Fabri, Honoré, Tractatus physicus de motu locali, 1646

List of thumbnails

< >
1
1 		2
2
3
3 		4
4
5
5 		6
6
7
7 		8
8
9
9 		10
10
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N15AC3">
            <p id="N164CF" type="main">
              <s id="N164D1">
                <pb pagenum="85" xlink:href="026/01/117.jpg"/>
              corpora grauia motu naturali accelerato deorſum ferantur; </s>
              <s id="N164DA">ſi enim motu
                <lb/>
              ferrentur æquabili, vel eſſet æqualis illi quem initio ſui deſcenſus ha­
                <lb/>
              bent, qui eſt tardiſſimus, vt conſtat ex ipſa ictuum differentia; </s>
              <s id="N164E2">atque
                <lb/>
              ita infinitum ferè tempus ponerent grauia in minimo etiam deſcenſu,
                <lb/>
              quod eſſet maximè incommodum; ſi verò motus ille eſſet æqualis mo­
                <lb/>
              tui v.g. quem acquiſiuit in ſpatio 3. vel 4. perticarum, pondera corpo­
                <lb/>
              rum creſcerent in immenſum, ideſt in ea proportione, qua ictus, qui in­
                <lb/>
              fligitur à corpore graui confecto 4. perticarum ſpatio maior eſt ictu, qui
                <lb/>
              infligitur poſt decurſum minimum omnium ſpatiorum, quod valdè in­
                <lb/>
              commodum eſſet. </s>
            </p>
            <p id="N164F6" type="main">
              <s id="N164F8">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              17.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N16504" type="main">
              <s id="N16506">
                <emph type="italics"/>
              Æqualibus temporibus æqualis impetus producitur, ſi ſit eadem applica­
                <lb/>
              tio, idemque impedimentum
                <emph.end type="italics"/>
              ; </s>
              <s id="N16511">probatur, quia cauſa huius impetus eſt ne­
                <lb/>
              ceſſaria; ſed eadem cauſa neceſſaria æqualibus temporibus æqualem
                <lb/>
              impetum producit per Ax.3. </s>
            </p>
            <p id="N16519" type="main">
              <s id="N1651B">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              18.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N16527" type="main">
              <s id="N16529">
                <emph type="italics"/>
              Qua proportione creſcit impetus acceleratur motus
                <emph.end type="italics"/>
              ; quia quæ proportio­
                <lb/>
              ne creſcit cauſa, etiam creſcit effectus per Ax.2. </s>
            </p>
            <p id="N16534" type="main">
              <s id="N16536">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              19.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N16542" type="main">
              <s id="N16544">
                <emph type="italics"/>
              Hinc æqualibus temporibus in deſcenſu corpus graue acquirit aqualia ve­
                <lb/>
              locitatis, vel accelerationis momenta
                <emph.end type="italics"/>
              ; </s>
              <s id="N1654F">hoc ipſum eſt quod definitionis lo­
                <lb/>
              co Galileus in dialogo tertio de motu naturali aſſumit; </s>
              <s id="N16555">quod tamen
                <lb/>
              meo iudicio fuit antè demonſtrandum quàm ſupponendum; quare ſic
                <lb/>
              demonſtramus, quâ proportione creſcit impetus, creſcit motus per Th.
                <lb/>
              18. ſed temporibus æqualibus acquiruntur æquales impetus gradus per
                <lb/>
              Th.17. igitur æqualia velocitatis momenta, vel incrementa. </s>
            </p>
            <p id="N16562" type="main">
              <s id="N16564">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              20.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N16570" type="main">
              <s id="N16572">
                <emph type="italics"/>
              Spatia que per curruntur motu æquabili æqualibus temporibus ſunt æqualia
                <emph.end type="italics"/>
              ;
                <lb/>
              Probatur per Def.2. </s>
            </p>
            <p id="N1657D" type="main">
              <s id="N1657F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              21.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1658B" type="main">
              <s id="N1658D">
                <emph type="italics"/>
              Duo motus æquabiles, qui durant æqualibus temporibus, ſunt vt ſpatia
                <emph.end type="italics"/>
              ;
                <lb/>
              patet; </s>
              <s id="N16598">cùm enim impetus ſint vt motus per Ax. 2. motus ſunt vt ſpatia;
                <lb/>
              quippe vt ex impetu ſequitur motus, ita ex motu confectum ſpa­
                <lb/>
              tium. </s>
            </p>
            <p id="N165A0" type="main">
              <s id="N165A2">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              22.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N165AE" type="main">
              <s id="N165B0">
                <emph type="italics"/>
              Duo motus æquabiles, quibus percurruntur ſpatia æqualia ſunt vt tempora
                <lb/>
              permutande
                <emph.end type="italics"/>
              ;, patet, quia velocior eſt, quò percurritur ſpatium æquale
                <lb/>
              minori tempore per Def.2. l. 1. Igitur eò velocior, quò minori tem­
                <lb/>
              pore. </s>
            </p>
            <p id="N165C0" type="main">
              <s id="N165C2">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              23.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N165CE" type="main">
              <s id="N165D0">
                <emph type="italics"/>
              Spatium, quod percurritur maiori tempore motu æquabili, est maius eo,
                <lb/>
              quod percurritur minori æquè veloci motu in ea ratione, qua vnum tempus
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum