Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

Table of contents

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[4.18.] Quomodo dignoſcatur proportio uelocitatis duorum ſimilium corporum omogeniorum inaqualium. CAP. XVIII.
[4.19.] Quam ſit inanis ab Ariſtotele ſuſcepta demonſtratio quod uacuum non detur. CAP. XIX.
[4.20.] Non ſatis dilucidè Ariſtotelem de loco ratiocinatum fuiße. CAP. XX.
[4.21.] Vtrum bene Aristoteles ſenſerit de infinito. CAP. XXI.
[4.22.] Exagitatur ab Ariſtotele adductatemporis definitio. CAP. XXII.
[4.23.] Motum rectum eſſe continuum, uel dißentiente Ariſtotele. CAP. XXIII.
[4.24.] Idem uir grauisſimus an bene ſenſerit de motibus corporum uiolentis & natur alibus. CAP. XXIIII.
[4.25.] Motum rectum & natur alem non eſſe primo & per ſe quicquid Ariſtoteli uiſum ſit. CAP. XXV.
[4.26.] Omne corpus eſſe in loco proprio graue, ut Aristoteli placuit, non eft admittendum. CAP. XXVI.
[4.27.] Haud admittendam opinionem Principis Peripateticorum de circulo, & ſpbæra. CAP. XXVII.
[4.28.] Occultam fuiße grauisſimo Stagirit & canſam ſcintilla-tionis ſtellarum. CAP. XXVIII.
[4.29.] Daricontinuum infinitum motum ſuper rectam at que finitam lineam. CAP. XXIX.
[4.30.] Non eſſe ſolis calorem à motu localι ipſius corporis ſolaris, ut Ariſtoteli placuit. CAP. XXX.
[4.31.] Vnde caloris ſolis prode at incrementum & state, et byeme decrementum. CAP. XXXI.
[4.32.] Nullum corpus ſenſus expers à ſono offendi, præterquam Aristoteles crediderit. CAP. XXXII.
[4.33.] Pytagoreorum opinionem de ſonitu corporum cælestium non fuiſſe ab Aristotele ſublatam. CAP. XXXIII.
[4.34.] Deraro et denſo nonnulla, minus diligenter à Peripateticis perpenſa. CAP. XXXIIII.
[4.35.] Motum rectum curuo poſſe comparari etiam diſentiente Ariſtotele. CAP. XXXV.
[4.36.] Minus ſufficienter exploſam fuiſſe ab Ariſtotele opinionem cre-dentium plures mundos exiſtere. CAP. XXXVI.
[4.37.] Anrectè loquutus ſit Phyloſopbus de extenſione luminis per uacuum. CAP. XXXVII.
[4.38.] An rectè phyloſophiœ penus Ariſtoteles ſenſerit de loco im-pellendo à pyramide. CAP. XXXVIII.
[4.39.] Examinatur quam ualida ſit ratio Aristotelis de inalterabilitate Cœli. CAP. XXXIX.
[5.] IN QVINTVM EVCLIDIS LIBRVM
[Item 5.1.]
[5.1.1.] Horum autem primum est.
[5.1.2.] SECVNDVM.
[5.1.3.] TERTIVM. Quę est εuclidis ſeptima propoſitio.
[5.1.4.] QVARTVM. εuclidis uerò nona propoſitio.
[5.1.5.] QVINTVM. Euclidis uerò octaua propoſitio.
[5.1.6.] SEXTVM. εuclidis uerò decima propoſitio.
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          <div xml:id="echoid-div477" type="chapter" level="2" n="6">
            <head xml:id="echoid-head354" xml:space="preserve">PHYSICA,
              <lb/>
            ET MATHEMATICA
              <lb/>
            RESPONSA.</head>
            <head xml:id="echoid-head355" style="it" xml:space="preserve">FO. BAPTISTAE BεNεDICTI PATRITII
              <lb/>
            Veneti, Philoſophi Mathematici.</head>
            <div xml:id="echoid-div477" type="preface" level="3" n="1">
              <head xml:id="echoid-head356" xml:space="preserve">Ad Lectorem.</head>
              <p>
                <s xml:id="echoid-s2486" xml:space="preserve">VT Nilmagis virtutis eſt proprium, quàm
                  <lb/>
                agitari, & inceßabili motu prodeße. </s>
                <s xml:id="echoid-s2487" xml:space="preserve">Ac velu
                  <lb/>
                ti fulgidum ſydus ante oculos
                  <reg norm="ſpectantium" type="context">ſpectantiũ</reg>
                com
                  <lb/>
                micare. </s>
                <s xml:id="echoid-s2488" xml:space="preserve">Ita mihi mathematicis
                  <reg norm="ijsque" type="simple">ijsq;</reg>
                maxi
                  <lb/>
                mè philoſophicis ſpeculationibus dedito, ſapiſ-
                  <lb/>
                ſimè, ut in principium ſummorum aulis, &
                  <lb/>
                amplißimis ciuitatibus degenti, ubi multa ſem
                  <lb/>
                per Nobilium mir a curioſitate, ſciendi deſiderio, & conferendicu
                  <lb/>
                piditate referta, uerſantur ingenia, contigit, modo ab his, modo ab
                  <lb/>
                illis, aut uerbis tentari, aut literis prouocari ad diſſerendum, de
                  <lb/>
                his, in quorum ſtudijs uerſamur. </s>
                <s xml:id="echoid-s2489" xml:space="preserve">Quarum concertationum & re
                  <lb/>
                ſponſionum, quoniam non omnino indigna exiſtimaui, quæmemoriæ
                  <unsure/>
                  <lb/>
                comendarentur, partem aliquam apud me conſeruaui. </s>
                <s xml:id="echoid-s2490" xml:space="preserve">Vbi uerò
                  <lb/>
                per ocium licuit, collegi, relegi, ac tandem de manu mittere decreui.
                  <lb/>
                </s>
                <s xml:id="echoid-s2491" xml:space="preserve">Tum ut ſcientia ipſa quo magis diffundetur, creſcat; </s>
                <s xml:id="echoid-s2492" xml:space="preserve">& quicquid
                  <lb/>
                ualeo, ſine inuidia in communem utilitatem conferam. </s>
                <s xml:id="echoid-s2493" xml:space="preserve">Tum ut ui-
                  <lb/>
                rorum præctantiβimorum, qui me ſuis interrogationibus excitaue
                  <lb/>
                runt, quantum in me erit, gratitudinis ergo, nomina reddam im-
                  <lb/>
                mortalia, & eorum exemplo alios, ocio ſordidiore abiecto, quod ſolet
                  <lb/>
                ourialium præcipuè excelſa ingenia corrumpere, ad ſciſcit andum
                  <lb/>
                conferendum, & diſſerendum, derebus
                  <reg norm="ſerijs" type="lig">ſerijs</reg>
                , & quæuſui aliquan-
                  <lb/>
                do eße poßint, &
                  <reg norm="quandoque" type="simple">quandoq;</reg>
                euulgari mereantur, alliciam. </s>
                <s xml:id="echoid-s2494" xml:space="preserve">Tuinte-
                  <lb/>
                rim nostris laboribus fruere, & nostram diligentiam boni, & æqui
                  <lb/>
                conſule, & Vale.</s>
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