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-head189" style="it" xml:space="preserve">JACOBO SOLDATO MEDIOLANENSI
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              Serenißimi Ducis Sabaudiæ Architecto peritißimo.</head>
              <head xml:id="echoid-head190" xml:space="preserve">CAP. VII.</head>
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                  <emph style="sc">SVperioribvs</emph>
                diebus non diu poſtquam de perſpectiuis inter nos ſermonem
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                habuimus, dum animus totus adhuc in his eſſet. </s>
                <s xml:id="echoid-s1608" xml:space="preserve">Illud in mentem venit quòd exi
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                mius ille vir, & profundiſſimæ doctrinæ, nec vnquam ſatis laudatus Daniel Barba-
                  <lb/>
                rus ſe accepiſſe profitetur à Ioanne Zamberto patritio Veneto, qui ad verbum om
                  <lb/>
                nia deſumpſerat a Ioanne Cuſino Pariſienſe. </s>
                <s xml:id="echoid-s1609" xml:space="preserve">Nec parum mirabar peritiſſimum il-
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                lum Cuſinum, quod in capite quarto ſecundæ partis perſpectiuæ, vt quodpiam pla-
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                num quadrilaterum in quadratam figuram redigeret, ſuper vnam datam
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                qua-
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                dratam compoſuiſſe. </s>
                <s xml:id="echoid-s1610" xml:space="preserve">Non animaduertens diſtantiam aut interuallum
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                degra-
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                datum ín linea
                  <var>.b.f.</var>
                (quod eſt
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                ) ita eſſe poſſe latus parallelogrammi rectanguli
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                magis longi quam lati, aut magis lati quam longi, vt etiam latus quadrati, quod be-
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                neficio ſubſcriptæ hic figuræ facilè depræhendi poteſt. </s>
                <s xml:id="echoid-s1611" xml:space="preserve">Vbi
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                latitudo eſſe po-
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                teſt, tam perfecti degradati in triangulo
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                aut in triangulo
                  <var>.b.q.t.</var>
                quam in trian
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                <s xml:id="echoid-s1612" xml:space="preserve">Sed perfectum degradati in triangulo
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                & perfectum degradatum in triangulo
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                magis latum quam longum, & perfe-
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                ctum degradati in triangulo
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                quadratum erit quemadmodum à meis etiam fi-
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                guris
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                ſcientificè intelligi poteſt. </s>
                <s xml:id="echoid-s1613" xml:space="preserve">Hinc, ad inueniendum perfectum alicuius pla-
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                ni degradati, non ſufficere degradationem ſolum interualli inter duos terminos
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                ſolos, ideſt
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                aſſignare, apertè patet, quia non omnia parallelogramma. perfecta
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                ab vno
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                interuallo producuntur, eo
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                non ſunt omnia quadrata. </s>
                <s xml:id="echoid-s1614" xml:space="preserve">Ad
                  <reg norm="inquirendum" type="context">inquirendũ</reg>
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                igitur perfectum alicuius plani
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                , alicuius propoſiti degradati, oportet
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                vniuerſam degradationem tam latitudinis,
                  <reg norm="quam" type="simple">ꝗ̃</reg>
                longitudinis, &
                  <reg norm="non" type="context">nõ</reg>
                folius longitudinis
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                aſſignare; </s>
                <s xml:id="echoid-s1615" xml:space="preserve">Vt
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                gratia, in ſubſcripta hic figura,
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                inuenire perfectum paral
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                lelogrammum degradati
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                dando diſtantiam orizontalem
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                à pede
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                ho-
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