Ghetaldi, Marino, Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis

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            <s xml:id="echoid-s1160" xml:space="preserve">
              <pb o="58" file="0070" n="70" rhead="PROMOTVS"/>
            minuitur; </s>
            <s xml:id="echoid-s1161" xml:space="preserve">ergo quod fit ex EK, & </s>
            <s xml:id="echoid-s1162" xml:space="preserve">FV, æquale erit ei quod fit ex G, & </s>
            <s xml:id="echoid-s1163" xml:space="preserve">
              <lb/>
            EK, vna cum eo quod ex H, & </s>
            <s xml:id="echoid-s1164" xml:space="preserve">K, minus eo quod fit ex G, & </s>
            <s xml:id="echoid-s1165" xml:space="preserve">K. </s>
            <s xml:id="echoid-s1166" xml:space="preserve">aufe-
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            ratur vtrinque id quod fit ex G, & </s>
            <s xml:id="echoid-s1167" xml:space="preserve">EK, quod igitur fit ex FV, & </s>
            <s xml:id="echoid-s1168" xml:space="preserve">EK,
              <lb/>
              <figure xlink:label="fig-0070-01" xlink:href="fig-0070-01a" number="23">
                <image file="0070-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0070-01"/>
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            minus eo quod ex G, & </s>
            <s xml:id="echoid-s1169" xml:space="preserve">
              <lb/>
            EK, æquabitur ei quod
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            ex H, & </s>
            <s xml:id="echoid-s1170" xml:space="preserve">K, minus eo
              <lb/>
            quod fit ex G, & </s>
            <s xml:id="echoid-s1171" xml:space="preserve">K, ſed
              <lb/>
            quod fit ex H, & </s>
            <s xml:id="echoid-s1172" xml:space="preserve">K,
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            minus eo quod fit ex
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            G, & </s>
            <s xml:id="echoid-s1173" xml:space="preserve">K, æquale eſt ei
              <lb/>
            quod ex differentia ip-
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            ſarum H, G, fit & </s>
            <s xml:id="echoid-s1174" xml:space="preserve">K,
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            ſimiliter, & </s>
            <s xml:id="echoid-s1175" xml:space="preserve">quod fit ex
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            FV, & </s>
            <s xml:id="echoid-s1176" xml:space="preserve">EK, minus eo
              <lb/>
            quod ex G, & </s>
            <s xml:id="echoid-s1177" xml:space="preserve">EK,
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            æquale eſt ei quod ex
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            differentia ipſarum
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            FV, G, fit & </s>
            <s xml:id="echoid-s1178" xml:space="preserve">EK, ergo
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            quod ex differentia
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            ipſarum H, G, fit & </s>
            <s xml:id="echoid-s1179" xml:space="preserve">K, æquale erit ei quod ex differentia ipſarum
              <lb/>
            FV, G, fit & </s>
            <s xml:id="echoid-s1180" xml:space="preserve">EK; </s>
            <s xml:id="echoid-s1181" xml:space="preserve">æqualitatem ad proportionem reuocando, erit vt
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            differentia grauitatum H, G, ad grauitatem EK, ita differentia
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            grauitatum FV, G, ad grauitatem K, quod erat primo loco: </s>
            <s xml:id="echoid-s1182" xml:space="preserve">demon-
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            ſtrandum.</s>
            <s xml:id="echoid-s1183" xml:space="preserve"/>
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            <s xml:id="echoid-s1184" xml:space="preserve">Dico quoque vt differentia grauitatum H, G, ad grauitatem EK,
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            ita eſſe differentiam grauitatum H, FV, ad grauitatem E. </s>
            <s xml:id="echoid-s1185" xml:space="preserve">Quoniam
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            enim oſtenſum eſt, quod fit ex EK, & </s>
            <s xml:id="echoid-s1186" xml:space="preserve">FV, æquale eſſe ei quod ex G, fit
              <lb/>
            & </s>
            <s xml:id="echoid-s1187" xml:space="preserve">E, vna cum eo quod ex H, & </s>
            <s xml:id="echoid-s1188" xml:space="preserve">K, quod autem fit ex H, & </s>
            <s xml:id="echoid-s1189" xml:space="preserve">K, æquatur
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            ei quod ex H, fit & </s>
            <s xml:id="echoid-s1190" xml:space="preserve">EK, minus eo quod ex H, & </s>
            <s xml:id="echoid-s1191" xml:space="preserve">E, quod enim additur
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            idem & </s>
            <s xml:id="echoid-s1192" xml:space="preserve">minuitur: </s>
            <s xml:id="echoid-s1193" xml:space="preserve">ergo quod fit ex EK, & </s>
            <s xml:id="echoid-s1194" xml:space="preserve">FV, æquale erit ei quod fit
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            ex H, & </s>
            <s xml:id="echoid-s1195" xml:space="preserve">EK, vna cum eo quod ex G, & </s>
            <s xml:id="echoid-s1196" xml:space="preserve">E, minus eo quod ex H, & </s>
            <s xml:id="echoid-s1197" xml:space="preserve">E.
              <lb/>
            </s>
            <s xml:id="echoid-s1198" xml:space="preserve">addatur vtrinque quod ex H, fit & </s>
            <s xml:id="echoid-s1199" xml:space="preserve">E, & </s>
            <s xml:id="echoid-s1200" xml:space="preserve">ſubducantur ea quæ fiunt ex
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            G, & </s>
            <s xml:id="echoid-s1201" xml:space="preserve">E, & </s>
            <s xml:id="echoid-s1202" xml:space="preserve">ex EK, & </s>
            <s xml:id="echoid-s1203" xml:space="preserve">FV; </s>
            <s xml:id="echoid-s1204" xml:space="preserve">quod igitur fit ex H, & </s>
            <s xml:id="echoid-s1205" xml:space="preserve">E, minus eo quod cx
              <lb/>
            G, & </s>
            <s xml:id="echoid-s1206" xml:space="preserve">E, æquabitur ei quod ex H, fit & </s>
            <s xml:id="echoid-s1207" xml:space="preserve">EK, minus eo quod ex FV, & </s>
            <s xml:id="echoid-s1208" xml:space="preserve">
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            EK, ſed quod fit ex H, & </s>
            <s xml:id="echoid-s1209" xml:space="preserve">E, minus eo quod ex G, & </s>
            <s xml:id="echoid-s1210" xml:space="preserve">E, æquale eſt ei
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            quod ex differentia ipſarum H, G, fit & </s>
            <s xml:id="echoid-s1211" xml:space="preserve">E, ſimiliter & </s>
            <s xml:id="echoid-s1212" xml:space="preserve">quod ex H, fit
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            & </s>
            <s xml:id="echoid-s1213" xml:space="preserve">EK, minus eo quod ex FV, & </s>
            <s xml:id="echoid-s1214" xml:space="preserve">EK, æquale eſt ei quod ex differentia
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            ipſarum H, FV, fit & </s>
            <s xml:id="echoid-s1215" xml:space="preserve">EK; </s>
            <s xml:id="echoid-s1216" xml:space="preserve">ergo quod ex differentia ipſarum H, G, fit
              <lb/>
            & </s>
            <s xml:id="echoid-s1217" xml:space="preserve">E, æquabitur ei quod ex differentia ipſarum H, FV, fit & </s>
            <s xml:id="echoid-s1218" xml:space="preserve">EK; </s>
            <s xml:id="echoid-s1219" xml:space="preserve">qua-
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            re æqualitatem ad proportionĕ reuocando erit vt differentia </s>
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