Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <pb pagenum="42" xlink:href="026/01/074.jpg"/>
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              <s id="N13BA8">
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              Corollarium
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              5.
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              </s>
            </p>
            <p id="N13BB5" type="main">
              <s id="N13BB7">Ex dictis etiam colliges diuerſas percuſſionum rationes ſuppoſita di­
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              uerſa ratione ponderum globi percutientis, & percuſſi; </s>
              <s id="N13BBD">cum enim impe­
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              tus productus ſit æqualis per ſe impetui producenti, per Th.60. modò
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              debita fiat applicatio, de qua in Th.50. ſi percutiens ſit duplus percuſſi,
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              ſuppoſita eadem materia, motus percuſſi erit duplò velocior; quia im­
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              petus erit duplò intenſior, vt conſtat ex Th. 61. ſi verò ſit quadruplus,
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              quadruplo, &c. </s>
              <s id="N13BCB">Igitur velocitates motuum ſunt in ratiòne ponderum
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              permutando. </s>
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            <p id="N13BD0" type="main">
              <s id="N13BD2">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              68.
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              </s>
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            <p id="N13BDE" type="main">
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              Si corpus percuſſum ſit oblongum, & percuſſio fiat in centro grauitatis eiuſ­
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              dem corporis; </s>
              <s id="N13BE8">producitur impetus in percuſſio æqualis impetui percutientis
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              ; </s>
              <s id="N13BEF">ſed
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              opus eſt aliqua figura: </s>
              <s id="N13BF5">Sit corpus AD, parallelipedum; </s>
              <s id="N13BF9">diuidatur æqua­
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              liter in E ita vt E ſit centrum grauitatis; </s>
              <s id="N13BFF">ſi percuſſio fiatin E per lineam
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              perpendicularem HE, producetur impetus in corpore AD æqualis im­
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              petui corporis percutientis; </s>
              <s id="N13C07">quia ſcilicet à corpore AD non poteſt maius
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              eſſe impedimentum; igitur agit quantùm poteſt impetus corporis per­
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              cutientis per Th.50. igitur producit æqualem per Th.69. </s>
            </p>
            <p id="N13C0F" type="main">
              <s id="N13C11">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              69.
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              </s>
            </p>
            <p id="N13C1D" type="main">
              <s id="N13C1F">
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              Si percuſſio fiat in
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              F
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              per lineam perpendicularem
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              IF,
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              minus erit impedi­
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              mentum, quàm per
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              HE, Quia ſi per HE, moueri tantùm poteſt motu
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              recto, ſi per IF, etiam motu circulari circa aliquod centrum; </s>
              <s id="N13C38">ſed hic
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              motus eſt facilior quam ille; </s>
              <s id="N13C3E">igitur minus eſt impedimentum; </s>
              <s id="N13C42">(ſuppono
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              autem cylindrum BC vtroque modo moueri poſſe ab applicata potentia)
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              igitur minùs impetus producitur, ſi percuſſio fiat per IF, quàm ſi fiat
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              per LK: </s>
              <s id="N13C4C">In qua verò proportione ſit minus impedimentum, & minori
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              opus impetu, poſito eodem potentiæ niſu, determinabimus facilè aliàs;
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              vt etiam demonſtrabimus circa quod centrum hic circularis motus fieri
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              debeat. </s>
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            <p id="N13C56" type="main">
              <s id="N13C58">
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              Scholium.
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                <emph.end type="center"/>
              </s>
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            <p id="N13C64" type="main">
              <s id="N13C66">Ex duobus capitibus minus eſſe poteſt impedimentum; </s>
              <s id="N13C6A">primum eſt,
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              quod petitur à puncto contactus, ſecundum à linea incidentiæ; </s>
              <s id="N13C70">v. g. ſi
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              accipiatur punctum E, in quo eſt centrum grauitatis corporis AD, & in
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              eo fiat percuſſio; </s>
              <s id="N13C7C">maximum eſt impedimentum ratione puncti conta­
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              ctus, in quo fit percuſſio; </s>
              <s id="N13C82">ſi verò percuſſio fiat per lineam perpendicu­
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              larem HE, maximum eſt impedimentum, ratione lineæ; </s>
              <s id="N13C88">ſi autem ex
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              vtroque capite ſimul accidat impedimentum, maximum eſt omnium; </s>
              <s id="N13C8E">
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              iam verò ſi accipiatur punctum E, & linea percuſsionis ME; </s>
              <s id="N13C93">minor eſt
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              percuſsio ratione lineæ non puncti; </s>
              <s id="N13C99">accipiatur punctum N, & linea
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              percuſsionis MN, minor eſt percuſsio ratione puncti non lineæ, acci­
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              piatur punctum N, & linea IN, minor eſt percuſsio ratione vtriuſque; </s>
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              ſi demum accipiatur punctum E, & linea ME, minor eſt percuſsio ra­</s>
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