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

< >
[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)
< >
page |< < (175) of 445 > >|
    <echo version="1.0">
      <text type="book" xml:lang="la">
        <div xml:id="echoid-div7" type="body" level="1" n="1">
          <div xml:id="echoid-div387" type="chapter" level="2" n="4">
            <div xml:id="echoid-div403" type="section" level="3" n="10">
              <p>
                <s xml:id="echoid-s2083" xml:space="preserve">
                  <pb o="175" rhead="DISPVTATIONES." n="187" file="0187" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0187"/>
                tem mutarent, quorum quodlibet eſſet quoque tam velox, quam eſt .g: igitur
                  <var>.g.</var>
                  <lb/>
                tam velox eſſet quam
                  <var>.o</var>
                .</s>
              </p>
            </div>
            <div xml:id="echoid-div405" type="section" level="3" n="11">
              <head xml:id="echoid-head263" style="it" xml:space="preserve">Corpora licet inæqualia eiuſdem materiæ & figuræ, ſireſiſten-
                <lb/>
              tias habuerint ponderibus proportionales
                <lb/>
              æqualiter mouebuntur.</head>
              <head xml:id="echoid-head264" xml:space="preserve">CAP. XI.</head>
              <p>
                <s xml:id="echoid-s2084" xml:space="preserve">EAdem ratione, quam cap. antecedente præſcripſimus, poſſet oſtendi, ſi duo cor-
                  <lb/>
                pora
                  <var>.o.</var>
                et
                  <var>.g.</var>
                ſuas reſiſtentias, ita ad inuicem proportionatas haberent, utſunt
                  <lb/>
                eorum pondera, in pleno pari velocitate prædita eſſe, quod in fine capitis noni leui
                  <lb/>
                ter attigi, quia punctum
                  <var>.i.</var>
                tam velox eſſet, ut centrum ipſius
                  <var>.o.</var>
                cum à tanto pondere
                  <lb/>
                i. motum eſſet; </s>
                <s xml:id="echoid-s2085" xml:space="preserve">quanto centrum ipſius
                  <var>.o.</var>
                atquetan
                  <lb/>
                  <figure xlink:label="fig-0187-01" xlink:href="fig-0187-01a" number="252">
                    <image file="0187-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0187-01"/>
                  </figure>
                tam reſiſtentiam duo corpora
                  <var>.a.</var>
                et
                  <var>.e.</var>
                  <reg norm="quanta" type="context">quãta</reg>
                ipſum
                  <lb/>
                o. ſolum haberet ex hypotheſi, dicta tamen corpo
                  <lb/>
                ra
                  <var>.a.</var>
                et
                  <var>.e.</var>
                tam ſeparata, quam coniuncta, eandem
                  <lb/>
                velocitatem retinerent
                  <var>.g.</var>
                igitur tam velox eſſet,
                  <lb/>
                quam
                  <var>.o</var>
                .</s>
              </p>
            </div>
            <div xml:id="echoid-div407" type="section" level="3" n="12">
              <head xml:id="echoid-head265" style="it" xml:space="preserve">Maior hic demonſir atur eſſe proportio ponder is corpor is den
                <lb/>
              ſioris ad pondus minus denſi in
                <reg norm="medijs" type="lig">medijs</reg>
                <reg norm="denſioribus" type="context">dẽſioribus</reg>
              , quam
                <lb/>
              ſit eorundem corporum in medio minus denſo, nec
                <lb/>
              corporum ponder a ſeruare proportionem
                <lb/>
              denſitatis mediorum.</head>
              <head xml:id="echoid-head266" xml:space="preserve">CAP. XII.</head>
              <p>
                <s xml:id="echoid-s2086" xml:space="preserve">PRopoſita nobis cum fuerint duo corpora
                  <var>.A.</var>
                et
                  <var>.B.</var>
                area corporea æqualia, quo-
                  <lb/>
                rum
                  <var>.A.</var>
                denſius ſit ipſo
                  <var>.B.</var>
                probabo in medio magis denſo, maiorem proportio
                  <lb/>
                nem futuram ponderis ipſius
                  <var>.A.</var>
                ad pondus
                  <var>.B.</var>
                quàm in medio minus denſo.</s>
              </p>
              <p>
                <s xml:id="echoid-s2087" xml:space="preserve">Sit igitur
                  <var>.p.g.</var>
                pondus totale ipſius corporis
                  <var>.A.</var>
                et
                  <var>.q.k.</var>
                ipſius corporis
                  <var>.B.</var>
                vnde
                  <var>.p.g.</var>
                  <lb/>
                maius erit ipſo
                  <var>.q.k</var>
                . </s>
                <s xml:id="echoid-s2088" xml:space="preserve">Sit quoque
                  <var>.o.g.</var>
                pondus, quod medium magis denſum ſubtra-
                  <lb/>
                hit à pondere
                  <var>.p.g.</var>
                et
                  <var>.n.k.</var>
                ſit pondus, quod idem medium ſubtrahit à pondere
                  <var>.q.k.</var>
                et
                  <lb/>
                  <var>f.g.</var>
                ſit pondus, quod medium minus denſum ſubtrahit à
                  <var>.p.g.</var>
                et
                  <var>.i.k.</var>
                illud, quodid@m
                  <lb/>
                  <reg norm="medium" type="context">mediũ</reg>
                ſubtrahit ab
                  <var>.q.k.</var>
                vnde
                  <var>.o.g.</var>
                æquale erit
                  <var>.n.k.</var>
                et
                  <var>.f.g.</var>
                ipſi
                  <var>.i.k.</var>
                quia quod ad
                  <reg norm="aream" type="context">areã</reg>
                  <lb/>
                attinet, corpora ſupponuntur æqualia, vnde proportio
                  <var>.p.f.</var>
                ad
                  <var>.q.i.</var>
                maior erit ea, quæ
                  <lb/>
                eſt
                  <var>.o.f.</var>
                ad
                  <var>.n.i.</var>
                communi
                  <lb/>
                  <figure xlink:label="fig-0187-02" xlink:href="fig-0187-02a" number="253">
                    <image file="0187-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0187-02"/>
                  </figure>
                ſcientiæ notione, quia ſi
                  <lb/>
                ſcinderet
                  <reg norm="aliquis" type="simple">aliꝗs</reg>
                .p.f. in pun
                  <lb/>
                cto
                  <var>.c.</var>
                ita. vt
                  <var>.c.f.</var>
                æquale eſ-
                  <lb/>
                ſet ipſi
                  <var>.q.i.</var>
                proportio
                  <var>.c.f.</var>
                  <lb/>
                ad
                  <var>.q.i.</var>
                eſſet vt ea, quæ eſt
                  <var>.
                    <lb/>
                  o.f.</var>
                ad
                  <var>.n.i.</var>
                (hoc eſt nulla) </s>
              </p>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum