Baliani, Giovanni Battista, De motu naturali gravium solidorum, 1638

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="076/01/010.jpg"/>
            <subchap1>
              <p>
                <s id="s.000046">3. Portiones minimae peripheriae Circuli concipiende
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                sunt, ac si essent lineae rectae.
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                </s>
              </p>
            </subchap1>
            <subchap1>
              <p>
                <s id="s.000047">Quaecumque arcus portio est circularis, attamen si est
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                minima portio, tam parum aberrat a linea recta, ut
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                non modo quo ad sensum, sed quoad quascunque physicas
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                passiones, perinde esse videatur, ac si esset linea recta, id-
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                circo ut petitionem admittendam censeo, quemadmodum in-
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                mechanicis admittitur illa, quod perpendiculares sunt paral-
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                lelae, etiamsi in centro concurrant universi, quatenus eisdem
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                sunt passionibus physicis subjectae, ac si vere essent parallelae.
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                </s>
              </p>
            </subchap1>
            <subchap1>
              <p>
                <s id="s.000048">4. Data recta linea, possimus concipere circulum talis
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                magnitudinis, cujus portio peripheriae aequalis quo
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                ad sensum datae lineae, concipienda sit, ac si esset
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                linea recta.
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                </s>
              </p>
            </subchap1>
            <subchap1>
              <p>
                <s id="s.000049">Haec petitio videtur concedenda, quia si concipiamus cir-
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                culum, ejusque portionem minimam, ut in praece-
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                denti, si fiat ut hujusmodi portio ad datam lineam, ita
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                circulus ad alium, portio hujus, datae lineae aequalis erit, &
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                similis omnino praedicta minimae portioni, & proinde pa-
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                riter concipienda ut linea recta.
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                </s>
              </p>
            </subchap1>
            <subchap1>
              <p>
                <s id="s.000050">5. Solida perpendicula libero motu aeque velociter
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                feruntur, & in tali proportione, ac si essent pendula,
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                & moverentur in priori portione vibrationum.
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                </s>
              </p>
            </subchap1>
            <subchap1>
              <p>
                <s id="s.000051">Quoniam prior portio non differt sensibiliter a recta, ut in
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                tertia petitione, nec etiamsi sit major ut in quarta, iisdem
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                physicis passionibus subjicitur, & exinde motibus aequalibus.
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                </s>
              </p>
            </subchap1>
            <subchap1>
              <p>
                <s id="s.000052">6. Solida naturaliter mota super plano inclinato aeque
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                velociter moventur ac si essent pendula, & moveren-
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                tur in tali portione vibrationum, quae quoad sensum
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                </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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