Marci of Kronland, Johannes Marcus, De proportione motus figurarum recti linearum et circuli quadratura ex motu, 1648

List of thumbnails

< >
41
41 		42
42
43
43 		44
44
45
45 		46
46
47
47 		48
48
49
49 		50
50
< >
page |< < of 145 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/139.jpg"/>
              tem ſerratio motus compoſitus ex inciſione & fractione. </s>
              <s>
                <expan abbr="Neq;">Neque</expan>
                <lb/>
              enim huius dentes aſperiuſculi inter ſe ſunt paralleli; ſed alter­
                <lb/>
              natim ad latus
                <expan abbr="utrinq;">utrinque</expan>
              reflexi: quò diviſio ex obliquo facta oc­
                <lb/>
              currat plagæ oppoſitæ. </s>
              <s>
                <expan abbr="Itaq;">Itaque</expan>
              partes quidem medias inciden­
                <lb/>
              do, partes verò laterales ſuâ aſperitate radendo auferunt:
                <expan abbr="eaq;">eaque</expan>
                <lb/>
              ratione vulneris labra, quo motum habeant liberiorem, adau­
                <lb/>
              gent. </s>
              <s>Inciſio enim ſimplex eſt diviſio continui
                <expan abbr="abſq;">abſque</expan>
              deper­
                <lb/>
              ditione alicuius particulæ: ut cùm pomum per medium ſeca­
                <lb/>
              mus. </s>
              <s>Differt à ſectione ſciſſura: quòd hæc ſit plaga continu­
                <lb/>
              ata; ſectio verò ſimplex & interrupta: quæ tamen ob
                <expan abbr="vehemẽ-tiam">vehemen­
                  <lb/>
                tiam</expan>
              excedere poteſt illam. </s>
              <s>
                <expan abbr="Vtraq;">Vtraque</expan>
              eſt ſolutio unionum, ſeu
                <lb/>
              diſcontinuatio cum aliquâ compreſſione: neceſſe enim quod
                <lb/>
              incidit recipi in
                <expan abbr="illãm">illamm</expan>
              plagam,
                <expan abbr="partésq;">partésque</expan>
              medias comprimi in la­
                <lb/>
              tus
                <expan abbr="utrumq;">utrumque</expan>
              . </s>
              <s>Corpus ſerratile eſt
                <foreign lang="grc">χαταχτὸν
                  <gap/>
                χαὶ θζαυσὸν</foreign>
                <expan abbr="neq;">neque</expan>
              enim
                <lb/>
              lapides, vitrum, gemmæ ſerrantur. </s>
              <s>Nam ſerra, quâ gemmæ
                <lb/>
              mediâ arenâ ſecantur, quia dentibus caret, non niſi impropriè
                <lb/>
              dicitur. </s>
              <s>Igitur lignis in hunc modum ſerrâ
                <expan abbr="atq;">atque</expan>
              ſecuri diviſis,
                <lb/>
              aut cultro inciſis aſcia ſuccedit: quâ ſuperficies aſpera & inæ­
                <lb/>
              qualis aufertur. </s>
              <s>
                <expan abbr="Eſtq;">Eſtque</expan>
              huius motus idem cum inciſione; ma­
                <lb/>
              gis tamen limitatus, ad menſuram ferri inciſorij ab eâ promi­
                <lb/>
              nentis. </s>
              <s>Non enim profundiùs agitur plaga, quàm ſit illa fer­
                <lb/>
              ri longitudo: quæ contrahi & augeri pro libitu poteſt. </s>
              <s>Im­
                <lb/>
              pulſum verò habet fluentem: cùm ſit
                <foreign lang="grc">χίνησις ἀπὸ τη̄ς ἅψ
                  <gap/>
                ως</foreign>
              :
                <lb/>
              quam aſcia manu librata dirigit, impulſum cohibens, quò mi­
                <lb/>
              nùs latè evagetur. </s>
              <s>Vnde maioribus aſcijs utuntur in politu­
                <lb/>
              râ: quò maior compreſſio à pondere, & à parte huius planâ &
                <lb/>
              politâ levigatio ſimul fiat. </s>
              <s>Huic ſimilis videtur motus à tor­
                <lb/>
              no factus: idem enim eſt ſeu ferrum incidens, ſeu corpus inci­
                <lb/>
              dendum moveatur. </s>
              <s>Eſt ergo manus veluti aſcia, quæ fulcro
                <lb/>
              innixa aciem ferri pro voto inciſuræ libratam ſuſtinet: Velo­
                <lb/>
              cior tamen huius, quàm aſciæ motus
                <expan abbr="atq;">atque</expan>
              in circulum reductus:
                <lb/>
              qualis quidem eſſe nequit aſciæ motus ad globum poliendum. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum