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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            <div xml:id="echoid-div416" type="section" level="3" n="19">
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                  <pb o="180" rhead="IO. BAPT. BENED." n="192" file="0192" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0192"/>
                dicto corpori
                  <var>.Q</var>
                . </s>
                <s xml:id="echoid-s2137" xml:space="preserve">Nunquam remanſuram ſuam totalem grauitatem
                  <var>.a.b.</var>
                in quolibet
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                ex-dictis medijs. </s>
                <s xml:id="echoid-s2138" xml:space="preserve">Nunc ſi quærat à me Ariſtoteles proportionem velocitatis corpo-
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                ris
                  <var>.Q.</var>
                per vacuum ad velocitatem dicti corporis per plenum, ego ei proponam pro-
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                portionem ipſius
                  <var>.a.b.</var>
                ad
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                exempli gratia, dicens,
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                ip ſo
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                ſic etiam corpus
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                velocius erit in vacuo, quàm in pleno, dicti autem ple-
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                ni denſitatem appellabimus
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                <s xml:id="echoid-s2139" xml:space="preserve">Ariſtoteles dicet nunc,
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                aliud quoddam medium
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                in eadem proportione ſubtilius ipſo
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                deſumatur; </s>
                <s xml:id="echoid-s2140" xml:space="preserve">quemadmodum
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                minus eſt
                  <lb/>
                ipſo
                  <var>.a.b.</var>
                ſit ergo iſtud
                  <var>.i.b.</var>
                in quo Ariſtoteles credit corpus Q. futurum tam velox ut
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                in vacuo, in quo aberrat,
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                proportio velocitatis corporis
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                in medio
                  <var>.i.b.</var>
                ad velo
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                citatem eiuſdem in medio
                  <lb/>
                  <var>e.b.</var>
                ita ſe hàbebit, ut
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                ad
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                  <var>e.a.</var>
                ex ultimo ſuppoſito ca
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                pit .2. huius libr. quæ minor
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                eſſet ea, quæ eſt
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                ad
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                ex .8. lib. quinti Eucli.</s>
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              <head xml:id="echoid-head281" style="it" xml:space="preserve">Non ſatis dilucidè Ariſtotelem de loco ratiocinatum fuiße.</head>
              <head xml:id="echoid-head282" xml:space="preserve">CAP. XX.</head>
              <p>
                <s xml:id="echoid-s2141" xml:space="preserve">QVæ Ariſtoteles de loco ſcribit multas in ſe continent difficultates. </s>
                <s xml:id="echoid-s2142" xml:space="preserve">Primum,
                  <lb/>
                cap .4. lib. 4. phyſicorum ait, omne corpus eſſe in ſuo proprio loco, ſupponen
                  <lb/>
                do vnum centrum pro loco grauium, et unam circunferentiam pro loco leuium cor
                  <lb/>
                porum. </s>
                <s xml:id="echoid-s2143" xml:space="preserve">Sed quomodo punctum poteſt eſſe locus ipſius corporis, cum omni dimen
                  <lb/>
                ſione
                  <reg norm="capacitateque" type="simple">capacitateq́;</reg>
                ſit denudatum? </s>
                <s xml:id="echoid-s2144" xml:space="preserve">vnde ſi
                  <reg norm="centrum" type="context">centrũ</reg>
                locus eſſet corporum grauium, om
                  <lb/>
                nia dicta corpora grauia, extra proprium locum exiſterent, quia nullum ex iis eſt,
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                ſit in centro. </s>
                <s xml:id="echoid-s2145" xml:space="preserve">Adde quod neque hoc cum loci definitione ab ipſo poſita conſentiret
                  <lb/>
                cum ipſe dicat in eodem cap. locum eſſe ſuperſiciem quandam, & non interuallum,
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                licet huiuſmodi definitio falſa appareat primo ex
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                falſo, quod ipſe hinc
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                ſequuturum dicit, ideſt, quod ſi locus interuallum eſſet, infinita loca exiſterent, quod
                  <lb/>
                reuera nec ob hanc cauſam inconueniens exiſtit, quia eodem planè modo quo ali-
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                quod corpus poteſt eſſe infinita corpora, (quod ipſe diceret in potentia) ſic etiam in
                  <lb/>
                teruallum aliquod poſſet eſſe infinita interualla. </s>
                <s xml:id="echoid-s2146" xml:space="preserve">Cum autem dicat ſuperficies cor-
                  <lb/>
                poris ambientis eſſe locum eius corporis, quod continetur, cogitur dicere lineam,
                  <lb/>
                quæ circundat ſuperficiem, ſuperficiei locum eſſe, & puncta ipſius lineæ, quod reue
                  <lb/>
                ra abſurdum eſt. </s>
                <s xml:id="echoid-s2147" xml:space="preserve">Locus corporis eſt interuallum illud eadem magnitudine & figu-
                  <lb/>
                ra, qua corpus ipſum pręditum eſt, quod ſi non eſſet, ſed eſſet ſuperficies, quemad-
                  <lb/>
                modum Ariſtoteles voluit, maximum inconueniens ſequeretur, ſcilicet æquales lo-
                  <lb/>
                cos capere inęqualia corpora, aut corpora æqualia, locos inęquales occupare, quod
                  <lb/>
                ſcitu facillimum eſt, cum Theon ſuper Ptolomęi Almageſtum iam probarit ſphæ-
                  <lb/>
                ricam ſuperficiem maius interuallum corporeum continere, quàm aliam
                  <reg norm="quanuis" type="context">quãuis</reg>
                ſu-
                  <lb/>
                perficiem dictæ ſphęricæ æqualem, vnde poſſent facilè reperiri duo loci, quorum al-
                  <lb/>
                ter millies altero maior eſſet, capaces tamen corporum æqualium, aut reperiri duo
                  <lb/>
                corpora, quorum alterum millies maius eſſet altero, quę tamen corpora apta eſſent
                  <lb/>
                ad occupandos locos ęquales, quamuis Ariſtoteles dicat, locum, neque maiorem ne
                  <lb/>
                que minorem eſſe debere locato. </s>
                <s xml:id="echoid-s2148" xml:space="preserve">Sed interualla corporea ęqualia à quauis figura
                  <lb/>
                terminata, continebunt ſemper corpora ęqualia. </s>
                <s xml:id="echoid-s2149" xml:space="preserve">Corporeum igitur interuallum eſt </s>
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