Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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mi ſubduplum maximæ; igitur velocitas motus ſit æqualis maximæ, haud
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dubiè ſpatium duplum percurretur. </
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Theorema
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43.
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Hinc benè à naturâ inſtitutum fuit impetum naturalem innatum ſemper
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conſeruari
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; </
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<
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">alioqui violentus eſſet æquabilis, igitur nunquam deſineret:
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quantum abſurdum! quale incommodum &c. </
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Theorema
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44.
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Eadem eſt ratio ſeu proportio ictuum, & percuſſionum, quæ integrorum
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ſpatiorum quæ ſcilicet toto motu percurruntur in aſcenſu & deſcenſu,
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v. g.
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corpus graue cadens ex data altitudine 48 pedum æqualem ictum infli
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git in fine deſcenſus, & in principio aſcenſus, quo ſcilicet ad
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altitudinem aſcenderet; </
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">probatur, quia æqualis acquiritur impetus in
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deſcenſu alteri, qui deſtruitur in aſcenſu, aſſumptis dumtaxat ſpatiis illis
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æqualibus; </
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<
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">igitur æqualis eſt in fine deſcenſus, in quo eſt totus acquiſi
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tus, atque in principio aſcenſus, in quo nullus eſt deſtructus: </
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">ad id verò,
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quod dicebatur ſuprà de ſagitta, cuius ictus maior eſt initio aſcenſus,
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quàm in fine deſcenſus non diffiteor; </
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<
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">quia materia ſagittæ, tùm lignea
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tùm plumea motum ſatis ſuperque retardat, vt differentia ictuum ſenſu
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ipſo percipi poſſit; quæ tamen nulla perciperetur in aſcenſu deſcenſu
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que globi ferrei. </
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Theorema
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45.
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Hinc reiicies Galileum, & alios eius ſectatores qui volunt impetum corpori
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impreſſum deſtrui tantùm ab aëre
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; </
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<
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">quod pluſquàm falſum eſſe comper
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tum eſt, vt demonſtrauimus ſuprà Th. 20. quaſi verò non adſit aliqua
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cauſa neceſſaria deſtructiua, ſcilicet impetus innatus; </
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<
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">hinc etiam eum
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dem reiicies, qui vult numquam fieri poſſe, vt motu naturaliter accelera
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to tanta acquiratur velocitas, quanta imprimitur in motu violento; </
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<
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enim motum acceleratum tranſire in æquabilem, cuius contrarium de
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monſtrauimus ſuprà Th. 131, l. 2. igitur cum creſcat ſemper velocitas,
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nullus eſt finitus gradus, quem tandem non aſſequatur; immò vt dictum
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eſt in præcedenti Th. aſſumptis æqualibus ſpatiis, impetus, qui eſt in
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principio aſcenſus, æqualis eſt cum eo, qui eſt in fine deſcenſus. </
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">Diceret fortè aliquis cadentem globum ex altiſſimæ turris apice de
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clinare à perpendiculari antequam terram feriat, vt conſtat ex multis
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experimentis; </
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<
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">igitur præualet tandem reſiſtentia aëris: </
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<
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">ſed reſpondeo id
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tantùm accidere propter currentem illac aëris tractum; alioquin non
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eſſet potiùs ratio, cur in vnam partem declinaret, quàm in aliam. </
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Theoroma
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46.
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Non eſt eadem ratio ictuum, ſeu percuſſionum, quæ eſt ſegmentorum in
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tegri ſpatij
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; </
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<
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">v.g. in ſubduplo ſpatij ſegmento non eſt ſubduplus ictus, ſit
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enim ſpatium integrum motus vîolenti OH, & principium motus ſit
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in O, finis in H; </
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<
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">accipiatur ſegmentum OM, quod eſt quaſi ſubduplum O
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H, ictus in M non eſt profectò ſubduplus ictus in O, ſed tantùm in L, vt </
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