Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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QVÆSTIO XXIII.
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De Rhombo.
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262</
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">Rhombus ex definitione 23. primi Elem. eſt figura æquilatera qui
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dem, ſed non æquiangula, habet enim
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binos oppoſitos angulos acutos, & alies
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binos oppoſitos obtuſos, talis eſt præ
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ſens figura A B D C. </
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">In præſenti porrò quæſtione
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ſupponitur punctum A, quod eſt vnum extremum
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in rhombo moueri ſuper latus A B, verſus B, & ſi
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militer interim æqua velocitate moueri alterum
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extremum B, ſuper idem latus A B, verſus A, & in
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terim dum hæc duo puncta hoc modo ſibi obuiam
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procedunt, moueri latus totum A B, eadem ve
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locitate, verſus latus C D, ita vt ſemper ipſi C D,
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æquidiſter,
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deſcendatq́
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; per latera A C, B D, quo
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uſque ipſi C D, congruat.</
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">Horum igitur trium motuum quemadmodum
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æquæ ſunt celeritates, ita etiam ſpatia, quibus peraguntur, nam puncta duo
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mouentur in latere A B, ipſum verò A B, mouetur in lateribus A C, & B D,
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quæ cum priori A B, ſunt æqualia.</
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">Aduertendum præterea, quod hac ratione duo puncta A, & B, duabus la
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tionibus mouebuntur, ſi quidem proprio motu
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mouẽtur
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in ipſo latere A B,
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& quia latus A B, per quod ipſa incedunt eodem tempore mouetur verſus
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C D, ſequitur, quod etiam ipſa hoc eodem motu ferantur. </
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<
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">erit igitur ipſo
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rum motus ex his duobus mixtus; & quidem ipſius A, latio erit per longio
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rem diametrum A D; ipſius verò B, per breuiorem B C. </
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id
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">Quare cum pun
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ctum A, peruenerit ad D, etiam punctum B, eadem cęleritate acceſſerit ad
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C. maius autem eſt ſpatium A D, quod confecit A, quam ſpatium B C, con
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fectum a C. </
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">Quærit igitur primò, cur cùm A, & B, mota ſint æquali celeri
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tate in vtra que latione, vnum tamen maiorem lineam, quàm alterum per
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tranſiuit? </
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id
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">Quærit ſecundò, cur punctum B, confecit lineam B C, quæ mi
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nor eſt quam ipſum latus A C, quod in ſuo motu conficit latus A B, quando
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ad D C, acceſſit. </
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">& tamen B, duplici fertur latione; A B, verò vnica; vtrun
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que autem in æquali velocitate? </
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">Quod autem punctus A, motu illo deſcri
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bat lineam A D, punctus verò B. lineam B C, manifeſtum erit hoc modo. </
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v. g. punctum A, motu proprio delatum,
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vſq;
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ad punctum E, medium late
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ris A B, erit interim totum latus A B, tranſlatum vbi eſt F G, hoc eſt, ad ſui
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itineris dimidium, quia horum motus ponuntur æquales: hoc autem motu
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ipſum punctum A, erit neceſſariò in K, hoc eſt in linea A D, vt dicebamus.
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<
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">Similiter in fine
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vtriuſq;
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motus, A, erit in B, proprio motu, ſed alieno in D,
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extremo ſcilicet lineæ A D. ſimili ratione oſtendi poteſt de ipſo B, qui cum
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æqua velocitate moueatur, ac punctum A, quando A erit in E; B, pariter
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illi occurret in E, proprio motu: ſed alieno à latere B A, proueniente </
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