Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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              <s id="N2A16B">
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              Theorema
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              26.
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            <p id="N2A177" type="main">
              <s id="N2A179">
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              Poteſt determinari centrum percuſſionis parallelipedi
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              ; </s>
              <s id="N2A182">ſit enim paralle­
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              lipedum MF quod voluatur circa MK; </s>
              <s id="N2A188">ſit rectangulum LE ſecans bifa­
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              riam æqualiter parallelipedum; </s>
              <s id="N2A18E">centrum percuſſionis erit in plano re­
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              ctanguli LE; </s>
              <s id="N2A194">ducatur LE, diagonalis; </s>
              <s id="N2A198">inueniatur centrum percuſſionis
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              rectanguli LE, per Th.23. ſitque N, v.g. ducatur NO, dico O eſſe cen­
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              trum percuſſionis quæſitum, ſcilicet exterius, vt patet ex dictis; </s>
              <s id="N2A1A2">poteſt
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              etiam determinari, ſi voluatur circa AC, vel circa PR, nam perinde
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              ſe habet prædictum parallelipedum, atque ipſum rectangulum; hoc verò
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              atque ipſum triangulum, in quo nulla prorſus eſt difficultas. </s>
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            <p id="N2A1AC" type="main">
              <s id="N2A1AE">Poteſt etiam determinari centrum percuſſionis cunei, id eſt ſemipa­
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              rallelipedi, ſiue circa MK, ſine circa IG voluatur; quæ omnia pa­
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              tent ex dictis. </s>
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            <p id="N2A1B6" type="main">
              <s id="N2A1B8">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              27.
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              </s>
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            <p id="N2A1C4" type="main">
              <s id="N2A1C6">
                <emph type="italics"/>
              Determinari
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              poteſt centrum percuſſionis ſolidi ABDE, ſi voluatur circa
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              axem IDH
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              ; </s>
              <s id="N2A1D7">nam motus puncti C eſt ad motum puncti E, vt DC ad
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              DE, vel vt BN æqualis DC ad LK æqualem ED; </s>
              <s id="N2A1DD">mouentur enim AC
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              B æquali motu; </s>
              <s id="N2A1E3">itaque perinde ſe habet prædictum ſolidum in ordine
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              ad percuſſionem, atque ſi eſſet ſolidum BMKLD; </s>
              <s id="N2A1E9">id eſt duplex pyra­
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              mis, ſcilicet DNMKL, & DMNBA, quarum centra grauitatis ſint
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              PQ, & commune vtriuſque ſit R iuxtam modum ſuprà poſitum; </s>
              <s id="N2A1F1">duca­
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              tur SR perpendicularis in RD: dico S eſſe centrum percuſſionis exte­
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              rius quæſitum, quod eodem modo probatur, quo ſuprà. </s>
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            <p id="N2A1F9" type="main">
              <s id="N2A1FB">
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              Corollarium.
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                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2A207" type="main">
              <s id="N2A209">Primò colligo inde, vbi ſit centrum percuſſionis cylindri, ſiue volua­
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              tur circa Tangentem baſis, ſiue circa diametrum eiuſdem; nam idem de
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              cylindro dicendum eſt, quod de parallelipedo dictum eſt Th.26. </s>
            </p>
            <p id="N2A211" type="main">
              <s id="N2A213">Secundò colligo, centrum percuſſionis coni; quippe vt ſe habet pyra­
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              mis ad priſma, ita ſe habet conus ad cylindrum. </s>
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              <s id="N2A21B">Tertiò, colligo centrum percuſſionis Pyramidis quando voluitur cir­
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              ca latus baſis per Th.27. </s>
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            <p id="N2A220" type="main">
              <s id="N2A222">Quartò, colligo centrum percuſſionis cylindri; cum voluitur circa
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              Tangentem parallelum axi per Th.22. </s>
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            <p id="N2A229" type="main">
              <s id="N2A22B">Quintò, colligo centrum grauitatis priſmatis, ſiue voluatur circa la­
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              tus baſis; </s>
              <s id="N2A231">tunc enim idem prorſus dicendum eſt, quod de parallelipedo; </s>
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              ſiue circa lineam parallelam axi; tunc enim centrum percuſſionis co­
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              gnoſcitur ex centro percuſſionis baſis cognito, ſi voluatur in circulo ſuo
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              plano parallelo per Cor. Th.22. </s>
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            <p id="N2A241" type="main">
              <s id="N2A243">Sextò denique, colligo centrum percuſſionis cuiuſlibet alterius
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              ſolidi, planis rectilineis contenti, quod ſcilicet in pyramides diui­
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              di poteſt. </s>
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