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-s43" xml:space="preserve">
              <pb file="0010" n="10"/>
            & </s>
            <s xml:id="echoid-s44" xml:space="preserve">à uetuſtate profecta, neſcio quod ueſtigium illius
              <lb/>
            acuti, & </s>
            <s xml:id="echoid-s45" xml:space="preserve">perſpicacis ingenij, quo Archimedes excel-
              <lb/>
            luit, impreſſum apparet: </s>
            <s xml:id="echoid-s46" xml:space="preserve">altera quòd tum græci, tum
              <lb/>
            latini ſcriptores grauisſimi hos ut Archimedis libros
              <lb/>
            recognoſcũt. </s>
            <s xml:id="echoid-s47" xml:space="preserve">Strabo enim in primo libro hæc ad uer
              <lb/>
            bũ ſcribit. </s>
            <s xml:id="echoid-s48" xml:space="preserve">ὁδὲ οὕτος ἡδὺς ἐ
              <unsure/>
            στὶν, ὥστε η{αὶ} μὴ μαθηματιηὸςὤν, οὐδὲ
              <lb/>
            τὴν Αρχιμήδουςβεβαιοῖ δόξαν, ὅτιφησὶνἐη{εῖ} νος ἐν τοῖς περἱ τῶνὀχον-
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            μένων, παντὸς ὑγροῦ καθεστηηότος, καἱ μένοντος τὴνἑ πιφάν{ει}αν σφαιρι-
              <lb/>
            κὴν {εῖ}ν{αι}, σφ{αὶ} ρας ταυτὸ ηέντρον ἐφούσης τῆ γῆ. </s>
            <s xml:id="echoid-s49" xml:space="preserve">ταὺ την γάρ τὴν δοξαν
              <lb/>
            ἀποδέχονται πάντες οἱ μαθημάτων πῶς άψάμενοι. </s>
            <s xml:id="echoid-s50" xml:space="preserve">& </s>
            <s xml:id="echoid-s51" xml:space="preserve">Pappus Ale-
              <lb/>
            xandrinus in octauo mathematicarum collectionum
              <lb/>
            libro hæc ſcripta reliquit, ηαλοῦσι δὲ μηχανιηοὺςοἱ παλαιοὶ,
              <lb/>
            κ{αὶ} τοὺς θαυμασιουργοὺς, ὡνοἱ μὲν διὰ πνευμὰτων φιλοτεχνοῦσιν, ὡς
              <lb/>
            ἥρων πνευματιηοῖς, οἱ δὲ διὰ νευρίων καὶ σπάρτωνἐμψύχωνκινήσεις δο-
              <lb/>
            κοῦσι μιμ\~εισθαι, ὡςἥρων αὐτομάτοις, καὶ ζυγίοις: </s>
            <s xml:id="echoid-s52" xml:space="preserve">ἄλλοι δὲ διὰ τῶν ἐφ
              <unsure/>
              <lb/>
            ὕδατος ὁχουμένων, ὡςὰρχιμήδης ὀχουμένοις. </s>
            <s xml:id="echoid-s53" xml:space="preserve">Vitruuius etiam
              <lb/>
            in octauo libro de his eiſdem Archimedis libris me.
              <lb/>
            </s>
            <s xml:id="echoid-s54" xml:space="preserve">minit. </s>
            <s xml:id="echoid-s55" xml:space="preserve">Fortaſſe, inquit, qui Archimedis libros legit, di
              <lb/>
            cet non poſſe fieri ueram ex aqua librationem: </s>
            <s xml:id="echoid-s56" xml:space="preserve">ſed ei
              <lb/>
            placet aquam non eſſe libratam, ſed ſphæroides habe
              <lb/>
            re ſchema: </s>
            <s xml:id="echoid-s57" xml:space="preserve">& </s>
            <s xml:id="echoid-s58" xml:space="preserve">ibi habere centrum, quo loci habet or-
              <lb/>
            bis terrarum. </s>
            <s xml:id="echoid-s59" xml:space="preserve">ut nemini dubium eſſe posſit, quin & </s>
            <s xml:id="echoid-s60" xml:space="preserve">
              <lb/>
            genere ſcriptionis, & </s>
            <s xml:id="echoid-s61" xml:space="preserve">tãtorum uirorum auctoritate,
              <lb/>
            ut germani Archimedis libri attente legendi, & </s>
            <s xml:id="echoid-s62" xml:space="preserve">per-
              <lb/>
            pendendi ſint: </s>
            <s xml:id="echoid-s63" xml:space="preserve">præſertim cum in ijs multa continean
              <lb/>
            tur cognitione dignisſirna, quæ nõ tam ad mathema
              <lb/>
            ticas diſciplinas, quàm ad naturæ obſcuritatem ſpe-
              <lb/>
            ctant. </s>
            <s xml:id="echoid-s64" xml:space="preserve">Quamobrem ego ne tanto, & </s>
            <s xml:id="echoid-s65" xml:space="preserve">tam fructuoſo
              <lb/>
            theſauro diutius ſtudioſi carerent, primum loca </s>
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