Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

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              QVÆSTIO XXIII.
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              De Rhombo.
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              262</s>
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              <s id="s.003157">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. </s>
              <s id="s.003158">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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              ; per latera A C, B D, quo­
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              uſque ipſi C D, congruat.</s>
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              <s id="s.003159">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.</s>
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              <s id="s.003160">Aduertendum præterea, quod hac ratione duo puncta A, & B, duabus la­
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              tionibus mouebuntur, ſi quidem proprio motu
                <expan abbr="mouẽtur">mouentur</expan>
              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. </s>
              <s id="s.003161">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. </s>
              <s id="s.003162">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. </s>
              <s id="s.003163">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? </s>
              <s id="s.003164">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. </s>
              <s id="s.003165">& tamen B, duplici fertur latione; A B, verò vnica; vtrun­
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              que autem in æquali velocitate? </s>
              <s id="s.003166">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. </s>
              <s id="s.003167">ſit
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              v. g. punctum A, motu proprio delatum,
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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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              <s id="s.003168">Similiter in fine
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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 </s>
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