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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[2.9.] CAP. IX.
Page: 141 (129)
[2.10.] CAP.X.
Page: 142 (130)
[2.11.] CAP. XI. ALITER IDEM.
Page: 143 (131)
[2.12.] JACOBO SOLDATO MEDIOLANENSI Serenißimi Ducis Sabaudiæ Architecto peritißimo. CAP. VII.
Page: 145 (133)
[2.13.] AD EVNDEM IACOBVM. CAP. XIII.
Page: 149 (137)
[2.14.] CAP. XIIII.
Page: 150 (138)
[2.15.] CAP. XV.
Page: 152 (140)
[3.] DE MECHANICIS.
Page: 153 (141)
[3.1.] De differentia ſitus brachiorum libra. CAP.I.
Page: 153 (141)
[3.2.] De proportione ponderis extremitatis brachij libr & in diuerſo ſitu ab orizontali. CAP. II.
Page: 154 (142)
[3.3.] Quòd quantit as cuiuſlibet ponderis, aut uirtus mouens re-ſpectu alterius quantitatis cognoſcatur beneficio perpendicularium ductarum à centro libr & ad line am inclinationis. CAP. III.
Page: 155 (143)
[3.4.] Quemadmodum exſupradictis cauſis omnes staterarum & uectium cauſæ dependeant. CAP. IIII.
Page: 156 (144)
[3.5.] De quibuſdam rebus animaduerſione dignis. CAP.V.
Page: 157 (145)
[3.6.] De ratione cuiuſdam uis adauctæ. CAP. VI.
Page: 158 (146)
[3.7.] De quibuſdam erroribus Nicolai Tartaleæ circa pondera corporum & eorum motus, quorum aliqui deſumpti fuerunt à fordano ſcriptore quodam antiquo. CAP. VII.
Page: 160 (148)
[3.8.] CAP. VIII.
Page: 161 (149)
[3.9.] Quòdſummaratione ſtateræper æqualia interualla ſint diuiſæ. CAP. IX.
Page: 163 (151)
[3.10.] Quòd line a circularis non habe at concauum cum con-uexo coniunctum, & quod Aristo. cir caproportio nes motuum aberrauerit. CAP.X.
Page: 164 (152)
[3.11.] Quod Aristo. in prima mechanicarum quæstionum eius quod inquir it, uer am cauſam non attulerit. CAP. XI.
Page: 165 (153)
[3.12.] De uer a cauſa ſecundæ, & tertiæ quæstionis mechanicæ ab Ariſtotele nonperſpecta. CAP. XII.
Page: 166 (154)
[3.13.] Quòd Ariſtotelisratio in 6. quæſtione poſit a non ſit admittenda. CAP. XIII.
Page: 167 (155)
[3.14.] Quòdrationes ab Ariſtotele de octaua quæstione confictæ ſufficient es non ſint. CAP. XIIII.
Page: 167 (155)
[3.15.] Quod Aristotelis ratio none queſtionis admittendanon ſit. CAP. XV.
Page: 171 (159)
[3.16.] Quod Aristotelis rationes de decima queſtione ſint reijciende. CAP. XVI.
Page: 171 (159)
[3.17.] De uer a cauſa .12. questionis mechanice. CAP. XVII.
Page: 172 (160)
[3.18.] De decimatertia questione. CAP. XVIII.
Page: 173 (161)
[3.19.] De decimaquart a queſtione. CAP. XIX.
Page: 173 (161)
[3.20.] De uer a r atione .17. queſtionis. CAP. XX.
Page: 174 (162)
[3.21.] De uera & intrinſeca cauſa trocble arum. CAP. XXI.
Page: 175 (163)
[3.22.] Depropria cauſa .24. quæſtionis. CAP. XXII.
