Ceva, Giovanni, Geometria motus, 1692

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              <s id="s.000101">
                <pb pagenum="8" xlink:href="022/01/014.jpg"/>
              pora per AB, AK iuxta ipſa imagines. </s>
              <s id="s.000102">Vel enim hæ ima­
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              gines ſunt ſimplices, hoc eſt tantùm parallelogrammę, aut
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              tantùm acuminatæ, & tunc ſupra oſtendimus propoſitum,
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              quemadmodum etiam ſi vna acuminata, altera parallelo­
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              gramma; vel non ſunt huiuſmodi & componentur ex illis.
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                <arrow.to.target n="marg18"/>
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              Sint ergo in imagine ADFB partes ab æquidiſtantibus di­
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              ſtinctæ ADEN, OFB acuminatæ & NEFO paralellogram-
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                <arrow.to.target n="marg19"/>
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              mum, erunt hæ procul dubio inter ſe, totique imagini ho­
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              mogeneæ; ſint pariter in alia imagine partes GHCM,
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              MCKL, per æquidiſtantem MC diſtinctæ inter ſe acumi­
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                <arrow.to.target n="marg20"/>
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              natæ, quæ itidem inter ſe, & imagini, cuius ſunt partes, ho­
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              mogeneæ erunt. </s>
              <s id="s.000103">His acceptis, quoniam tempus per AN
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                <arrow.to.target n="marg21"/>
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              iuxta imaginem ADEN acuminatam ad tempus per HC
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              iuxta aliam imaginem item acuminatam HGMC, habet
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              eandem rationem, ac imago ADEN ad
                <expan abbr="imaginẽ">imaginem</expan>
              GHCM.
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              ſimiliter tempus per HC iuxta imaginem GHCM ad tem­
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              pus per CK iuxta imaginem acuminatam MCKL eſt vt
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              illa ad hanc imaginem; componendo, inde per conuerſio­
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              nem rationis, & conuertendo, tempus per HC ſecundùm
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              imaginem GHCM ad tempora ſimul per HC, CK,
                <expan abbr="quorũ">quorum</expan>
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              imagines GHCM, MCKL, hoc eſt ad tempus per HK iux­
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              ta imaginem GHKL habebit
                <expan abbr="eãdem">eandem</expan>
              rationem, quam ima­
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              go GHCM ad imaginem GHCL; & ideo ex æquali tem­
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              pus per AN, cuius imago ADEN, ad tempus per HK, iux­
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              ta imaginem GHKL, erit in eadem ratione, in qua eſt ima­
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              go ADEN ad imaginem GHKL. </s>
              <s id="s.000104">Præterea tempus per
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              AN iuxta imaginem ADEN ad idem ipſum tempus habet
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              eandem rationem, quam imago ADEN ad eandem ipſam;
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              tempus per NO iuxta imaginem rectangulum NEPO ad
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              tempus prædictum per AN eſt in eadem ratione
                <expan abbr="imaginũ">imaginum</expan>
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              NEPO ad ADEN, & ſimiliter tempus per OB iuxta ima­
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              ginem OPFB habet ad tempus per AN eandem rationem,
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              ac imago OPFB ad imaginem ſæpè dictam ADEN;
                <expan abbr="itaq;">itaque</expan>
              ex
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              lem. 18. Toric. in lib. de dim: parabolæ, erunt tria
                <expan abbr="tẽpora">tempora</expan>
              per </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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