Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[61.] ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
[62.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.
[63.] PETITIONES.
[64.] THEOREMA I. PROPOSITIO I.
[65.] THEOREMA II. PROPOSITIO II.
[66.] THE OREMA III. PROPOSITIO III.
[67.] THE OREMA IIII. PROPOSITIO IIII.
[68.] ALITER.
[69.] THEOREMA V. PROPOSITIO V.
[70.] COROLLARIVM.
[71.] THEOREMA VI. PROPOSITIO VI.
[72.] THE OREMA VII. PROPOSITIO VII.
[73.] THE OREMA VIII. PROPOSITIO VIII.
[74.] THE OREMA IX. PROPOSITIO IX.
[75.] PROBLEMA I. PROPOSITIO X.
[76.] PROBLEMA II. PROPOSITIO XI.
[77.] PROBLEMA III. PROPOSITIO XII.
[78.] PROBLEMA IIII. PROPOSITIO XIII.
[79.] THEOREMA X. PROPOSITIO XIIII.
[80.] THE OREMA XI. PROPOSITIO XV.
[81.] THE OREMA XII. PROPOSITIO XVI.
[82.] THE OREMA XIII. PROPOSITIO XVII.
[83.] THEOREMA XIIII. PROPOSITIO XVIII.
[84.] THEOREMA XV. PROPOSITIO XIX.
[85.] THE OREMA XVI. PROPOSITIO XX.
[86.] THEOREMA XVII. PROPOSITIO XXI.
[87.] THE OREMA XVIII. PROPOSITIO XXII.
[88.] THEOREMA XIX. PROPOSITIO XXIII.
[89.] PROBLEMA V. PROPOSITIO XXIIII.
[90.] THEOREMA XX. PROPOSITIO XXV.
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            <s xml:id="echoid-s65" xml:space="preserve">
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            tim interpretis errore deprauata emendaui; </s>
            <s xml:id="echoid-s66" xml:space="preserve">partim
              <lb/>
            uetuſtate corrupta & </s>
            <s xml:id="echoid-s67" xml:space="preserve">conſumpta in priſtinam inte-
              <lb/>
            gritatem redegi, compluribus, quæ deſiderabantur,
              <lb/>
            meo, ut aiunt, marte ſuppletis. </s>
            <s xml:id="echoid-s68" xml:space="preserve">Deinde quoniam Ar-
              <lb/>
            chimedes, quemadmodum ſupra dixi, non nulla po-
              <lb/>
            nit, ut perſpicua, & </s>
            <s xml:id="echoid-s69" xml:space="preserve">quæ uel ipſe, uel ſuperiores ma-
              <lb/>
            thematici ἀποδείξεσι confirmauerunt, coactus ſum non
              <lb/>
            ſine maximo negotio ex ijs principijs conicæ diſcipli
              <lb/>
            næ Apollonij Pergæi, quæ in manus noſtras peruene-
              <lb/>
            rũt, nouas probationes adhibere, nequid eſſet, quod
              <lb/>
            diligentem lectorem in hac parte remorari poſſet. </s>
            <s xml:id="echoid-s70" xml:space="preserve">re
              <lb/>
            ſtabat, ut theorema illud, quod ſine cognitione cen-
              <lb/>
            tri grauitatis corporum ſolidorũ percipinon poteſt,
              <lb/>
            uidelicet, Centrum grauitatis in portionibus conoi-
              <lb/>
            dis rectanguli axem ita diuidere, ut pars, quæ ad uer-
              <lb/>
            ticem terminatur, reliquæ partis, quæ ad baſim ſit du
              <lb/>
            pla, certisſimis rationibus comprobarem. </s>
            <s xml:id="echoid-s71" xml:space="preserve">ſed huic
              <lb/>
            quoque rei prouiſum eſt à me: </s>
            <s xml:id="echoid-s72" xml:space="preserve">ſeorſumq́ ab his li-
              <lb/>
            bris de cẽtro grauitatis ſolidorũ uberrime cõſcripſi.
              <lb/>
            </s>
            <s xml:id="echoid-s73" xml:space="preserve">denique nihil prætermiſi, quod ad Archimedem in
              <lb/>
            hac materia illuſtrandum attineret. </s>
            <s xml:id="echoid-s74" xml:space="preserve">quod ſi, ut ſpero,
              <lb/>
            aſſecutus ſum, ſatis magnum fructum mihi cepiſſe ui
              <lb/>
            debor laborum, & </s>
            <s xml:id="echoid-s75" xml:space="preserve">uigiliarum mearum: </s>
            <s xml:id="echoid-s76" xml:space="preserve">ſin ſecus acci
              <lb/>
            derit, hoc me tamen conſolabor, quòd omnes intelli
              <lb/>
            gent, honeſtisſimo meo conſilio, non tã ingenij mei
              <lb/>
            imbecillitatem, quàm rei obſcuritatem, & </s>
            <s xml:id="echoid-s77" xml:space="preserve">temporũ
              <lb/>
            iniurias obſtitiſſe. </s>
            <s xml:id="echoid-s78" xml:space="preserve">Hoc loco ſuperuacaneum eſſe arbi
              <lb/>
            tror pluribus uerbis exponere, cur tibi </s>
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