Fabri, Honoré, Tractatus physicus de motu locali, 1646

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        <body>
          <chap id="N15AC3">
            <p id="N16D2F" type="main">
              <s id="N16D42">
                <pb pagenum="94" xlink:href="026/01/126.jpg"/>
              pla illius, quæ ſit poſt vnum inſtans motus, & quæ fit poſt tria tripla, poſt
                <lb/>
              4. quadrupla, atque ita deinceps; cùm enim æqualibus temporibus æqua­
                <lb/>
              lia acquirantur velocitatis momenta, id eſt æquales impetus, impetus
                <lb/>
              erunt vt tempora, percuſſiones vt impetus, igitur percuſſiones vt tem­
                <lb/>
              pora. </s>
            </p>
            <p id="N16D55" type="main">
              <s id="N16D57">Dixi in primo inſtanti contactus; nam reuerâ ſecundò inſtanti con­
                <lb/>
              tactus, niſi fiat reflexio, augetur vis ictus, quia cauſa neceſſaria eſt ap­
                <lb/>
              plicata. </s>
            </p>
            <p id="N16D5F" type="main">
              <s id="N16D61">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              55.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N16D6D" type="main">
              <s id="N16D6F">
                <emph type="italics"/>
              Hinc poſſunt comparari duæ percuſſiones duorum grauium inæqualium
                <lb/>
              dum cadunt deorſum
                <emph.end type="italics"/>
              ; </s>
              <s id="N16D7A">ſi enim cadunt æqualibus temporibus, percuſſio­
                <lb/>
              nes erunt vt corpora ſeu grauitates, vt patet v.g. corpus 2. librarum poſt
                <lb/>
              2. inſtantia motus infligit duplam percuſſionem illius, quam infligit cor­
                <lb/>
              pus vnius libræ poſt 2. inſtantia motus; </s>
              <s id="N16D86">ſi verò tempora motus ſunt inæ­
                <lb/>
              qualia, & grauitates æquales, percuſſiones erunt vt tempora; </s>
              <s id="N16D8C">ſi demum
                <lb/>
              grauitates inæquales, & tempora motus inæqualia, percuſſiones erunt
                <lb/>
              in ratione compoſita ex ratione grauitatum & temporum, quæ omnia
                <lb/>
              patent ex dictis in Th. ſuperioribus, v. g. ſit corpus duarum librarum,
                <lb/>
              & alterum trium librarum; </s>
              <s id="N16D9C">primum moueatur per 5. inſtantia, & ſecun­
                <lb/>
              dum 2.per 5. ratio grauitatum eſt 3/2; </s>
              <s id="N16DA2">ratio temporum eſt 7/5; </s>
              <s id="N16DA6">compoſita
                <lb/>
              ex vtraque erit (21/10); & hæc eſt ratio percuſſionum. </s>
            </p>
            <p id="N16DAC" type="main">
              <s id="N16DAE">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              56.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N16DBA" type="main">
              <s id="N16DBC">
                <emph type="italics"/>
              Hinc poteſt ſciri ratio percuſſionis. </s>
              <s id="N16DC1">& grauitationis eiuſdem mobilis in pri­
                <lb/>
              mo inſtanti vtriuſque, ſi cognoſcatur numerus inſtantium motus
                <emph.end type="italics"/>
              ; </s>
              <s id="N16DCA">cum enim
                <lb/>
              ſingulis inſtantibus æqualis impetus accedat, vt ſæpè dictum eſt; </s>
              <s id="N16DD0">certè
                <lb/>
              erit percuſſio ad grauitationem, vt numerus inſtantium motus ad vnita­
                <lb/>
              tem, v.g. grauitatio ſit vt 4.ſitq́ue motus eiuſdem corporis per 8. inſtan­
                <lb/>
              tia; percuſſio erit ad grauitationem, vt 32. ad 4.vel vt 8.ad 1.quæ om­
                <lb/>
              nia conſtant ex dictis. </s>
            </p>
            <p id="N16DDE" type="main">
              <s id="N16DE0">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              57.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N16DEC" type="main">
              <s id="N16DEE">
                <emph type="italics"/>
              Hinc data percuſſione, ſi cognoſceretur probè numerus inſtantium motus,
                <lb/>
              dari poſſet grauitatio ipſi æqualis
                <emph.end type="italics"/>
              ; </s>
              <s id="N16DF9">v.g. ſit percuſſio dati corporis cadentis
                <lb/>
              per 8.inſtantia, eius percuſſio eſt octupla grauitationis eiuſdem per Th.
                <lb/>
              56. igitur ſi detur grauitatio octupla huius, erit æqualis datæ percuſ­
                <lb/>
              ſioni; dabitur autem grauitatio octupla, ſi detur corpus eiuſdem mate­
                <lb/>
              riæ octuplò grauius, vt conſtat. </s>
            </p>
            <p id="N16E08" type="main">
              <s id="N16E0A">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              38.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N16E16" type="main">
              <s id="N16E18">
                <emph type="italics"/>
              Hinc primo inſtanti grauitationis nullum ferè ſentitur pondus,
                <emph.end type="italics"/>
              quia mini­
                <lb/>
              ma vis eſt, quæ conſequentibus inſtantibus augetur, hinc licèt corpus
                <lb/>
              breui tempore quis ſuſtineat, paulò poſt tamen ponderi cedit, ratio eſt
                <lb/>
              clara ex dictis. </s>
            </p>
          </chap>
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