Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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Theorema
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91.
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Poteſt determinari proportio anguli huius refractionis motus, ſi cognoſcatur
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reſiſtentia, qua medium reſistit perpendiculari
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; </
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<
s
id
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">v. g. ſi globus plumbeus ex
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aëre perpendiculariter cadat in ſuperficiem aquæ, haud dubiè ipſam
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aquam ſubit, ſed minore motu; </
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<
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id
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">quippe frangitur ab ipſa denſitate aquæ
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vis primi impetus, quo ſcilicet per liberiorem aëra priùs ferebatur: </
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<
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">vnde
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ſi habeatur proportio reſiſtentiæ aquæ poſita linea incidentiæ perpendi
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culari, non eſt dubium, quin habeatur etiam reſiſtentia poſita linea in
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cidentiæ obliqua; nam eodem modo hoc determinandum eſt, quo ſuprà
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determinatum fuit Th. 66. 67. v. g. in fig. </
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<
s
id
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">Th. 65. determinatio noua
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poſita perpendiculari ſit ad priorem vt AZ ad AF, ita vt per mediam
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aquam conficiat tantùm ſpatium A
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v. g. eo tempore, quo in libero aë
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re conficit AC; </
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<
s
id
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">certè ſi linea incidentiæ ſit inclinata EA, determinatio
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noua erit ad priorem, vt AY ad AE, vel AB; </
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<
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id
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">igitur fiet mixta ex AY
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AB, ſcilicet A
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; </
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<
s
id
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">non tamen eo tempore conficiet A
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, quo conficiet
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A
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; </
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<
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">quia ſcilicet omnes partes aquæ reſiſtunt, vt conſtat; </
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<
s
id
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">igitur con
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ficietur A
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æqualis A
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; quæ porrò ſit proportio reſiſtentiæ, quæ mobi
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le retardat in aqua, & reſiſtentiæ, quæ idem retardat in aëre determina
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ri non poteſt, niſi primò cognoſcatur proportio grauitatis vtriuſque. </
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Secundò, niſi ſciatur in quo poſita ſit hæc reſiſtentia: Tertiò, niſi per
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ſpectum ſit, an maiore nexu partes aquæ inter ſe copulentur, an mino
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re, vel æquali, de quo alias. </
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<
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">Equidem P. Merſennus lib.1.a.15. ſuæ ver
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ſionis aſſerit corpus graue per mediam aquam conficere 12. pedes ſpatij
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eo
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, quo 48. percurrit in aëre, id eſt, tempore duorum ſecundorum. </
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<
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">Obſeruabis autem hîc tantùm conſideratam fuiſſe lineam A
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rectam
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ſine noua determinatione, quæ ſcilicet inſenſibilis eſt, quando linea in
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cidentiæ non eſt tam obliqua, nec impetus tantarum virium. </
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<
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">Denique
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obſeruabis cognito vno angulo motus refracti ad datum angulum inci
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dentiæ cognoſci facilè quemlibet alium, qui alteri angulo incidentiæ re
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ſpondeat, vt patet ex dictis: </
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<
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">Vtrum verò anguli refractionum motus ex
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aëre in aquam ſint iidem cum angulis refractionum luminis ex aqua in
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aëra, examinabimus alibi: </
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<
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id
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">hæc interim ſufficiant de motu refracto; quem
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tamen adhuc reflexum eſſe contendo, immò nulla eſt refractio in motu,
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quæ non ſit reflexio, & nulla reflexio in lumine, quæ non ſit refractio, de
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quo fusè alibi. </
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Theorema
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92.
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Aqua, quæ cadit in planum durum reſilit in mille partes quoquo verſum
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; </
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non certè, quòd partes inferiores pellantur à ſuperioribus, vt volunt ali
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qui; </
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<
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id
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">ſed quòd facilè ſeparentur partes aquæ; </
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<
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">vnde non mirum eſt, ſi vel
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modico impetu diſpergantur; </
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<
s
id
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">quippe, vt corpus aliquod reflectatur in
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tegrum, id eſt ſine partium diſperſione, debet reſiſtentia vnionis partium
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eſſe maior tota vi impetus ad nouam lineam determinati; </
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<
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id
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tiùs vna guttula dextrorſum repercutiatur, quàm ſiniſtrorſum; </
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<
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">certè alia
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ratio eſſe non poteſt, niſi primò diuerſa figura tùm aquæ impactæ, tùm </
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