Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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              <s id="s.000504">
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              æqualibus baſibus, quorum axes cum baſibus æquales an
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              gulos faciant. </s>
              <s id="s.000505">Dico ſolidum ab ad
                <expan abbr="ſolidũ">ſolidum</expan>
              cd ita eſſe, ut axis
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              ef ad axem gh: nam ſi axes ad planum baſis recti ſint, il­
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              lud perſpicue conſtat: quoniam eadem linea, & axem & ſoli
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              di altitudinem determinabit. </s>
              <s id="s.000506">Si uero ſint inclinati, à pun­
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              ctis eg ad ſubiectum planum perpendiculares ducantur
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              ek, gl: & iungantur fk, hl. </s>
              <s id="s.000507">rurſus quoniam axes cum ba
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              ſibus æquales faciunt angulos, eodem modo demonſtrabi
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              tur, triangulum efK triangulo ghl ſimile eſſe: & ek ad gl,
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              ut ef ad gh. </s>
              <s id="s.000508">Solidum autem ab ad ſolidum cd eſt, ut
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              eK ad gl. </s>
              <s id="s.000509">ergo & ut axis ef ad axem gh. </s>
              <s id="s.000510">quæ omnia de
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              monſtrare oportebat.</s>
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            <p type="main">
              <s id="s.000511">Ex iis quæ demonſtrata ſunt, facile conſtare
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              poteſt, priſmata omnia & pyramides, quæ trian­
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              gulares baſes habent, ſiue in eiſdem, ſiue in æqua
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                <arrow.to.target n="marg59"/>
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              libus baſibus conſtituantur, eandem proportio­
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              nem habere, quam altitudines: & ſi axes cum ba
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              ſibus æquales angulos contineant, ſimiliter ean­
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              dem, quam axes, habere proportionem: ſunt
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                <arrow.to.target n="marg60"/>
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              enim ſolida parallelepipeda priſmatum triangula
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              res baſes
                <expan abbr="habentiũ">habentium</expan>
              dupla; & pyramidum ſextupla.</s>
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              15. quinti</s>
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            <p type="margin">
              <s id="s.000513">
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              28. unde­
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              cimi.</s>
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            <p type="margin">
              <s id="s.000514">
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              7. duode­
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              cimi.</s>
            </p>
            <p type="head">
              <s id="s.000515">THEOREMA XVI. PROPOSITIO XX.</s>
            </p>
            <p type="main">
              <s id="s.000516">Priſmata omnia & pyramides, quæ in eiſdem,
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              uel æqualibus baſibus conſtituuntur, eam inter
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              ſe proportionem habent, quam altitudines: & ſi
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              axes cum baſibus faciant angulos æquales, eam
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              etiam, quam axes habent proportionem.</s>
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          </chap>
        </body>
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    </archimedes>
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