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.
Page: 191 (179)
[4.19.] Quam ſit inanis ab Ariſtotele ſuſcepta demonſtratio quod uacuum non detur. CAP. XIX.
Page: 191 (179)
[4.20.] Non ſatis dilucidè Ariſtotelem de loco ratiocinatum fuiße. CAP. XX.
Page: 192 (180)
[4.21.] Vtrum bene Aristoteles ſenſerit de infinito. CAP. XXI.
Page: 193 (181)
[4.22.] Exagitatur ab Ariſtotele adductatemporis definitio. CAP. XXII.
Page: 194 (182)
[4.23.] Motum rectum eſſe continuum, uel dißentiente Ariſtotele. CAP. XXIII.
Page: 195 (183)
[4.24.] Idem uir grauisſimus an bene ſenſerit de motibus corporum uiolentis & natur alibus. CAP. XXIIII.
Page: 196 (184)
[4.25.] Motum rectum & natur alem non eſſe primo & per ſe quicquid Ariſtoteli uiſum ſit. CAP. XXV.
Page: 196 (184)
[4.26.] Omne corpus eſſe in loco proprio graue, ut Aristoteli placuit, non eft admittendum. CAP. XXVI.
Page: 197 (185)
[4.27.] Haud admittendam opinionem Principis Peripateticorum de circulo, & ſpbæra. CAP. XXVII.
Page: 197 (185)
[4.28.] Occultam fuiße grauisſimo Stagirit & canſam ſcintilla-tionis ſtellarum. CAP. XXVIII.
Page: 198 (186)
[4.29.] Daricontinuum infinitum motum ſuper rectam at que finitam lineam. CAP. XXIX.
Page: 198 (186)
[4.30.] Non eſſe ſolis calorem à motu localι ipſius corporis ſolaris, ut Ariſtoteli placuit. CAP. XXX.
Page: 199 (187)
[4.31.] Vnde caloris ſolis prode at incrementum & state, et byeme decrementum. CAP. XXXI.
Page: 200 (188)
[4.32.] Nullum corpus ſenſus expers à ſono offendi, præterquam Aristoteles crediderit. CAP. XXXII.
Page: 201 (189)
[4.33.] Pytagoreorum opinionem de ſonitu corporum cælestium non fuiſſe ab Aristotele ſublatam. CAP. XXXIII.
Page: 202 (190)
[4.34.] Deraro et denſo nonnulla, minus diligenter à Peripateticis perpenſa. CAP. XXXIIII.
Page: 203 (191)
[4.35.] Motum rectum curuo poſſe comparari etiam diſentiente Ariſtotele. CAP. XXXV.
Page: 206 (194)
[4.36.] Minus ſufficienter exploſam fuiſſe ab Ariſtotele opinionem cre-dentium plures mundos exiſtere. CAP. XXXVI.
Page: 207 (195)
[4.37.] Anrectè loquutus ſit Phyloſopbus de extenſione luminis per uacuum. CAP. XXXVII.
Page: 208 (196)
[4.38.] An rectè phyloſophiœ penus Ariſtoteles ſenſerit de loco im-pellendo à pyramide. CAP. XXXVIII.
Page: 208 (196)
[4.39.] Examinatur quam ualida ſit ratio Aristotelis de inalterabilitate Cœli. CAP. XXXIX.
Page: 209 (197)
[5.] IN QVINTVM EVCLIDIS LIBRVM
Page: 210 (198)
[Item 5.1.]
Page: 210 (198)
[5.1.1.] Horum autem primum est.
Page: 210 (198)
[5.1.2.] SECVNDVM.
Page: 210 (198)
[5.1.3.] TERTIVM. Quę est εuclidis ſeptima propoſitio.
Page: 210 (198)
[5.1.4.] QVARTVM. εuclidis uerò nona propoſitio.
Page: 211 (199)
[5.1.5.] QVINTVM. Euclidis uerò octaua propoſitio.
Page: 211 (199)
[5.1.6.] SEXTVM. εuclidis uerò decima propoſitio.
Page: 211 (199)
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                <head xml:id="echoid-head386" xml:space="preserve">DE ICTV BOMBARDAE SECVNDVM
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                diuerſas eleuationes. Et de quibuſdam erroribus Nico-
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                lai Tartaleæ, circa idem.</head>
                <head xml:id="echoid-head387" style="it" xml:space="preserve">Fllustri D. Ioſepho Cambiano ex Ruffia Dominis, aquiti
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                ſtrenuo, & tormentis bellicis Serenißimi Ducis
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                Sabaudia Prafecto.</head>
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                  <s xml:id="echoid-s3242" xml:space="preserve">EXcogitaui quędam dum ocio frui licuit per abſentiam Ducis Sereniſſimi,
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                  re non dubitem, ſi deſpexeris, ocius ſupprimam, ſunt autem huiuſmodi.</s>
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                  <s xml:id="echoid-s3243" xml:space="preserve">Vnde fiat vt tormentum bellicum vehementi
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                  feriat ictu ſuperius delato
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                  quam orizontali, vt Tartalea ſcribit, quæſito ſecundo libr. primi quæſitorum, à ne-
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                  mine adhuc (quod ſciam) traditum eſt.</s>
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                  <s xml:id="echoid-s3244" xml:space="preserve">Rationes verò Tartaleæ nullius ſunt momenti, quia ſi validæ eſſent, ſequeretur
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                  vt inclinata bombarda, adeo vt angulus ſub orizonte factus æqualis eſſet ei, qui ſu
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                  pra orizontem eſt, ictum bombardę in vtroque huiuſmodi ſitu eundem eſſe
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                  <s xml:id="echoid-s3245" xml:space="preserve">& ſi aliqua differentia oriretur ratione granitatis pilæ ab ipſa bombarda emiſſæ, hoc
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                  fieret, vt ſcilicet velocior eſſet in motu inclinato quam in eleuato cum pondus, mo-
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                  tui adeo non opponatur. </s>
                  <s xml:id="echoid-s3246" xml:space="preserve">Id quod non ita se habet, vera enim cauſa vnde fiat, vt bom
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                  nere, cum ea, qua aliquod corpus materia magis denſa, ſed ſimile & ęquale alteri cor
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                  pori materiæ minus denſæ velocius mouetur ab vna eademq́ue, aut æquali vi
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                  compulſum. </s>
                  <s xml:id="echoid-s3247" xml:space="preserve">Eſt eadem etiam in ſpecie ei, qua maiorem effectum producit
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                  cluditur. </s>
                  <s xml:id="echoid-s3248" xml:space="preserve">Eſt etiam ſimilis ei, qua longius impellitur pila, qua ludimus, ab ali-
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                  quo inſtrumento ligneo, quando percutitur contra, quam cum ſecundum ſuum mo-
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                  tum proijcitur. </s>
                  <s xml:id="echoid-s3249" xml:space="preserve">Id quod inde fit, quia virtus mouens maiori vi, & intenſiori huiuſ-
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                  modi corpus percutit, quia corpus quod moueri debet, quanto magis reſiſtit virtu-
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                  ti mouenti (certum tamen terminum præſcribendo) in exiguo eo temporis ſpatio,
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                  tanto maiorem virtutem colligit, quæ ipſum deinde tanto cum impetu mo-
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                  uet, & tanto magis impellens concomitatur, vt maiorem effectum efficiat, quam ſi
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                  ad mouendum ſeſe facilè reddidiſſet. </s>
                  <s xml:id="echoid-s3250" xml:space="preserve">Atque hoc ſupradictis ictibus eleuatis acci-
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                  dit, quia grauitas pilæ, ea eſt quæ reſiſtens virtuti mouenti, dat ei commoditatem
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                  uationem eam
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                  ligitur multo plus eo, quod ad impellendam dictam pilam ſufficeret, ratione magnæ
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                  velocitatis augumenti, quia quanto plus temporis ei conceditur ad commutandam
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                  puluerem in ignem, tanto maior quantitasignis progignitur, vnde fit, vt tanto ma-
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                  iori loco indigeat, quamobrem tanto magis impellit, ſed vt dixi, tanta cum veloci-
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                  tate
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                  , vt huiuſmodi virtus longè ſuperet
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                  pilæ, & ſic eſt cau
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                  fa, ut effectus, quod
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                  in tertio quæſito ad aliquod impoſſibile, circa iter ipſius pilæ Legatum Hiſpanum </s>
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