Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              <s id="N2A42A">
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              Theorema
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              33.
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            <p id="N2A436" type="main">
              <s id="N2A438">
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              Si voluatur prædictum planum circa baſim eo modo, quo dictum eſt Th.
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              12.
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              funependulum iſochronum continet
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              1/2
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              eiuſdem axis
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              ; quod eodem modo de­
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              monſtratur per Th.12. </s>
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            <p id="N2A450" type="main">
              <s id="N2A452">
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              Corollarium.
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            </p>
            <p id="N2A45E" type="main">
              <s id="N2A460">Colligo primò, cuilibet ſectori funependulum iſochronum poſſe aſſi­
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              gnari, quia cuiuſlibet ſectoris, qui voluitur circa angulum, eo modo
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              quo diximus Th.13. centrum percuſſionis determinatum eſt. </s>
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            <p id="N2A467" type="main">
              <s id="N2A469">Colligo ſecundò, ſi rotetur planum circulare, eo modo quo diximus
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              Th.21. funependuli iſochroni longitudinem continere 2/3 diametri eiuſ­
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              dem circuli, quia ibi eſt centrum percuſſionis eiuſdem circuli, per
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              Th. 21. </s>
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            <p id="N2A472" type="main">
              <s id="N2A474">Colligo tertiò, ſi rotetur planum circulare circa diametrum, etiam
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              poſſe determinari ex centro percuſſionis inuento, longitudinem fune­
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              penduli iſochroni, vt patet ex dictis. </s>
            </p>
            <p id="N2A47B" type="main">
              <s id="N2A47D">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              34.
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              </s>
            </p>
            <p id="N2A489" type="main">
              <s id="N2A48B">
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              Quando voluitur planum triangulare parallelum plano in quo voluitur,
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              determinari poteſt longitudo funependuli iſochroni
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              ; ſit enim AFH, cuius
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              centrum extrinſecum percuſſionis fit C, longitudo funependuli iſochro­
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              ni erit AC, quod eodem modo demonſtratur. </s>
            </p>
            <p id="N2A49A" type="main">
              <s id="N2A49C">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
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              </s>
            </p>
            <p id="N2A4A8" type="main">
              <s id="N2A4AA">Colligo primò, etiam determinari poſſe, quando ita voluitur vt latus
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              in quo fit percuſſio ſuſtineat angulum rectum, v.g. triangulum AGB
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              circumactum circa A, habet centrum percuſſionis in M; igitur AM eſt
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              longitudo funependuli iſochroni. </s>
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            <p id="N2A4B6" type="main">
              <s id="N2A4B8">Secundò, ſi voluatur circa angulum rectum; </s>
              <s id="N2A4BC">v.g. triangulum ABH
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              circa B, centrum percuſſionis eſt in E; igitur BE eſt longitudo funepen­
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              duli iſochroni. </s>
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            <p id="N2A4C6" type="main">
              <s id="N2A4C8">Tertiò, aliquando longitudo prædicta eſt minor latere, in quo fit
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              percuſſio, vt patet in exemplis adductis; </s>
              <s id="N2A4CE">aliquando eſt æqualis, vt in
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              triangulo ABD volutum circa A, nam centrum percuſſionis eſt D; </s>
              <s id="N2A4D4">igi­
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              tur longitudo funependuli iſochroni eſt AD; </s>
              <s id="N2A4DA">aliquando eſt maior, vt
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              videre eſt in triangulo ALG, quod voluitur circa A; nam longitudo fu­
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              nependuli iſochroni eſt AI, quæ eſt maior AL. </s>
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            <p id="N2A4E3" type="main">
              <s id="N2A4E5">Quartò, ſi coniungantur duo triangula v.g. EAS. ADS. voluan­
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              turque ſimul circa A, eo modo quo diximus ſcilicet parallela plano, in
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              quo voluuntur, longitudo iſochroni funependuli erit AF, poſito quòd
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              F ſit centrum percuſſionis, vt dictum eſt ſuprà Corol. 5. Th.19. </s>
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            <p id="N2A4F2" type="main">
              <s id="N2A4F4">Quintò, hinc vides rationem egregij experimenti, quod ſæpè Doctus
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              Merſennus propoſuit, ſcilicet longitudinem funependuli iſochroni eſſe
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              ferè quadruplam perpendicularis ductæ in baſim trianguli Iſoſcelis, li­
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              brati circa angulum verticis 150.grad. </s>
              <s id="N2A4FD">quod certè ad veritatem tam pro­
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              pè accedit ex geometrica calculatione, vt nullum prorſus diſcrimen </s>
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