Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[91.] THEOREMA XXI. PROPOSITIO XXVI.
[92.] THEOREMA XXII. PROPOSITIO XXVII.
[93.] PROBLEMA VI. PROPOSITIO XX VIII.
[94.] THE OREMA XXIII. PROPOSITIO XXIX.
[95.] THEOREMA XXIIII. PROPOSITIO XXX.
[96.] THEOREMA XXV. PROPOSITIO XXXI.
[97.] FINIS LIBRI DE CENTRO GRAVITATIS SOLIDORVM.
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            <s xml:id="echoid-s14" xml:space="preserve">
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            tibi, qui iam in iis multam operam, multumq́; </s>
            <s xml:id="echoid-s15" xml:space="preserve">ſtu-
              <lb/>
            dium poſuiſti, cogitandum relinquo. </s>
            <s xml:id="echoid-s16" xml:space="preserve">nonnulla præ-
              <lb/>
            terea Archimedes vt perſpicua in his tractandis po-
              <lb/>
            nere non dubitauit, quæ veteres mathematici, qui
              <lb/>
            de conicis conſcripſerunt, plurimis, & </s>
            <s xml:id="echoid-s17" xml:space="preserve">firmiſsimis
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            argumentis probauerũt. </s>
            <s xml:id="echoid-s18" xml:space="preserve">Hæc autem idcirco à nobis
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            omnino ignorantur; </s>
            <s xml:id="echoid-s19" xml:space="preserve">quòd poſtremi quatuor libri
              <lb/>
            conicorum Apollonii Pergæi adhuc in tenebris de-
              <lb/>
            liteſcunt. </s>
            <s xml:id="echoid-s20" xml:space="preserve">Qua quidem in re (vt mea fert opinio)
              <lb/>
            ſingulari fato fuerunt mathematicæ diſciplinæ, cum
              <lb/>
            tot ſcriptorum præclara monumenta interierint, per
              <lb/>
            quæ non ſolum in ſtudioſos homines, uerum etiam
              <lb/>
            in humanũ genus mirabiles utilitates importatæ fuiſ-
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            ſent. </s>
            <s xml:id="echoid-s21" xml:space="preserve">nam cum mecum conſidero quàm late pateant
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            hæ nobiliſsimæ ſcientiæ, quãtopere rebus publicis & </s>
            <s xml:id="echoid-s22" xml:space="preserve">
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            priuatis admirabili quadã ratione, atque ordine gu-
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            bernandis neceſſariæ ſint, dubitãdum non exiſtimo,
              <lb/>
            quin magna ſit habenda gratia huius diuini boni au-
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            ctoribus, & </s>
            <s xml:id="echoid-s23" xml:space="preserve">inuentoribus: </s>
            <s xml:id="echoid-s24" xml:space="preserve">ueterumq́; </s>
            <s xml:id="echoid-s25" xml:space="preserve">græcorum pru
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            dentiam ſatis admirari non poſſum, qui pueros cum
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            primum fari cœpiſſent, his diſciplinis imbuendos cu
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            rabant, ut à prima ætate multiplicis, ac ſubtilis ſcien-
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            tiæ contemplationi aſſueti nihil paruum, aut humile
              <lb/>
            cogitarent: </s>
            <s xml:id="echoid-s26" xml:space="preserve">ſed uel ſe totos ijs artibus traderent, qua-
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            rum ope ciuitatibus ſuis & </s>
            <s xml:id="echoid-s27" xml:space="preserve">præſidio, & </s>
            <s xml:id="echoid-s28" xml:space="preserve">ornamento
              <lb/>
            eſſe poſſent: </s>
            <s xml:id="echoid-s29" xml:space="preserve">uel humanis ſtudijs multam ſalutem di-
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            centes, diuinam philoſophiam toto animo amplexa-
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            rentur, cum ad eam per mathematicas diſciplinas </s>
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