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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[3.13.] Quòd Ariſtotelisratio in 6. quæſtione poſit a non ſit admittenda. CAP. XIII.
[3.14.] Quòdrationes ab Ariſtotele de octaua quæstione confictæ ſufficient es non ſint. CAP. XIIII.
[3.15.] Quod Aristotelis ratio none queſtionis admittendanon ſit. CAP. XV.
[3.16.] Quod Aristotelis rationes de decima queſtione ſint reijciende. CAP. XVI.
[3.17.] De uer a cauſa .12. questionis mechanice. CAP. XVII.
[3.18.] De decimatertia questione. CAP. XVIII.
[3.19.] De decimaquart a queſtione. CAP. XIX.
[3.20.] De uer a r atione .17. queſtionis. CAP. XX.
[3.21.] De uera & intrinſeca cauſa trocble arum. CAP. XXI.
[3.22.] Depropria cauſa .24. quæſtionis. CAP. XXII.
[3.23.] De uer a cauſa .30. quæstionis. CAP. XXIIII.
[3.24.] Deratione .35. & ultimæ quæstionis. CAP. XXV.
[4.] DISPVTATIONES DE QVIBVSDAM PLACITIS ARISTOTELIS.
[4.1.] Qualiter & ubi Ariſtoteles de uelocitate motuum natura-lium localium aliter tractauerit quam nos ſentiamus. CAP.I.
[4.2.] Quædam ſupponenda ut conſtet cur circa uelocit atem motuum natur alium localium ab Ariſtotelis placitis recedamus. CAP. II.
[4.3.] Poſſe uelocitatem alicuius corporis proportionem contrariam in diuerſis medijs habere cum denſitate eorum. CAP. III.
[4.4.] Oſcitanter ab Ariſtotele nonnibil prolatum cap 8. lib. 4 Phyſicorum. CAP. IIII.
[4.5.] Exempla dictorum. CAP.V.
[4.6.] Quod proportiones ponderum eiuſdem corporis in diuerſis medijs pro portiones eorum mediorum denſit atum non ſeruant. Unde ne-ceßariò inæquales proportiones uelocitatum producuntur. CAP. VI.
[4.7.] Corpora grauia aut leuia eiuſdem figur æ et materiæ ſed inæqualis magnitudinis, in ſuis motibus natur alibus uelocit atis, in eo dem medio, proportionem longè diuerſam ſeruatura eße quam Aristoteliuiſum fuerit. CAP. VII.
[4.8.] Quod duo corpor a in æqualia eiuſdem materia in diuerſis medijs eandem uelocitatis proportionem retinebunt. CAP. VIII.
[4.9.] Anrectè Aristoteles diſeruerit de proportionibus mo-tuum in uacuo. CAP. IX.
[4.10.] Quòd in uacuo corpor a eiuſdem materiæ æquali uelocita-te mouerentur. CAP.X.
[4.11.] Corpora licet inæqualia eiuſdem materiæ & figuræ, ſireſiſten-tias habuerint ponderibus proportionales æqualiter mouebuntur. CAP. XI.
[4.12.] Maior hic demonſir atur eſſe proportio ponder is corpor is den ſioris ad pondus minus denſi in medijs dẽſioribus, quam ſit eorundem corporum in medio minus denſo, nec corporum ponder a ſeruare proportionem denſitatis mediorum. CAP. XII.
[4.13.] Longe aliter ueritatem ſe habere quam Aristoteles doceat in fine libri ſeptimi phyſicorum. CAP. XIII.
[4.14.] Quid ſequatur ex ſupradistis. CAP. XIIII.
[4.15.] Numrestè ſenſerit Philoſophus reſistentias proportionales eße cum corporibus mobilibus. CAP. XV.
[4.16.] Fdipſum aliter demonſtr atur. CAP. XVI.
[4.17.] De alio Aristo. lapſu. CAP. XVII.
