DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Page concordance

< >
Scan Original
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/160.jpg" pagenum="156"/>
            <p id="N16000" type="margin">
              <s id="N16002">
                <margin.target id="marg271"/>
              2.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1600B" type="margin">
              <s id="N1600D">
                <margin.target id="marg272"/>
              8.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N16016" type="margin">
              <s id="N16018">
                <margin.target id="marg273"/>
                <emph type="italics"/>
              lemma.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N16020" type="margin">
              <s id="N16022">
                <margin.target id="marg274"/>
                <emph type="italics"/>
              1:
                <expan abbr="tem-ĩ">tem-im</expan>
                <emph.end type="italics"/>
              13.
                <lb/>
                <emph type="italics"/>
              primi hui
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N16034" type="margin">
              <s id="N16036">
                <margin.target id="marg275"/>
              8.
                <emph type="italics"/>
              primi
                <lb/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N16041" type="head">
              <s id="N16043">SCHOLIVM.</s>
            </p>
            <p id="N16045" type="main">
              <s id="N16047">In hac demonſtratione obſeruandum eſt; quòd
                <expan abbr="quãdo">quando</expan>
              Ar­
                <lb/>
              chimedes inquit,
                <emph type="italics"/>
              in portione autem planè inſcribatur figura
                <emph.end type="italics"/>
              &c. </s>
              <s id="N16055">in­
                <lb/>
              telligendum eſt, inſcribatur primò pentagonum AGBNC
                <lb/>
              in portione planè inſcriptum; quod quidem relin〈que〉t por­
                <lb/>
              tiones AOG GPB BQN NRC, quæ ſimul uel erunt minores
                <lb/>
              ſpacio K, vel minùs. </s>
              <s id="N1605F">ſi non, rurſus planè adhuc inſcribatur
                <lb/>
              in portione ABC nonagonum; deinde alia figura; idquè ſem­
                <lb/>
              per fiat, donec circumrelictæ portiones ſimul ſint ſpacio K
                <lb/>
              minores. </s>
              <s id="N16067">quod quidem fieri poſſe ex prima decimi Euclidis
                <lb/>
                <arrow.to.target n="marg276"/>
              patet. </s>
              <s id="N1606F">Aufertur enim ſemper maius,
                <expan abbr="quã">quam</expan>
              dimidium. </s>
              <s id="N16075">Cùm quæ
                <lb/>
              libet portio paraboles trianguli plane in ipſa inſeripti ſit ſeſ­
                <lb/>
              quitertia. </s>
              <s id="N1607B">Vnde triangulum ABC maius eſt, quàm
                <expan abbr="dimidiũ">dimidium</expan>
                <lb/>
              portionis ABC. triangulum què AGB maius, quàm
                <expan abbr="dimidiũ">dimidium</expan>
                <lb/>
              portionis AGB. ſimiliter triangulum BNC portionis BNC &
                <lb/>
              ita in alijs. </s>
              <s id="N1608B">Quæ quidem omnia ſuntquo〈que〉 manifeſta ex vi
                <lb/>
              geſima propoſitione, eiuſquè demonſtratione de quadratura
                <lb/>
              paraboles Archimedis. </s>
            </p>
            <p id="N16091" type="margin">
              <s id="N16093">
                <margin.target id="marg276"/>
              17.
                <emph type="italics"/>
              Archi.
                <lb/>
              de quad.
                <lb/>
              parab.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N160A0" type="main">
              <s id="N160A2">Demonſtrato centro grauitatis cuiuſlibet paraboles in eius
                <lb/>
              diametro exiſtere; oſtendet Archimedes, (vt diximus) in pa­
                <lb/>
              rabolis grauitatum centra in eadem proportione diametros
                <lb/>
              diſpeſcere. </s>
              <s id="N160AA">antequam autem hoc demonſtret, duas pręmittit
                <lb/>
              ſe〈que〉ntes propoſitiones ad demonſtrationem neceſſarias. </s>
            </p>
            <p id="N160AE" type="head">
              <s id="N160B0">PROPOSITIO. V.</s>
            </p>
            <p id="N160B2" type="main">
              <s id="N160B4">Si in portione recta linea, rectanguliquè coni
                <lb/>
              ſectione contenta rectilinea figura planè inſcriba
                <lb/>
              tur, totius portionis
                <expan abbr="centrũ">centrum</expan>
              grauitatis
                <expan abbr="propĩquius">propinquius</expan>
                <lb/>
              eſt vertici portionis,
                <expan abbr="quã">quam</expan>
                <expan abbr="centrũ">centrum</expan>
              figuræ inſcriptæ. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum