Fabri, Honoré, Tractatus physicus de motu locali, 1646

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        <front>
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            <p id="N10454" type="main">
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              nem duplicatam temporum, cùm creſcat ſecundùm proportionem
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              temporum, etïam ex mente Galilei: </s>
              <s id="N10460">creſcit autem velocitas, vt im­
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              petus; </s>
              <s id="N10466">effectus, ſcilicet, vt cauſa: </s>
              <s id="N1046A">idem dico de motu, ratione velo­
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              citatis; </s>
              <s id="N10470">quippe motus ipſe eſt ſua velocitas: at verò ipſa ſpatia,
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              quæ decurruntur illo motu, ſi conſideretur crementum in inſtan­
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              tibus, creſcunt iuxta progreſſionem arithmeticam ſimplicem,
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              id eſt, ſi primo inſtanti, acquiritur vnum ſpatium, ſecundo acquiri­
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              tur vnum ſpatium, ſecundo acquiruntur duo, tertio 3. quarto 4. at­
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              que ita deinceps. </s>
            </p>
            <p id="N1047E" type="main">
              <s id="N10480">4. Hoc autem facilè poteſt
                <expan abbr="demõſtrari">demonſtrari</expan>
              : </s>
              <s id="N10488">quia, cùm velocitas creſ­
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              cat iuxta proportionem temporum, ſi primo inſtanti ſit vnus gradus
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              velocitatis, ſecundo erunt duo, tertio tres, at que ita deinceps: </s>
              <s id="N10490">igitur,
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              ſi mobile cum vno gradu velocitatis acquirit vnum ſpatium, certè
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              cum duobus acquiret duo ſpatia, cum tribus tria, atque ita dein­
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              ceps: debet autem vera progreſſio crementorum aſſumi in ſingulis
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              inſtantibus, quia reuerà ſingulis inſtantibus phyſicis (nam de iis
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              loquor) noua fit huius crementi acceſſio. </s>
            </p>
            <p id="N1049E" type="main">
              <s id="N104A0">5. Quia tamen inſtantia non ſunt ſenſibilia, vt Phyſicæ conſu­
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              latur, quæ res ſenſibiles conſiderat, aſſumi debent partes temporis
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              ſenſibiles, in quibus reuerâ progreſſio ſpatiorum non eſt arithmeti­
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              ca ſimplex; ſed tam propè accedit ad hanc numerorum imparium,
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              1. 3. 5. 7. &c. </s>
              <s id="N104AC">quam Galileus excogitauit, vt ſine ſcrupulo hæc aſ­
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              ſumi poſſit: </s>
              <s id="N104B2">hinc ſpatia ſunt ferè vt temporum quadrata: dixi, ferè: </s>
              <s id="N104B6">
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              nam eſt paulò minor proportio, cùm tantùm finita ſint inſtantia
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              phyſica, quæ reuerà ſi infinita eſſent in qualibet temporis ſenſibilis
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              parte, haud dubiè ſpatia eſſent omninò in ratione duplicata tem­
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              porum: ſed, quia parum pro nihilo computatur, hanc progreſſio­
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              nem Galilei deinceps vſurpabimus in Phyſica. </s>
            </p>
            <p id="N104C4" type="main">
              <s id="N104C6">6. Hinc ratio euidens maioris ictus inflicti à corpore graui,
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              cùm ex maiori altitudine cadit. </s>
              <s id="N104CB">Sunt autem ictus, vt impetus;
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              impetus, vt tempora; hæc demum, vt radices ſpatiorum ſenſibi­
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              liter quæ omnia conſtant ex dictis. </s>
              <s id="N104D3">Impetus acquiſitus in deſcenſu
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              eſt ſemper imperfectior, ſi aſſumantur ſingula inſtantia, quæ reuerâ
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              ſunt ſemper minora; </s>
              <s id="N104DB">quia motus fit ſemper velocior: cùm graue
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              deſcendit in medio, quod reſiſtit, minùs accuratè ſeruantur prædi­
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              ctæ proportiones, quæ in vacuo modico accuratiſſimè ſeruaren­
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              tur. </s>
            </p>
            <p id="N104E5" type="main">
              <s id="N104E7">7. Reſiſtentia medij non eſt propter vllam formam improportio­
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              natam, quaſi verò impetus ſit forma improportionata aëri: </s>
              <s id="N104ED">ſed in </s>
            </p>
          </section>
        </front>
      </text>
    </archimedes>
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