Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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Scolium.
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<
s
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">Obſeruabis dari de facto hunc motum mixtum ex duobus æquabilibus
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in rerum natura; </
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<
s
id
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">talis eſt motus nauis, quam geminus ventus impellit in
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mari, vel nubis, imò aëris pars in medio aëre, atque adeo ipſius venti,
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ſunt enim hi motus æquabiles per ſe; quippe retardantur ſolummodo
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propter reſiſtentiam medij, non verò propter vllam grauitationem. </
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Theorema
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15.
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Motus mixtus ex duobus retardatis eſt rectus
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; </
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">ſit enim duplex impetus
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per AE & AH æqualis; </
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<
s
id
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">ita vt in dato tempore percurrat ſeorſim AE mo
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tu retardato; </
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<
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">item AH iuxta proportionem Galilei; </
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<
s
id
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">certè eo tempore quo
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percurreret AD in AE, & AI in AH percurrit AG motu mîxto per Th.
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5. Similiter eo tempore quo percurreret AE ſeorſim, & AH, percurrit
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AF per Th.5. Igitur hic motus mixtus eſt rectus, dum ſit vterque retar
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datus iuxta
<
expan
abbr
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eãdem
">eandem</
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progreſſionem; </
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<
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">ſimiliter ſi alter impetus impetus
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ſit inæqualis, vt patet in ſequenti figura, ſit enim impetus per AE, &
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alter minor per AH, certè ex AD, AI fit AG, & ex AE, AH fit AF, quam
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rectam eſſe conſtat ex Geometria; nec vlla eſt difficultas, quæ ex ſupe
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rioribus Theorematis facilè ſolui non poſſit. </
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Corollarium.
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1.
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<
s
id
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">Hinc linea motus mixti ex duobus retardatis ſiue æqualibus, ſiue
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inæqualibus eſt diagonalis parallelogrammatis ſub lineis determina
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tionum. </
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Scholium.
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<
s
id
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">Obſeruabis dari de facto hunc motum in rerum natura, ſi v. g. in pla
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no horizontali idem globus, vel ſimul gemino ictu impellatur, vel ſi iam
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impulſum mobile per nouam lineam impellatur. </
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<
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Theorema
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16.
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Motus mixtus ex duobus acceleratis uniformiter eſt etiam rectus
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"/>
; </
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<
s
id
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">Proba
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tur, quia debet tantùm inuerti linea prioris ſcilicet mixti ex duobus re
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tardatis; </
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>
<
s
id
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">ſi enim à puncto F pellatur per FE, FH, motu accelerato, ita
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primo, tempori reſpondeat FM, FN, ſecundo NH, ME; </
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<
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id
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">haud dubiè li
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nea motus mixti erit FA; nam primò tempori reſpondebit FG, & duo
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bus FA, vt conſtat ex dictis, ſiue vterque impetus ſit æqualis, ſiue alter
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maior altero. </
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Corollarium
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type
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1.
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</
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<
p
id
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<
s
id
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">Hinc etiam linea motus mixti ex duobus acceleratis eſt diagonalis,
<
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vt iam ſuprà dictum eſt de omnibus aliis. </
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Scholium.
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<
p
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type
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<
s
id
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">Obſeruabis hunc motum dari in rerum natura ſaltem in corporibus
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ſublunaribus; nec enim eſt acceleratus niſi ſit motus naturalis, qui à
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duplici impetu eſſe non poteſt. </
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