Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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mixtus eſt per Th.44. dixi per ſe, nam fortè per accidens fieri poteſt, vt
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iactus horizontalis habeat arcum aſcenſus, & deſcenſus. </
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Theorema
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61.
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Hinc quò iactus propiùs accedit ad horizontalem ſeu verticalem, minùs
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acquirit in eodem plano horizontali, ſcilicet in eo à cuius extremitate inci
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pit iactus
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; </
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<
s
id
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rat in horizontali plano per Theorema 60. certè quò propiùs ad illum
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iactus inclinatus accedet, minùs acquiret; idem dico de iactu hori
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zontali. </
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Theorema
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62.
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Hinc quò iactus longiùs recedit ab vtroque ſcilicet à verticali, & hori
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zontali, plùs acquiret in eodem plano horizontali
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; ſi enim quò plùs ac
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cedit ad vtrumque, minùs acquirit, igitur plùs acquirit, quò plùs re
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cedit. </
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Theorema
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63.
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Hinc iactus medius ſeu per inclinatam qua cum verticali, vel horizontali
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facit angulum
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45.
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ſeu ſemirectum, eſt omnium maximus, id eſt plùs acqui
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rit in eodem plano horizontali, quàm reliqui omnes
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; </
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<
s
id
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">experientia certiſſima
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eſt, ratio eſt quia ab horizontali & verticali maximè omnium diſtat;
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igitur maximus eſt per Theorema 62. nec eſt vlla alia ratio geome
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trica. </
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Theorema
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64.
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Iactus qui æqualiter ab horizontali & verticali diſtant, ſunt æquales
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; </
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probatur, quia qua proportione ad horizontalem ſeu verticalem acce
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dit iactus, in ea proportione minor eſt; </
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<
s
id
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">igitur qui æqualiter acce
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dunt in proportione æquali, minores ſunt; </
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<
s
id
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">igitur æquales, quod mo
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dica figura ob oculos ponet; </
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<
s
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">ſit enim quadrans ABF, iactus verti
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calis AB, horizontalis AF, medius AD, hic maximus omnium
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erit; at verò AC, & AE, qui ab AD æqualiter diſtant, erunt æ
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quales. </
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Scholium.
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<
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">Obſeruabis primò, omitti à me multa quæ ſuis Parabolis aliqui af
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fingunt, quæ nec experimentis, nec vllis rationibus conſen
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tiunt. </
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<
s
id
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">Secundò rationem iſtorum omnium Theorematum; </
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>
<
s
id
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">quia quo iactus
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ad verticalem propiùs accedit, maior quantitas impetus deſtruitur
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v.g. in AD plùs quàm in GK; </
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<
s
id
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">igitur citò deficiunt vires huic iactui; </
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adde quod acquirit in verticali, quod alius acquirit in horizontali; </
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<
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