Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Page concordance

< >
Scan Original
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
< >
page |< < of 355 > >|
    <archimedes>
      <text>
        <body>
          <pb pagenum="76" xlink:href="009/01/076.jpg"/>
          <chap>
            <p type="head">
              <s id="s.001403">
                <emph type="italics"/>
              Ex Quinto Phyſicorum.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001404">
                <arrow.to.target n="marg98"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001405">
                <margin.target id="marg98"/>
              98</s>
            </p>
            <p type="main">
              <s id="s.001406">Tex. 6.
                <emph type="italics"/>
              (Vt media grauis ad vltimam, & acuta ad primam)
                <emph.end type="italics"/>
              alludit ad or­
                <lb/>
              dinem chordarum in muſicis inſtrumentis, vbi media chorda edit ſo­
                <lb/>
              num, reſpectu quidem vltimæ, & ſupremæ chordæ grauem: reſpectu verò
                <lb/>
              primæ, & infimæ acutum.</s>
            </p>
          </chap>
          <chap>
            <p type="head">
              <s id="s.001407">
                <emph type="italics"/>
              Ex Octauo Phyſicorum.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001408">
                <arrow.to.target n="marg99"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001409">
                <margin.target id="marg99"/>
              99</s>
            </p>
            <p type="main">
              <s id="s.001410">Tex. 15.
                <emph type="italics"/>
              (Etenim triangulus habet tres angulos æquales duobus rectis angulis)
                <emph.end type="italics"/>
                <lb/>
              lib. 1. Priorum, ſecto 3. cap. 1. huius rei explicationem reperies.</s>
            </p>
          </chap>
          <chap>
            <p type="head">
              <s id="s.001411">
                <emph type="italics"/>
              EX PRIMO DE COELO.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001412">
                <arrow.to.target n="marg100"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001413">
                <margin.target id="marg100"/>
              100</s>
            </p>
            <p type="main">
              <s id="s.001414">Tex. 33.
                <emph type="italics"/>
              (Vt ſi quis minimam quădam eſſe dicat magnitudinem, hic enim
                <lb/>
              minimum introducens, maxima
                <expan abbr="vbiq;">vbique</expan>
              amoueret mathematicorŭm)
                <emph.end type="italics"/>
              ideſt,
                <lb/>
              ſi quis, vt Democritus poſuerit in magnitudinibus eſſe minima,
                <lb/>
              ſeu indiuiſibilia, ex quibus entia mathematica componerentur,
                <lb/>
              hic euerteret maxima mathematicorum, ideſt maxime ipſorum demonſtra­
                <lb/>
              tiones, atque etiam effata euerterentur: v. g. 10. primi Elem. quæ docet
                <lb/>
              quamlibet lineam poſſe diuidi bifariam nulla eſſet, quia linea illa, quæ con­
                <lb/>
              ſtaret ex tribus Democriti atomis, nulla ratione bifariam ſecari poſſet. </s>
              <s id="s.001415">pa­
                <lb/>
              riter totus ferè decimus liber Elem. deceptiuus, & nullus eſſet, ſi enim da­
                <lb/>
              rentur illæ atomi, ex quibus
                <expan abbr="quãtitas">quantitas</expan>
              conflaretur, nullæ eſſent lineæ incom­
                <lb/>
              menſurabiles, quandoquidem omnes communi illa, ac indiuidua, commen­
                <lb/>
              ſurarentur. </s>
              <s id="s.001416">poſtulatum
                <expan abbr="quoq;">quoque</expan>
              illud, qualibet data magnitudine ſumi poſſe
                <lb/>
              minorem prorſus irritum redderetur, quia data atomo, illa minor accipi
                <lb/>
              non poſſet.</s>
            </p>
            <p type="main">
              <s id="s.001417">
                <arrow.to.target n="marg101"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001418">
                <margin.target id="marg101"/>
              101</s>
            </p>
            <p type="main">
              <s id="s.001419">Tex. 36.
                <emph type="italics"/>
              (Sit
                <expan abbr="itaq;">itaque</expan>
              linea, in qua A G E, infinita ad partes E; & alia vtrinque
                <lb/>
              infinita, in qua
                <foreign lang="grc">β</foreign>
              B; ſi
                <expan abbr="itaq;">itaque</expan>
              deſcribat circulum linea A G E, circa centrum G, fe-
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.009.01.076.1.jpg" place="text" xlink:href="009/01/076/1.jpg" number="42"/>
                <lb/>
                <emph type="italics"/>
              retur circulariter linea A G E, ſecans ali­
                <lb/>
              quando lineam
                <foreign lang="grc">β</foreign>
              B, tempore finito; totum
                <lb/>
              enim tempus, in quo circulariter latum
                <lb/>
              eſt Cœlum finitum eſt, & ablatum igitur,
                <lb/>
              quo ſecans ferebatur; erit igitur aliquod
                <lb/>
              principium, quo primum linea A G E, li­
                <lb/>
              neam
                <foreign lang="grc">β</foreign>
              B, ſecuit. </s>
              <s id="s.001420">ſed impoſſibile est; non
                <lb/>
              est igitur circulariter verti
                <expan abbr="infinitũ">infinitum</expan>
              , quare
                <lb/>
                <expan abbr="neq;">neque</expan>
              mundum, ſi eſſet infinitus)
                <emph.end type="italics"/>
              quamuis
                <lb/>
              textus hic parum ſit mathematicus,
                <lb/>
              quia tamen ſupponit figuram mathe­
                <lb/>
              maticam, quæ in codicibus pariter, ac
                <lb/>
              commentarijs deſideratur, illam pla­
                <lb/>
              cuit apponere. </s>
              <s id="s.001421">in qua quidem, quamuis duæ lineæ infinitæ ſupponantur, vna
                <lb/>
              ad alteram
                <expan abbr="tãtum">tantum</expan>
              partem in qua E: altera verò ad
                <expan abbr="vtramq;">vtramque</expan>
              partem
                <foreign lang="grc">β,</foreign>
              & </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum