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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                  hoc eſt .6. dabit .4. integra cum
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                    86.</num>
                  centeſimis, ſed nos vellemus no-
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                  bis prouenire tria, eo
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                  qua propter deſcendere nos oporte-
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                  bit à nouem ad .8. & ab .8. ad .7. & à.
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                  7. ad .6. </s>
                  <s xml:id="echoid-s3334" xml:space="preserve">tunc inueniemus
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                  296. de .300. hoc eſt .2.
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                  cum circa .49. quinquageſimis, quæ
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                  quidem quantitas, cum propinquiſſi
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                  ma ſit lineæ
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                  trium integrorum di
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                  reſiduum, hoc eſt axem
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                  quæſitum portionis
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                  eſſe circa .4
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                  integra cum tertia parte vnius inte-
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                <head xml:id="echoid-head398" xml:space="preserve">DE ERRORIBVS THOMAE PORCACHII
                  <lb/>
                & Benedicti Bordonij in eorum inſularijs.</head>
                <head xml:id="echoid-head399" style="it" xml:space="preserve">Excellentißimo D. lo. Baptiſtæ Fæmello Ciui
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                Tau-
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                rinenſi Philoſopho, Medico, & in Accademia eius
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                Ciuitatis Medicinæ Practicæ Ordinario,
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                  marioq́ꝫ</reg>
                profeßori celeberrimo.</head>
                <p>
                  <s xml:id="echoid-s3336" xml:space="preserve">DIj perdant tuas adeo moleſtas, & aſſiduas curas, quæ te nimis à ſuauiori-
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                  bus ſtudijs diſtrahunt, & à nobis longius abducunt. </s>
                  <s xml:id="echoid-s3337" xml:space="preserve">Nam, ut tibi
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                  ,
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                  ita mihi ingentem adimunt voluptatem. </s>
                  <s xml:id="echoid-s3338" xml:space="preserve">Sed ne in aliquo erga te defi-
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                  cere videar, quæ tibi olim promiſi, nunc mitto.</s>
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                <p>
                  <s xml:id="echoid-s3339" xml:space="preserve">Negari quidem non poteſt, quin fuerit laborioſum opus Porcachij, & Benedicti
                    <lb/>
                  Bordonij, hoc eſt inſularium, qui rectè etiam feciſſent, cum loqui eos oportebat de
                    <lb/>
                  terminis ſphæræ ratione ſitus locorum, ſi ſeipſos alicuius excellentis Coſmographi
                    <lb/>
                  conſilio ſubmiſiſſent. </s>
                  <s xml:id="echoid-s3340" xml:space="preserve">Conſidera quæſo, quomodo admitti poſſit, id quod ait Por-
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                  cachius initio ſui operis, ideſt Iſlandiam ſub Polo arctico iacere, inter auſtrum, &
                    <lb/>
                  boream: </s>
                  <s xml:id="echoid-s3341" xml:space="preserve">omittamus etiam quod idem in Proęmio lib. ſecundi, vbi ait Biarmiam,
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                  (& non Iſlandiam) eſſe ſub dicto polo arctico: </s>
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                  principio repetit ipſam
                    <lb/>
                  Iſlandiam inter auſtrum, & boream per centum leucas Germanicas extendi, dein-
                    <lb/>
                  de verſus occidentem, ea duo ſtupenda miracula conſpici. </s>
                  <s xml:id="echoid-s3343" xml:space="preserve">Vide quæſo, quomodo
                    <lb/>
                  incolę ſub aliquo ex polis, habere poſſint occidentem, orientem, magiſtrum,
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                  , </s>
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