Fabri, Honoré, Tractatus physicus de motu locali, 1646

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        <front>
          <section>
            <p id="N107A6" type="main">
              <s id="N107B2">
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              culo: </s>
              <s id="N107BC">tempora, quibus percurruntur perpendiculum, & linea plani
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              inclinati, ſunt vt lineæ; ſpatia autem, quæ in prædictis lineis acqui­
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              runtur æqualibus temporibus, ſunt vt motus, id eſt, vt lineæ per­
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              mutando, vt patet ex dictis. </s>
            </p>
            <p id="N107C6" type="main">
              <s id="N107C8">4. Ex his concludo, neceſſariò per plana omnia eiuſdem altitu­
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              dinis acquiri eandem velocitatem, quantumuis aſſumantur longiſ­
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              ſima, modò ſcilicet perpendicula ſint ſemper parallela. </s>
              <s id="N107CF">Hinc habes
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              apud Galileum, per omnes chordas circuli erecti deſcenſum fieri
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              æqualibus temporibus. </s>
              <s id="N107D6">Vires, quæ ſuſtinent pondus in plano in­
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              clinato per lineam plano
                <expan abbr="parallelã">parallelam</expan>
              , ſunt ad eas, quæ ſuſtinent in per­
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              pendiculo, vt lineæ permutando; quia debent adæquare impetum,
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              qui producitur, tùm in plano inclinato, tùm in perpendiculo. </s>
            </p>
            <p id="N107E4" type="main">
              <s id="N107E6">5. Porrò minùs grauitat in ipſum planum inclinatum corpus gra­
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              ue, quàm in planum horizontale: </s>
              <s id="N107EC">eſt autem grauitatio in horizonta­
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              li, ſeu Tangente, ad grauitationem in inclinata, ſeu ſecante, vt ipſæ
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              lineæ permutando: quod facilè demonſtramus. </s>
              <s id="N107F4">Proiicitur mobile
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              faciliùs per inclinatum planum ſurſum, quàm per ipſam perpendi­
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              cularem: patet experientia: cuius ratio eſt, quia minùs reſiſtit im­
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              petus innatus, cuius minor eſt niſus per inclinatam, vt conſtat ex
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              dictis. </s>
            </p>
            <p id="N10800" type="main">
              <s id="N10802">6. Illæ vires, quæ ſufficiunt ad eum motum ſurſum in perpendi­
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              culo, ſufficiunt ad motum ſurſum in plano inclinato eiuſdem alti­
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              tudinis: </s>
              <s id="N1080A">quia illæ vires ſufficiunt ad aſcenſum, quæ acquiruntur in
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              toto deſcenſu: ſed in deſcenſu inclinatæ, & perpendiculi acquirun­
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              tur vires æquales, id eſt, velocitas æqualis, vt dictum eſt ſuprà. </s>
              <s id="N10812">Om­
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              nia puncta plani inclinati rectilinei, imò & horizontalis, ſunt di­
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              uerſæ inclinationis: in iis tamen planis inclinatis quæ vulgò aſſu­
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              muntur, non mutatur ſenſibiliter inclinatio. </s>
            </p>
            <p id="N1081C" type="main">
              <s id="N1081E">7. Hinc minùs deſtruitur impetus in plano inclinato ſurſum,
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              quàm in perpendiculo; </s>
              <s id="N10824">quia diutiùs durat: </s>
              <s id="N10828">cùm enim minùs ac­
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              quiratur in deſcenſu, vt dictum eſt, minùs etiam deſtruitur in aſ­
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              cenſu: </s>
              <s id="N10830">hinc accedit propriùs hic motus ad æquabilem: </s>
              <s id="N10834">in eodem
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              plano rectilineo poteſt eſſe aſcenſus, & deſcenſus, versùs eandem
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              partem: </s>
              <s id="N1083C">tale eſſet planum horizontale, in cuius vnico tantùm pun­
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              cto nulla eſt inclinatio: in quolibet puncto huius plani eſt ſingu­
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              laris inclinatio, vt patet, quæ eſt ad perpendiculum, vt Tangens ad
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              ſecantem éſtque eadem proportio motuum. </s>
            </p>
            <p id="N10846" type="main">
              <s id="N10848">8. Corpus graue in ſuperficie quadrantis caua, deorſum cadit
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              motu naturaliter accelerato; </s>
              <s id="N1084E">quia ſingulis inſtantibus accedit nouus </s>
            </p>
          </section>
        </front>
      </text>
    </archimedes>
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