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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                dio minus denſo, quàm ipſum ſit, (quia in medio ſe denſiore ſi poner etur, non graue
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                <s xml:id="echoid-s2029" xml:space="preserve">& poſito deinde eodem cor
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                <s xml:id="echoid-s2030" xml:space="preserve">Dico proportionem velocitatis eiuſdem corporis per
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                vt eſt etiam rationi conſonum, magis quàm ſi dicamus huiuſmodi velocitates
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                eſſe, vt
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                citatum, duorum corporum hetereogeneorum, ſed ſimilium figura, & magnitudine
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                æ qualium, in vno ſolo medio, æqualem eſſe
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                proportioni ponderum ipſorum, vt ſi dicam?</s>
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                proportionem velocitatum vnius ſolum cor-
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                poris per diuerſa media eandem eſſe cum ea.
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                quæ eſt
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              <head xml:id="echoid-head247" style="it" xml:space="preserve">Poſſe uelocitatem alicuius corporis proportionem contrariam
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              in diuerſis medijs habere cum denſitate eorum.</head>
              <head xml:id="echoid-head248" xml:space="preserve">CAP. III.</head>
              <p>
                <s xml:id="echoid-s2033" xml:space="preserve">POſſibile eſt in rerum natura corpus aliquod huiuſmodi denſitate præditum re-
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                periri, vt velocitas eius motus naturalis per aerem, velocitati per aquamita pro
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                portionata exiſtat, vt eſt
                  <reg norm="denſitas" type="context">dẽſitas</reg>
                aquæ denſitati aeris. </s>
                <s xml:id="echoid-s2034" xml:space="preserve">Denſitas aquæ notetur (exem-
                  <lb/>
                pli gratia) per
                  <var>.u.i.</var>
                & ea, quæaeris eſt per
                  <var>.e.i.</var>
                & pondus alicuius corporis in aere per
                  <lb/>
                  <var>e.a.</var>
                & pondus eiuſdem corporis in aqua per
                  <var>.u.a.</var>
                ita tamen, quod eadem proportio
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                ſit
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                ad
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                vt
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                ad
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                vnde per vltimam ſuppoſitionem
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                capitis, pro
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                  <var>e.a.</var>
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              <head xml:id="echoid-head249" style="it" xml:space="preserve">Oſcitanter ab Ariſtotele nonnibil prolatum cap 8.
                <lb/>
              lib. 4 Phyſicorum.</head>
              <head xml:id="echoid-head250" xml:space="preserve">CAP. IIII.</head>
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                ſicorum ſcribit, velocitates ſcilicet motuum alicuius corporis per diuerſa me-
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                dia, proportionatas eſſe denſitatibus eorundem mediorum. </s>
                <s xml:id="echoid-s2036" xml:space="preserve">Quocirca, ſit propor-
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                .et
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                vt ponderis alicuius
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                corporis in aere ad pondus eiuſdem in aqua, ita tamen vt maior aut minor propor-
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                tio ſit
                  <var>.e.a.</var>
                ad
                  <var>.u.a.</var>
                quam
                  <var>.u.i.</var>
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                vnde exiſtente proportione velocitatis per
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