Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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tioris ſthomachi rationem hanc negatiuam, cum tanta nauſea reſpuant,
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cum optima ſit; </
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oportuit; quippe effectus poſitiuus per principium poſitiuum ad ſuam
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cauſam reducendus eſt. </
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Theorema
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34.
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Hinc vides eſſe ſemper quatuor angulos æquales,
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ſcilicet, angulum inci
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dentiæ, angulum reflexionis & duos his oppoſitos; allos verò quatuor
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etiam inter ſe æquales, ſcilicet duos angulos complementi & duos his
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oppoſitos. </
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Theorema
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35.
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Hinc quoque reiicies illos, qui nolunt in reflexione impetum produci in mo
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bili à plano reflectente
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; quod reuerâ, ſi fieret nulla eſſet ratio æqualitatis
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angulorum incidentiæ, & reflexionis, reiicies quoque aliquos apud Mer
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ſennum in phænom. </
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">Balliſt. prop. 24. qui ponunt duo qualitatum gene
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ra, quarum aliæ mobile firmiter affigant plano, aliæ à plano remoueant,
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quod pluſquàm ridiculum eſt; </
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">itemque alios ibidem, qui nolunt circa
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punctum reflexionis ab impreſſione mobilis foſſulam fieri, ſed non ſine
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compreſſione, cuius deinde vi repellitur idem mobile; </
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id
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">ſed in duro mar
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more nullum omninò apparet veſtigium huius foſſulæ, adde quod ſi hoc
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eſſet, ſemper reflexio fieret per ipſam perpendicularem; </
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net ad illas qualitates magneticas, quarum aliæ retinent, aliæ repellunt
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mobile, pœnitus in hoc caſu inſulſæ ſunt; </
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uio repellerent: vtrum verò in magnete admittendæ ſint, fusè diſputa
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bimus ſuo loco. </
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Theorema
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36.
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Ex hac angulorum æqualitate tùm Captotrica infinita ferè Theoremata de
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monstrat in radiis viſilibus, in ſpeculis vſtoriis, tùm Echometria in reflexione
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ſonorum.
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"> Et verò noua Catoptrica poteſt eſſe in motu, quæ eadem pror
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ſus demonſtrabit, tùm in ſpeculis parabolicis, à quibus omnia miſſilia
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projecta per parallelas axi Parabolæ in idem punctum reflectentur; </
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Ellipticis, à quibus omnia miſſilia projecta à dato puncto per omnes li
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neas ad idem punctum reflectentur; </
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<
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">vel Hyperbolicis, à quibus miſſilia
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projecta per plures lineas ad idem punctum ad aliud punctum omnes re
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flectuntur; </
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<
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">vel Sphæricis concauis, à quibus miſſilia projecta per plures
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lineas decuſſatas in eodem puncto ad idem punctum reflectuntur; vel
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Sphæricis conuexis, à quibus miſſile proiectum à quolibet puncto dato
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ad quodlibet aliud datum reflectitur. </
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<
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">Ratio eſt, quia in circulo ſunt om
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nia plana; </
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dricis, Conicis, &c. </
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<
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">quæ omnia ex principiis Catoptricis demonſtrari
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poſſunt: </
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<
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">adde ſi vis in hac Catoptrica verſatos eſſe debere, qui pilâ lu
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dunt, quos nunquam falleret ictus, ſi hanc rationem angulorum non mo
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dò perfectè callerent, verùm etiam ad praxim reducerent: immò poſſet
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eſſe aliqua portio muri talis figuræ, vt ſemper inde reflexa pila per da
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tum cuniculum rectà traiiceretur. </
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