Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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dit perpendiculariter in perpendiculum AD, idem dico de plano YD,
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cuius perpendiculum vt inueniatur, ex centro A adducatur perpendicu
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laris in YD: </
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<
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">hinc non poteſt deſcendere corpus ad centrum terræ per
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planum inclinatum rectilineum quia linea recta quæ ducitur ad cen
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trum eſt perpendiculum; igitur non eſt planum inclinatum. </
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Theorema
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69.
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Poteſt determinari motus duorum planorum inclinatorum quorum idem
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est perpendiculum,
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ſit enim arcus terræ GFC centro A; </
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<
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FK GFL quorum idem eſt perpendiculum LA; </
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<
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id
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eſt ad motum per K vt DC ad DCA; </
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<
s
id
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">ducatur autem AH perpendicula
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ris in GL, & centro A ducatur arcus HE, ducaturque vel HO perpendi
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cularis in AL vel CP in AH; </
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<
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id
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hæc ſunt facilia. </
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Theorema
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70.
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Nullus gradus impetus deſtruitur in deſcenſu KF vel MF per ſe
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; </
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<
s
id
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">quia nihil
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eſt à quo deſtruatur, dixi per ſe; nam per accidens aliquid deſtrui poteſt
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tùm ratione plani ſcabri tùm etiam ratione aëris. </
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Theorema
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71.
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Omnes gradus acquiſiti in deſcenſu concurrunt ad deſcenſum præter vnum
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ſcilicet præter acquiſitum vltimo instanti deſcenſus
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; quia impetus non con
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currit ad motum primo inſtanti quo eſt, per Th. 34. lib.1. de omnibus
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aliis certum eſt quod concurrant, quia non impediuntur, igitur concur
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runt per Ax.12. lib.1. </
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Theorema
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72.
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Omnes gradus impetus qui concurrunt ad deſcenſum, concurrunt ad aſcen
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ſum præter vnum
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; </
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<
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id
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">probatur, quia ſi omnes concurrerent, maior eſſet aſ
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cenſus deſcenſu quod eſt abſurdum: adde quod impetus innatus ad li
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neam ſurſum determinari non poteſt per Th.12. ſed impetus innatus
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concurrit ad deſcenſum, vt patet. </
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Theorema
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73.
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Hinc tot concurrunt ad aſcenſum quot ad deſcenſum
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; </
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<
s
id
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">nam ad aſcenſum
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omnes præter vltimum, ad deſcenſum omnes præter primum; igitur tot
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concurrunt ad aſcenſum, quot ad deſcenſum. </
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<
s
id
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">Dices, primo inſtanti aſcenſus aliquis gradus deſtruitur. </
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<
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">Reſponderet
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aliquis, tranſeat antecedens, quia cùm inſtanti vltimo deſcenſus omnes
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gradus præter innatum exigant motus pro ſequenti inſtanti, quod eſt pri
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mum inſtans aſcenſus; certè tot concurrunt ad primum inſtans aſcenſus,
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quot ad vltimum deſcenſus, licèt aliquis gradus deſtruatur pro primo in
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ſtanti aſcenſus. </
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<
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id
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">Reſponderet alius, cùm primo inſtanti aſcenſus gradus
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ille qui vltimo deſcenſus productus eſt concurrat ad motum, igitur illo
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inſtanti fruſtrà non eſſe, igitur non debere deſtrui, cùm eo tantùm no
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mine deſtruatur impetus; </
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<
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id
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">igitur primo inſtanti aſcenſus non deſtrui </
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