745. ipſi gradui, ſcilicet 1746. eritque ſpatium con
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ſectum 3491. paulò plùs; </
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<
s
id
="
N251E8
">detrahatur autem gradus ex ſinu ſupereſt I, ſit
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que ſinus verſus vnius gradus 15. certè erit ſpatium decurſum ab A da
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to illo tempore paulò plùs; </
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<
s
id
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">ſed velocitates motuum æquàli tempore ſunt
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vt ſpatia; </
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<
s
id
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">igitur velocitas motus puncti L eſt ad velocitatem motus pun
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cti A, vt 3491.ad 15.id eſt vt 232.ad I; atqui ſi accipiatur in orbe ſpatium
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minus vno gradu, erit adhuc maior proportio motus puncti L ad motum
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puncti A. </
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<
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<
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">Immò, ſi ponas ſinum totum partium 1000000. & aſſumat motum L,
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& A per vnum minutum arcus erit 2910, & eius ſinus rectus 2908.ver
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ſus verò; igitur motus A erit vt 2. motus L 5818. igitur motus L ad mo
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tum A per vnum minutum quadrantis, vt 2909. ad I,
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atq;
">atque</
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ita in infinitú. </
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Theorema
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8.
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Minor rota incluſa maiori ita mouetur, vt ſit maior in illa motus centri,
<
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quàm motus orbis
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; </
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<
s
id
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">ſit enim minor rota P
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>
; </
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<
s
id
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N25234
">haud dubiè centrum O acqui
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ret ſpatium OE duplò maius arcu P
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">ω</
foreign
>
eo tempore, quo motus orbis per
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curret
<
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abbr
="
eũdem
">eundem</
expan
>
arcum P
<
foreign
lang
="
grc
">ω</
foreign
>
; an verò ſingula puncta quadrantis P
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foreign
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="
grc
">ω</
foreign
>
reſ
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pondeant ſingulis punctis plani
<
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">ω θ</
foreign
>
, vel ſingula duobus, vulgaris diffi
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cultas eſt, quæ ab Ariſtotelica rota ſibi nomen fecit, quam hîc breuiter
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diſcutimus.
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DIGRESSIO
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De Rota Ariſtotelica.
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<
s
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">ARiſtoteles hanc difficultatem habet, quæſt. </
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<
s
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">24. Mechanicorum,
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quã
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etiam explicat Blancanus,
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proponitq́
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; </
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">Merſennus in præfatione ſuæ
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verſionis
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abbr
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mechanicarũ
">mechanicarum</
expan
>
Galilei; nos illam hoc loco breuiter diſcutiemus. </
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<
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id
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">1. Tribus modis poteſt moueri rota in plano 1°. </
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<
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">ita vt motus centri
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motui orbis ſit æqualis, id eſt vt centrum percurrat lineam rectam æqua
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lem arcui orbis, qui
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eodẽ
">eodem</
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>
<
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abbr
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tẽpore
">tempore</
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conuertitur. </
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<
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">2°. </
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<
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">ita vt motus orbis ſit mi
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nor motu centri, id eſt vt centrum percurrat lineam rectam
<
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maiorẽ
">maiorem</
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arcu,
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qui
<
expan
abbr
="
eodẽ
">eodem</
expan
>
<
expan
abbr
="
tẽpore
">tempore</
expan
>
conuoluitur. </
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>
<
s
id
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">3°. </
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>
<
s
id
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">ita vt motus centri ſit minor motu orbis. </
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<
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">2. Primum motus modum diſcuſſimus in ſuperioribus Theorematis,
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2. verò, & 3. diſcutiemus hoc loco. </
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<
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>
<
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">rota incubans
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plano CN in puncto C centro A, radio AC, quæ
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aliã
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includat
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concẽtricã
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