Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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cum enim non poſſit moueri vna pars rotæ ſine alia; </
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<
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">certè, vel impetus
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imprimitur omnibus, vel nulli per Th.37. lib.1.præſertim cùm totus im
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petus, qui rotæ imprimitur, ſit ab extrinſeco; nec enim accidit huic rotæ,
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quod alteri, quæ ſitum verticalem habet, cuius ſemicirculus, cui admoue
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tur potentia per lineam deorſum motu naturali ex parte deorſum fertur,
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vt ſupra explicatum eſt. </
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<
s
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N221DE
">Hinc totus impetus in rota horizontali produ
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citur ab extrinſeco; hinc ab ea tantùm potentia volui poteſt, quæ tot
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partes impetus poteſt producere, quot ſunt neceſſariæ, vt omnibus parti
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bus plani illius circularis diſtribuantur, iuxta propagationem, quæ motui
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circulari competit. </
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Theorema
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44.
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Hinc in vtroque ſemicirculo plani producitur impetus ab ipſa potentia ap
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plicata, non vero ab impetu producto in altero ſemicirculo producitur impetus
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in alio,
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vt conſtat ex dictis; </
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<
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id
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">ſit enim rota horizonti parallela ABCD, &
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applicetur potentia in A per AO, non poteſt produci impetus in radio
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AE, niſi tollatur impedimentum; </
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<
s
id
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N2220F
">impedit autem radius EC eo primo
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inſtanti; </
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<
s
id
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N22215
">igitur debet ſimul tolli impedimentum, & produci impetus in
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AE; </
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<
s
id
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N2221B
">ſed non poteſt tolli impedimentum, niſi per impetum; </
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<
s
id
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N2221F
">igitur non
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modò producitur impetus in AE, ſed etiam in EC; </
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<
s
id
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N22225
">atqui impetus in
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EC non producitur ab impetu producto in EA; </
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<
s
id
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N2222B
">applicetur enim poten
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tia in F; </
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<
s
id
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N22231
">certè minùs impetus producetur in FE, quàm in EC, vt con
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ſtat; </
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<
s
id
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N22237
">igitur impetus in EC producitur ab ipſa potentia applicata in A,
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vel in F; ſi verò rota ſit verticalis, ab eadem potentia, & impetu innato
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radij AE. vel ſemicirculi DA BE. </
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Theorema
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45.
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Hinc faciliùs mouetur rota motu illo circulari, quàm recto
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; </
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<
s
id
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">quia ſit dia
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meter AC, vt moueatur motu recto per ſe debet produci impetus eiuſ
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dem perfectionis in omnibus partibus AC, vt conſtat ex dictis lib. 1. ſi
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enim motus omnium partium eſt æqualis; </
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<
s
id
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N22263
">igitur & impetus, at verò, vt
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moueatur motu circulari in plano horizontali facto ſcilicet circulo
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ABCD, & admota potentia in A; </
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<
s
id
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N2226D
">certè impetus qui producitur in A,
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& in C, eſt minor impetu producto in F, & in H; </
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<
s
id
="
N22273
">igitur ſi producatur
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in A impetus eiuſdem perfectionis ad motum circularem cum eo, qui
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produceretur admotum rectum; </
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>
<
s
id
="
N2227B
">haud dubiè totus impetus productus in
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AC ad motum rectum eſt perfectior toto impetu producto ad circula
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rem; igitur difficiliùs ille, hic faciliùs producitur. </
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Theorema
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46.
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Si applicetur potentia in F, difficiliùs mouebit rotam, quàm ſi applicetur in
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A
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; </
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<
s
id
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">ratio clara eſt, quia producet in F impetum eiuſdem perfectionis,
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quem produceret in A, vt certum eſt; </
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<
s
id
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N222A4
">igitur maior erit impetus in to
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ta AC; </
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<
s
id
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">igitur difficiliùs mouebitur rota: adde quod longitudo vectis
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iuuat motum EC. </
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