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                <s xml:id="echoid-s1543" xml:space="preserve">Ad cuius rei
                  <reg norm="ſpeculationem" type="context">ſpeculationẽ</reg>
                , imaginatione con
                  <lb/>
                  <figure xlink:label="fig-0137-01" xlink:href="fig-0137-01a" number="188">
                    <image file="0137-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0137-01"/>
                    <caption xml:id="echoid-caption11" xml:space="preserve">CORPOREA.</caption>
                  </figure>
                cipiamus lineam
                  <var>.b.c.</var>
                corpoream, protractam eſ
                  <lb/>
                ſe vſque ad
                  <var>.y.</var>
                lineæ
                  <var>.s.n.</var>
                & imaginatione ſit com
                  <lb/>
                  <reg norm="præhenſa" type="context">præhẽſa</reg>
                linea
                  <var>.y.o.</var>
                et
                  <var>.b.</var>
                R
                  <unsure/>
                . parallela eidem, ideo
                  <lb/>
                ob rationes iam dictas de figura
                  <var>.A.</var>
                hæ tres li-
                  <lb/>
                neæ
                  <var>.o.y</var>
                :
                  <var>i.c</var>
                : et. </s>
                <s xml:id="echoid-s1544" xml:space="preserve">R
                  <unsure/>
                  <var>.b.</var>
                ſimul cum linea
                  <var>.o.b.</var>
                erunt
                  <lb/>
                in vna eademq́ue ſuperficie plana, quam cha-
                  <lb/>
                racteribus
                  <var>.y.</var>
                R
                  <unsure/>
                . notemus .et
                  <var>.i.c.</var>
                eius erit ſe-
                  <lb/>
                ctio communis cum plano, in quo quæritur
                  <reg norm="pun- ctum" type="context">pũ-
                    <lb/>
                  ctum</reg>
                , et
                  <var>.f.k.</var>
                ipſius plani cum triangulo
                  <var>.o.b.m.</var>
                  <lb/>
                erit ſectio communis, & parallela ipſi
                  <var>.q.d.</var>
                ex
                  <ref id="ref-0022">.
                    <lb/>
                  6. lib. 11.</ref>
                quia
                  <var>.k.f.</var>
                perpendicularis eſt ſuperfi-
                  <lb/>
                ciei
                  <var>.p.t.</var>
                ex .19. eiuſdem cum triangulus
                  <var>.o.
                    <lb/>
                  b.m.</var>
                eidem ſuperficiei
                  <var>.p.t.</var>
                ex .18. eiuſdem
                  <lb/>
                perpendicularis exiſtat. </s>
                <s xml:id="echoid-s1545" xml:space="preserve">Vnde perſpicuè pa-
                  <lb/>
                tet ratio quare protracta
                  <unsure/>
                ſit parallela
                  <var>.b.c.</var>
                et
                  <lb/>
                quare ducta ſit
                  <var>.i.c.</var>
                et coniuncta
                  <var>.x.m.</var>
                cum
                  <var>.x.
                    <lb/>
                  p.</var>
                directè, & quare ducta ſit
                  <var>.o.m.</var>
                et
                  <var>.f.k</var>
                . </s>
                <s xml:id="echoid-s1546" xml:space="preserve">Lau-
                  <lb/>
                do igitur vt ſemper præſupponatur
                  <var>.p.x.</var>
                perpen
                  <lb/>
                dicularis baſi ipſius plani & præſupponatur, (vt
                  <lb/>
                rem totam vnò verbo complectar) ſuperficies
                  <var>.
                    <lb/>
                  p.t.</var>
                perpendicularis plano, & orizonti. </s>
                <s xml:id="echoid-s1547" xml:space="preserve">Quod
                  <lb/>
                reliquum eſt, neceſſariv
                  <unsure/>
                m non eſt, niſi ad ſpe-
                  <lb/>
                culandum. </s>
                <s xml:id="echoid-s1548" xml:space="preserve">Neceſſariæ ergo non ſunt aliæli-
                  <lb/>
                neæ, quàm.p.x:
                  <var>p.o.x.i</var>
                :
                  <var>b.c</var>
                : et
                  <var>.x.m.</var>
                è dire-
                  <lb/>
                cto coniuncta cum
                  <var>.p.x.</var>
                (quæ
                  <var>.x.m.</var>
                coniuncta
                  <lb/>
                  <figure xlink:label="fig-0137-02" xlink:href="fig-0137-02a" number="189">
                    <image file="0137-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0137-02"/>
                    <caption xml:id="echoid-caption12" xml:space="preserve">SVPERFICIALIS.</caption>
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