Page: 177 (165)
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                ab co quod fit extra ſuum locum, vbi contra naturam ſuam reperitur. </s>
                <s xml:id="echoid-s2214" xml:space="preserve">Vnde hu-
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                iuſmodi motus, partim & non omninò, naturalis eft. </s>
                <s xml:id="echoid-s2215" xml:space="preserve">Is autem proprius eſt & natura
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                lis motus, qui dicti corporis eſſentiam conſeruat. </s>
                <s xml:id="echoid-s2216" xml:space="preserve">hoc autem non præſtat hic rectus,
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                cum deſtruat, ergò hic motus primò & per ſe naturalis non eft.</s>
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              <head xml:id="echoid-head293" style="it" xml:space="preserve">Omne corpus eſſe in loco proprio graue, ut Aristoteli placuit,
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              non eft admittendum.</head>
              <head xml:id="echoid-head294" xml:space="preserve">CAP. XXVI.</head>
              <p>
                <s xml:id="echoid-s2217" xml:space="preserve">ARift .4. cap. lib. 4. de cęlo fic ſcribit.</s>
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              <p>
                <s xml:id="echoid-s2218" xml:space="preserve">Suo enim in loco grauitatem habent omnia præter ignem, fignum cuius eft
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                vtrem inflatum plus ponderis, quam vacuum habere, & c.</s>
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                <s xml:id="echoid-s2219" xml:space="preserve">Quo in loco, manifeftè indicat ſe caufam nec grauitatis, nec leuitatis corporum
                  <lb/>
                naturalium nofce, quæ eft denfitas auto raritas corporis grauis, aut leuis, maior denſi-
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                tate, aut raritate medij permeabilis, in quo reperitur.</s>
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                <s xml:id="echoid-s2220" xml:space="preserve">Exemplum
                  <reg norm="qui" type="simple">ꝗ</reg>
                ipſe de vtre inflato proponit, debuiſſet ſaltem ei oculos ad verita-
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                tem, quæ clarisſimè fulget, inſpiciendum aperire. </s>
                <s xml:id="echoid-s2221" xml:space="preserve">Verisſimum eſt, vtrem inflatum
                  <lb/>
                plus ponderis habere quàm vacuum, aut quando aer in eo non eft per vim inclufus.</s>
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              <p>
                <s xml:id="echoid-s2222" xml:space="preserve">Ratio autem huius rei eft, quia quando inflatus eft, ea quantitas aeris, in eum
                  <lb/>
                per vim iniecti, minorem occupat locum, quàm ſi eidem liberè vagari permit-
                  <lb/>
                teretur, vnde violenter, quodam modo, con denfata eft, & quia corpus denfum in
                  <lb/>
                minus denfo, femper deſcendit, & minus denſum in magis denſo aſcendit. </s>
                <s xml:id="echoid-s2223" xml:space="preserve">Hanc ob
                  <lb/>
                caufam vter inflatus plenus corpore magis denſo, quàm eft medium quod eum cir-
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                cundat, deſcendit, non quia aer inaere, aut aqua in aqua fit grauis.</s>
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              <head xml:id="echoid-head295" style="it" xml:space="preserve">Haud admittendam opinionem Principis Peripateticorum
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              de circulo, & ſpbæra.</head>
              <head xml:id="echoid-head296" xml:space="preserve">CAP. XXVII.</head>
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                <s xml:id="echoid-s2224" xml:space="preserve">CVm Ariftoteles fenſerit circulum eſſe figurarum ſuperficialium
                  <reg norm="primam" type="context">primã</reg>
                , &
                  <reg norm="ſphae­ ram" type="simple context">ſphę­
                    <lb/>
                  rã</reg>
                eſſe
                  <reg norm="primam" type="context">primã</reg>
                  <reg norm="corporearum" type="context">corporearũ</reg>
                  <reg norm="prope" type="wordlist">ꝑꝑ</reg>
                  <reg norm="earum" type="context">earũ</reg>
                periferias, decipitur. </s>
                <s xml:id="echoid-s2225" xml:space="preserve">Sunt enim vltimæ,
                  <lb/>
                non primæ. </s>
                <s xml:id="echoid-s2226" xml:space="preserve">Sunt quidem (in quò rectè ſentit) perfectè, licet rationem huius rei non
                  <lb/>
                nouerit. </s>
                <s xml:id="echoid-s2227" xml:space="preserve">Nam
                  <reg norm="centrum" type="context">centrũ</reg>
                cuiuſlibet rei, eiuſdem rei
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                eft, & eę figurę, quæ ipſum
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                æqualiter circundant, poſſunt appellari perſectæ, ſiue ſint ſuperficiales, ſiue corpo-
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                reæ, & ècontrà illæ, quæ contrario modo ſe habent, imperfectæ. </s>
                <s xml:id="echoid-s2228" xml:space="preserve">Quòd autem per-
                  <lb/>
                ſectum eſt, licet natura fit primum, eſt tamen vltimum generatione. </s>
                <s xml:id="echoid-s2229" xml:space="preserve">Sed quando
                  <lb/>
                Ariftoteles duas dictas figuras pronuntiauit primas, vt perfectas, prioritate ſcilicet
                  <lb/>
                ea, quæ oritur à perfectione, verum dixit; </s>
                <s xml:id="echoid-s2230" xml:space="preserve">fed quando de figuris ſuperficialibus lo-
                  <lb/>
                quens, vult circulum effe primum, quia ab vna
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                linea terminetur; </s>
                <s xml:id="echoid-s2231" xml:space="preserve">
                  <reg norm="non" type="context">nõ</reg>
                minus pro
                  <lb/>
                circulo, quam pro oxigonia ſeu elipſi, aut cucurbitali, aut aliis multis figuris ab vna
                  <lb/>
                tantum linea terminatis concludit. </s>
                <s xml:id="echoid-s2232" xml:space="preserve">Neque etiam hæc ratio perfectionem circuli
                  <reg norm="mon" type="context">mõ</reg>
                  <lb/>
                ſtrat, quia aliæ figuræ, à lineis curuis terminatę, eandem conditionem fortiuntur.
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                </s>
                <s xml:id="echoid-s2233" xml:space="preserve">Circulus ſphę
                  <reg norm="raque" type="simple">raq́;</reg>
                , non ex vno ſolo angulo recto conſtant, vt idem Ariftoteles putat </s>
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