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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[1.] IO. BAPTISTAE BENEDICTI PATRITII VENETI SERENISS. CAR. EM. ALLOBROGVM DVCIS PHILOSOPHI. Theoremata Arithmetica.
[2.] DE RATIONIBVS OPERATIONVM PERSPECTIVAE.
[2.1.] CAP.I.
[2.2.] CAP. II.
[2.3.] CAP. III.
[2.4.] CAP. IIII.
[2.5.] CAP.V.
[2.6.] CAP. VI.
[2.7.] CAP. VII.
[2.8.] CAP. VIII.
[2.9.] CAP. IX.
[2.10.] CAP.X.
[2.11.] CAP. XI. ALITER IDEM.
[2.12.] JACOBO SOLDATO MEDIOLANENSI Serenißimi Ducis Sabaudiæ Architecto peritißimo. CAP. VII.
[2.13.] AD EVNDEM IACOBVM. CAP. XIII.
[2.14.] CAP. XIIII.
[2.15.] CAP. XV.
[3.] DE MECHANICIS.
[3.1.] De differentia ſitus brachiorum libra. CAP.I.
[3.2.] De proportione ponderis extremitatis brachij libr & in diuerſo ſitu ab orizontali. CAP. II.
[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.
[3.4.] Quemadmodum exſupradictis cauſis omnes staterarum & uectium cauſæ dependeant. CAP. IIII.
[3.5.] De quibuſdam rebus animaduerſione dignis. CAP.V.
[3.6.] De ratione cuiuſdam uis adauctæ. CAP. VI.
[3.7.] De quibuſdam erroribus Nicolai Tartaleæ circa pondera corporum & eorum motus, quorum aliqui deſumpti fuerunt à fordano ſcriptore quodam antiquo. CAP. VII.
[3.8.] CAP. VIII.
[3.9.] Quòdſummaratione ſtateræper æqualia interualla ſint diuiſæ. CAP. IX.
[3.10.] Quòd line a circularis non habe at concauum cum con-uexo coniunctum, & quod Aristo. cir caproportio nes motuum aberrauerit. CAP.X.
[3.11.] Quod Aristo. in prima mechanicarum quæstionum eius quod inquir it, uer am cauſam non attulerit. CAP. XI.
[3.12.] De uer a cauſa ſecundæ, & tertiæ quæstionis mechanicæ ab Ariſtotele nonperſpecta. CAP. XII.
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                lere verſus
                  <var>.u.</var>
                vnde linea eius inclinationis ſit ſemper
                  <var>.a.u.</var>
                ſupponamus etiam
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                  <lb/>
                eſſe
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                , aut ſtateram, aut vectem, &
                  <var>.o.</var>
                eius centrum, vnde vis, aut virtus ipſius
                  <var>.a.</var>
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                proportionalis erit ipſi
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                reſpectu virtutis, aut vis imaginatæ in
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                inclinationis
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                perpendicularis ipſi
                  <var>.b.a.</var>
                quæ quidem virtus, aut vis in
                  <var>.b.</var>
                proportionalis erit ipſi
                  <var>.b.
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                ex tertio capite huius tractatus; </s>
                <s xml:id="echoid-s1759" xml:space="preserve">Si ergo fuiſſet poſita in
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                virtus quædarn ad an-
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                gulum rectum, trahens lineam
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                tam proportionatam virtuti perpendiculari ip-
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                ſius
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                ſtatera
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                portio maior in
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                æqualis ipſi
                  <var>.o.b.</var>
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                niet, communi quadam ſcientia, ponen-
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                do virtutem
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                in
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                <s xml:id="echoid-s1760" xml:space="preserve">Quantitas ergo virtu
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                tis in
                  <var>.x.</var>
                quæ ſuperare debet reſiſtentiam
                  <lb/>
                in
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                quæ ipſi
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                contraponitur, debet ha-
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                bere aliquantulum maioris proportionis
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                ad reſiſtentiam, quæ in
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                angulum re-
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                ctum efficeret cum
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