Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N19109">
            <pb pagenum="141" xlink:href="026/01/173.jpg"/>
            <p id="N19886" type="main">
              <s id="N19888">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              31.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N19894" type="main">
              <s id="N19896">
                <emph type="italics"/>
              Hinc primo inſtanti motus violenti deſtruitur minor gradus impetus quàm
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              ſecundo,
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              quod demonſtro; </s>
              <s id="N198A1">quia eadem cauſa breuiore tempore minùs agit
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              per Ax.3.l.2. & Ax. 13.l.1. num.4. igitur minùs impetus deſtruitur pri­
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              mo, quàm ſecundo, & minùs ſecundo quàm tertio, atque ita deinceps;
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              idem enim dici debet de cauſa deſtructiua, quod de productiua. </s>
            </p>
            <p id="N198AB" type="main">
              <s id="N198AD">Dices, igitur idem impetus deſtruitur primo inſtanti, quo eſt, ſi deſtrui­
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              tur primo inſtanti motus. </s>
              <s id="N198B2">Reſpondeo negando; quia primo inſtanti, quo
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              eſt impetus, non eſt motus per Th.34.l.1. </s>
            </p>
            <p id="N198B8" type="main">
              <s id="N198BA">Dices, igitur impetus ille eſt fruſtrà, quia nullus effectus, ſeu motus
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              ex eo ſequitur; Reſpondeo negando; nam omnes gradus impetus qui ei­
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              dem parti mobilis inſunt, communi quaſi actione, vel exigentia indi­
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              uiſibiliter exigunt motum. </s>
            </p>
            <p id="N198C4" type="main">
              <s id="N198C6">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              32.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N198D2" type="main">
              <s id="N198D4">
                <emph type="italics"/>
              Hinc gradus omnes producti in eadem parte ſubiecti ſunt inæquales in­
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              perfectione
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              ; </s>
              <s id="N198DF">cum enim ſinguli ſingulis inſtantibus deſtruantur, vt dictum
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              eſt; quippe eſt tantùm vnus gradus impetus innati, & cum ſingula in­
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              ſtantia ſint inæqualia, etiam ſinguli gradus illius impetus ſunt inæquales
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              in perfectione. </s>
            </p>
            <p id="N198E9" type="main">
              <s id="N198EB">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              33.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N198F7" type="main">
              <s id="N198F9">
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              Hinc redditur optima ratio, cur tot producantur potiùs quàm plures, quæ
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              alioquin minimè afferri poteſt
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              ; </s>
              <s id="N19904">immò, niſi hoc eſſet, nulla eſſet huiuſmodi
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              naturalis retardatio; nam producantur, ſi fieri poteſt, omnes æquales, ſint­
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              que v.g.20. nunquid poſſunt eſſe 40. perfectionis ſubduplæ, vel 10. du­
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              plæ, vel 5. quadruplæ &c. </s>
              <s id="N1990E">cur autem potiùs vnum dices quàm aliud? </s>
              <s id="N19911">at
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              verò optimam inde reddo rationem quòd cum ſint omnes inæquales, cò
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              plures ſunt, quò maior eſt niſus; pauciores verò, quò minor. </s>
            </p>
            <p id="N19919" type="main">
              <s id="N1991B">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              34.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N19927" type="main">
              <s id="N19929">
                <emph type="italics"/>
              Hinc ſunt inæquales in eâdem proportione, in quæ inſtantia ſunt inæqualia
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                <lb/>
              v. </s>
              <s id="N19932">g. quà proportione primum inſtans eſt minus ſecundo, & ſecundum
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              tertio, ita ille gradus impetus, qui deſtruitur primo inſtanti, eſt minor
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              vel imperfectior co, qui deſtruitur ſecundo, & qui deſtruitur ſecundo
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              imperfectior co, qui deſtruitur tertio, atque ita deinceps. </s>
            </p>
            <p id="N1993D" type="main">
              <s id="N1993F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              35.
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              </s>
            </p>
            <p id="N1994B" type="main">
              <s id="N1994D">
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              Hinc perfectiſſimus omnium graduum ille eſt qui deſtruitur vltimo inſtan­
                <lb/>
              ti, de quo infrá
                <emph.end type="italics"/>
              ; </s>
              <s id="N19958">quod ſequitur ex dictis neceſſariò: vtrùm verò ille ſit æ­
                <lb/>
              qualis omninò in perfectione impetui naturali innato, dicemus
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              infrà. </s>
            </p>
            <p id="N19960" type="main">
              <s id="N19962">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1996E" type="main">
              <s id="N19970">Hic obſeruabis mirabilem ſanæ naturæ prouidentiam, quæ motus
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              omnes cum ipſo naturali ita compoſuit, vt ſit veluti regula omnium mo­
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              tuum, ſitque vnum quaſi principium perfectionis totius impetus; </s>
              <s id="N19978">tùm in </s>
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