Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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HGV, motus fieret per HX, ſed HX eſt æqualis HM; </
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<
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">igitur deſtruitur
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ſubduplus impetus, quia eſt fruſtrà; </
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<
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id
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">ſed HC eſt ſubdupla HA: </
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impetus innatus retrahit mobile per HE minùs, quàm AD iuxta eam
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proportionem, in qua motus per HE eſt minor quàm motus per AD; </
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<
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id
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">ſed
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motus per HE eſt ad motum per AD vt HE ad AE, vel vt HC ad HA; </
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igitur illa vis, quæ retrahit mobile per HE eſt ad eam, qua retrahitur
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per AD vt HC ad HA; </
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<
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id
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">ſed in eadem proportione deſtruitur impetus,
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quo mobile fertur ſurſum, in qua retrahitur deorſum; </
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<
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">igitur impetus de
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ſtructus in H eſt ad deſtructum in perpendiculo vt HC ad HA; ergo
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vt ſinus rectus arcus inferioris eſt ad ſinum totum. </
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">Dictum eſt eodem tempore; </
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">nam minori tempore minùs impetus de
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ſtruitur, plùs verò maiori; </
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<
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">vnde quando comparatur impetus deſtructus
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in plano inclinato ſurſum cum deſtructo in verticali, ſemper intelligi
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tur vtrumque deſtrui eodem tempore; </
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<
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id
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">alioquin vitioſa eſſet proportio,
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& comparatio; idem dico de impetu producto, quod de deſtructo. </
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Corollarium.
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">Inde colliges in eadem proportione minùs impetus deſtrui in aſcenſu
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per planum inclinatum, quâ minùs producitur in deſcenſu. </
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Theorema
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17.
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Totus impetus qui concurrit ad deſcenſum funependuli, non concurrit ad
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aſcenſum,
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prob. </
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<
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">quia impetus innatus non concurrit ad aſcenſum, vt
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conſtat ex dictis alibi; ſed hic concurrit ad deſcenſum. </
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Theorema
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18.
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Aliquis etiam gradus impetus concurrit ad aſcenſum, qui non concurrit
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ad deſcenſum,
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probatur, quia vltimo inſtanti deſcenſus aliquid impetus
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noui producitur quantumuis minimi, quia ſingulis inſtantibus motus
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deorſum aliquid impetus accedit; </
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<
s
id
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">ſed ille impetus non concurrit ad mo
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tum deorſum; </
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<
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id
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">quia cum primo illo inſtanti, quo eſt, non concurrat ad
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motum, cumque illud inſtans ſit vltimum motus deorſum; </
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<
s
id
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">certè ad mo
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tum deorſum non concurrit, ſed ad motum ſurſum concurrit, nam pri
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mo inſtanti, quo eſt, exigit motum pro ſequenti; eſt autem ſequens
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inſtans primum aſcenſus. </
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Theorema
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19.
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Aſcenſus funependuli non eſt æqualis deſcenſui:
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patet experientiâ; ratio
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eſt manifeſta; </
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<
s
id
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">quia impetus innatus non concurrit ad aſcenſum, licèt ad
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deſcenſum concurrat; </
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<
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id
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">nec dicas impetus gradum vltimum non concur
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rere etiam ad deſcenſum, licèt concurrat ad aſcenſum; </
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<
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id
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">nec enim eſt pa
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ritas; </
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<
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">quia impetus innatus, ſeu primus gradus eſt perfectiſſimus omnium
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productorum; </
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<
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id
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">vltimus verò imperfectiſſimus, tùm quia producitur mi
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nori tempore, tùm quia producitur in plano inclinatiſſimo; igitur ſi
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comparetur cum primo, pro nullo ferè haberi deber impetus. </
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