Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of handwritten notes

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            <s xml:id="echoid-s4256" xml:space="preserve">
              <pb file="0170" n="170" rhead="FED. COMMANDINI"/>
            & </s>
            <s xml:id="echoid-s4257" xml:space="preserve">denique punctum h pyramidis a b c d e f grauitatis eſſe
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            centrum, & </s>
            <s xml:id="echoid-s4258" xml:space="preserve">ita in aliis.</s>
            <s xml:id="echoid-s4259" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4260" xml:space="preserve">Sit conus, uel coni portio axem habens b d: </s>
            <s xml:id="echoid-s4261" xml:space="preserve">ſecetur que
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            plano per axem, quod ſectionem faciat triangulum a b c:
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            </s>
            <s xml:id="echoid-s4262" xml:space="preserve">& </s>
            <s xml:id="echoid-s4263" xml:space="preserve">b d axis diuidatur in e, ita ut b e ipſius e d ſit tripla. </s>
            <s xml:id="echoid-s4264" xml:space="preserve">
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            Dico punctum e coni, uel coni portionis, grauitatis
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            eſſe centrum. </s>
            <s xml:id="echoid-s4265" xml:space="preserve">Sienim fieri poteſt, ſit centrum f: </s>
            <s xml:id="echoid-s4266" xml:space="preserve">& </s>
            <s xml:id="echoid-s4267" xml:space="preserve">pro-
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            ducatur e f extra figuram in g. </s>
            <s xml:id="echoid-s4268" xml:space="preserve">quam uero proportionem
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            habet g e ad e f, habeat baſis coni, uel coni portionis, hoc
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            eſt circulus, uel ellipſis circa diametrum a c ad aliud ſpa-
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            cium, in quo h. </s>
            <s xml:id="echoid-s4269" xml:space="preserve">Itaque in circulo, uel ellipſi plane deſcri-
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            batur rectilinea figura a k l m c n o p, ita ut quæ relinquũ-
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            tur portiones ſint minores ſpacio h: </s>
            <s xml:id="echoid-s4270" xml:space="preserve">& </s>
            <s xml:id="echoid-s4271" xml:space="preserve">intelligatur pyra-
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            mis baſim habens rectilineam figuram a K l m c n o p, & </s>
            <s xml:id="echoid-s4272" xml:space="preserve">
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            axem b d; </s>
            <s xml:id="echoid-s4273" xml:space="preserve">cuius quidem grauitatis centrum erit punctum
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            e, ut iam demonſtrauimus. </s>
            <s xml:id="echoid-s4274" xml:space="preserve">Et quoniam portiones ſunt
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            minores ſpacio h, circulus, uel ellipſis ad portiones ma-
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              <figure xlink:label="fig-0170-01" xlink:href="fig-0170-01a" number="125">
                <image file="0170-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0170-01"/>
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            iorem proportionem habet, quam g e a d e f. </s>
            <s xml:id="echoid-s4275" xml:space="preserve">ſed ut circu-
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            lus, uel ellipſis ad figuram rectilineam ſibi inſcriptam, ita
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            conus, uel coni portio ad pyramidem, quæ figuram rectili-
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            neam pro baſi habet; </s>
            <s xml:id="echoid-s4276" xml:space="preserve">& </s>
            <s xml:id="echoid-s4277" xml:space="preserve">altitudinem æqualem: </s>
            <s xml:id="echoid-s4278" xml:space="preserve">etenim </s>
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Impressum