Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <p id="N17BE7" type="main">
              <s id="N17C33">
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              quæ 3° inſtanti, & 4° plùs agat
                <expan abbr="quã">quam</expan>
              primo, & ſecundo; </s>
              <s id="N17C40">igitur eſt peculiaris
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              cauſa huius inæqualitatis rationum; </s>
              <s id="N17C46">quòd ſcilicet æqualibus temporibus
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              æqualia acquirantur velocitatis momenta; vt ſuprà demonſtrauimus; </s>
              <s id="N17C4C">
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              quippe id præſtari debet in explicandis inæqualitatibus motuum recto­
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              rum naturalium, quod præſtant Aſtronomi in explicanda inæqualitate
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              motuum cæleſtium; qui ſemper æqualitatem aliquam ſupponunt, nec eſt
                <lb/>
              quòd hanc ſententiam nonnullis experimentis ictuum quiſquam con­
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              firmet, in quibus multa fraus ſubeſſe poteſt. </s>
            </p>
            <p id="N17C59" type="main">
              <s id="N17C5B">Tertiò reiicitur illa quoque ſententia, quæ proportionem lineæ ſectæ
                <lb/>
              in mediam, & extremam rationem huic lineæ tribuit, quam ferè in his
                <lb/>
              numeris vides 1.2.3.5.8, 13. 21. 34. 55. quæ ſub finem etiam longiſſimè
                <lb/>
              aberrat, vt videre eſt, quare iiſdem rationibus impugnatur, quibus iam
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              aliam impugnauimus. </s>
            </p>
            <p id="N17C66" type="main">
              <s id="N17C68">Scio eſſe alias multas rationes, quibus aliqui recentiores motus natu­
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              ralis accelerationem explicare nituntur, ſed iam ſuprà ſatis ſuperque re­
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              iectæ fuerunt, vel profectò eæ ſunt, quæ ne quidem inter fabuloſa poë­
                <lb/>
              tarum commenta locum aliquem habere poſſint: </s>
              <s id="N17C72">Et verò niſi me ani­
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              mus fallit in re clariſſima, rationem huius effectus ex communibus
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              principiis deductam cum ipſis etiam experimentis conſentire hactenus
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              ita demonſtrauimus, vt iam vix vllus dubitationi locus relinquatur; ſed
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              interruptam Theorematum ſeriem tandem repetimus. </s>
            </p>
            <p id="N17C7E" type="main">
              <s id="N17C80">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              62.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N17C8C" type="main">
              <s id="N17C8E">
                <emph type="italics"/>
              Si accipiantur ſpatia æqualia primo ſpatio, quod vno inſtanti percurritur,
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              inſtantia ſunt inæqualia in motu natur aliter accelerato
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              ; </s>
              <s id="N17C99">probatur, quia ſe­
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              cundum ſpatium æquale primo percurritur motu velociore, quàm pri­
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              mo, & tertium quam ſecundo: </s>
              <s id="N17CA1">ergo minori tempore per Def.2.l.1. ſed
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              primum ſpatium conficitur vno inſtanti; </s>
              <s id="N17CA7">igitur ſecundum vno inſtanti,
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              ſed minore; idem dico de tertio. </s>
            </p>
            <p id="N17CAD" type="main">
              <s id="N17CAF">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              63.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N17CBB" type="main">
              <s id="N17CBD">
                <emph type="italics"/>
              In ea proportione decreſcunt hæc instantia,
                <emph.end type="italics"/>
              vt primum ſit maius ſecundo,
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              ſecundum tertio, tertium quarto, quartum quinto, quintum ſexto,
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              atque ita deinceps; ita vt ſecundum & tertium ſimul ſumpta, item quar­
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              tum, quintum, ſextum, ſeptimum, item octauum, nonum, decimum, ſimul
                <lb/>
              ſumpta adæquent primum, hoc eſt vt vnum, duo, tria, quatuor, quinque,
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              ſex, &c. </s>
              <s id="N17CD0">faciant ſemper tempora æqualia, quia temporibus æqualibus æ­
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              qualia acquiruntur velocitatis momenta? </s>
              <s id="N17CD5">igitur ſi primo inſtanti per­
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              curritur vnum ſpatium; </s>
              <s id="N17CDB">ſecundo tempore æquali percurruntur duo ſpa­
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              tia æqualia primo, & tertio, tria; atque deinceps; </s>
              <s id="N17CE1">ſed vt ſuprà dictum eſt
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              in reſponſ. ad obiect. primam, vno, &
                <expan abbr="eodẽ">eodem</expan>
              inſtanti non poteſt idem cor­
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              pus percurrere duo ſpatia, ne ſimul eſſet in duobus locis; </s>
              <s id="N17CED">igitur ſingula
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              ſpatia reſpondent ſingulis inſtantibus licèt minoribus; </s>
              <s id="N17CF3">ſed ſecundo tem­
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              pore æquali primo inſtanti percurruntur duo ſpatia æqualia primo ſpa­
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              tio; </s>
              <s id="N17CFB">igitur ſecundum, & tertium inſtans debent ſimul ſumpta adæquare </s>
            </p>
          </chap>
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