Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[51.] V.
[52.] DEMONSTRATIO SECVNDAE PARTIS.
[53.] COMMENTARIVS.
[54.] DEMONSTRATIO TERTIAE PARTIS.
[55.] COMMENTARIVS.
[56.] DEMONSTRATIO QVARTAE PARTIS.
[57.] DEMONSTRATIO QVINT AE PARTIS.
[58.] FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.
[59.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.
[60.] CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.
[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.
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            <s xml:id="echoid-s2748" xml:space="preserve">
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            tiam haberemus. </s>
            <s xml:id="echoid-s2749" xml:space="preserve">Q uem meum laborem nō mathe-
              <lb/>
            maticis ſolum, verum iis etiam, qui naturæ obſcuri-
              <lb/>
            tate delectantur, nó iniucundam fore ſperaui: </s>
            <s xml:id="echoid-s2750" xml:space="preserve">multa
              <lb/>
            enim προβλήματα cognitiòne digniſsima, quæ ad vtrã-
              <lb/>
            que ſcientiam attinent, ſeſe legentibus obtuliſſent.
              <lb/>
            </s>
            <s xml:id="echoid-s2751" xml:space="preserve">neque id vlli mirandum videri debet. </s>
            <s xml:id="echoid-s2752" xml:space="preserve">vt enim in cor-
              <lb/>
            poribus noſtris omnia membra, ex quibus certa quæ
              <lb/>
            dam officia naſcuntur, diuino quodam ordine inter
              <lb/>
            ſe implicata, & </s>
            <s xml:id="echoid-s2753" xml:space="preserve">colligata ſunt: </s>
            <s xml:id="echoid-s2754" xml:space="preserve">in iisq́; </s>
            <s xml:id="echoid-s2755" xml:space="preserve">admirabilis il-
              <lb/>
            la conſpiratio, quam σύμπνοιαν græci vocant, eluceſcit,
              <lb/>
            ita tres illæ Philoſophiæ (ut Ariſtotelis verbo vtar)
              <lb/>
            quæ veritatem ſ
              <unsure/>
            olam propoſitam habent, licet qui-
              <lb/>
            buſdam quaſi finibus ſuis regantur: </s>
            <s xml:id="echoid-s2756" xml:space="preserve">tamen earũ vna-
              <lb/>
            quæque per ſe ipſam quodammodo imperfecta eſt: </s>
            <s xml:id="echoid-s2757" xml:space="preserve">
              <lb/>
            neque altera ſine alterius auxilio plene comprehen-
              <lb/>
            di poteſt. </s>
            <s xml:id="echoid-s2758" xml:space="preserve">complures præterea mathematicorum no-
              <lb/>
            di ante hac explicatu difficillimi nullo negotio expe
              <lb/>
            diti eſſent: </s>
            <s xml:id="echoid-s2759" xml:space="preserve">atque (ut vno, verbo complectar) niſi
              <lb/>
            mea valde amo, tractationem hanc meam ſtudioſis
              <lb/>
            non mediocrem vtilitatem, & </s>
            <s xml:id="echoid-s2760" xml:space="preserve">magnam volupta-
              <lb/>
            tem allaturam eſſe mihi perſuaſi. </s>
            <s xml:id="echoid-s2761" xml:space="preserve">cum autem ad hoc
              <lb/>
            ſcribendum aggreſſus eſsem, allatus eſt ad me liber
              <lb/>
            Franciſci Maurolici Meſſanenſis, in quo vir ille do-
              <lb/>
            ctiſsimus, & </s>
            <s xml:id="echoid-s2762" xml:space="preserve">in iis diſciplinis exercitatiſsimus af-
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            firmabat ſe de centro grauitatis corporum ſolido-
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            rum conſcripſiſſe. </s>
            <s xml:id="echoid-s2763" xml:space="preserve">cum hoc intellexiſſem, ſuſtinui
              <lb/>
            me pauliſper: </s>
            <s xml:id="echoid-s2764" xml:space="preserve">tacitusque expectaui, dum opus </s>
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