Guevara, Giovanni di, In Aristotelis mechanicas commentarii, 1627

Table of figures

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              rectam lineam deſcribent: A quidem lineam AD, B verò
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              BC: quæ nimirum erunt diametri eiuſdem rhombi. </s>
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                <expan abbr="Cumq.">Cumque</expan>
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              in rhombo diametri non ſint æquales, ſed quæ obtuſis an­
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              gulis opponitur, vt AD maior ſit ea, quæ opponitur acutis,
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              vt BC: ſiquidem maius latus maiorem angulum ſubtendit
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              per 18. primi; hin c eſt, vt ex ipſis duobus punctis AB, dua­
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              bus lationibus eodem tempore,
                <expan abbr="eademq.">eademque</expan>
              velocitate pro­
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              motis, vnum quippe maius ſpatium, nempe maiorem dia­
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              metrum, alterum verò minus, ſeu minorem diametrum per­
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              currat. </s>
              <s id="N15F33">Quod mirum proculdubio omnibus cauſam igno­
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              rantibus videri ſolet. </s>
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              <s id="N15F3A">Verùm quod linea recta, quam deſcribere diximus pun­
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              ctum A, ſit ipsa diameter AD; quam verò punctum B,
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              ſit diameter BC, facilè demonſtratur ex eo. </s>
              <s id="N15F41">Nam ſi pun­
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              ctum A, proprio motu delatum fuerit exempli gratia vſque
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              ad punctum E medium ipſius lineæ AB, & linea tota
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              AB eodem tempore, æquale ſpatium pertranſierit verſus
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              CD, ita vt alterum eius extremum peruenerit ad punctum
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              F, medium lateris AC; alterum verò ad punctum G, me­
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              dium lateris BD: quoniam AF æqualis eſt ipſi AE, ſi com­
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              pleatur figura ſimilis toti, productis lineis EH, & FG per
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              punctum medium K, nempe rhombus AEKF, ſimilis
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              rhombo maiori ABCD per 24. ſexti elementorum; erit
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              recta FK æqualis oppoſitæ AE, & AF ipſi EK; proin­
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              deque punctum A cum duabus tranſlatum ſit lationibus
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              ſemper proportionalibus iuxta rationem æqualitatis; quam
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              latera rhomborum habent inter ſe, vtique tranſlatum erit
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              ſuper rectam AK in ipſum K, quod eſt punctum medium
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              diametri AD; Cuius reliquum dimidium conficiet, tum
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              ex motu ſuo ab E vſque ad B, tum ex alieno ab F vſque
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              ad C, ita vt tandem perueniat ad punctum D. </s>
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              <s id="N15F69">Eodem pacto, quod dictum eſt de puncto A, applica­
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              ri poteſt in puncto B. </s>
              <s id="N15F6E">Nam ſi hoc cum eadem velocitate
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              moueatur verſus A, ſicut linea AB verſus CD, quo tem­
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              pore per proprium motum percurriſſet vſque ad E, alieno
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              motu perueniſſet vſque ad G;
                <expan abbr="æqualesq.">æqualesque</expan>
              forent lineæ BE, </s>
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