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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          <div xml:id="echoid-div4" type="dedication" level="2" n="1">
            <pb n="9" file="0009" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0009"/>
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          <div xml:id="echoid-div5" type="preface" level="2" n="1">
            <head xml:id="echoid-head14" xml:space="preserve">AD LECTOREM</head>
            <p>
              <s xml:id="echoid-s14" xml:space="preserve">
                <emph style="sc">CVm</emph>
              Varijs temporibus permulta in diuerſis
                <lb/>
              diſciplinis contemplatus ſim, partim à præ-
                <lb/>
              ſtantibus viris patronis ac amicis meis exci-
                <lb/>
              tatus, quiſuper eis ſententiam meam exquire-
                <lb/>
              bant, partim, abingenito mihi deſiderio, ra-
                <lb/>
              tionem, & cauſam eorum percipiendi, com-
                <lb/>
              mittendum non putaui, quin qualiacunque
                <lb/>
              meaſcripta in illis ſcientijs, ſtudioſis impartirer,
                <lb/>
              non dubitans quin illis aliquid commodi atque vtilitatis allatura ſint, prę
                <lb/>
              ſertim cum in eiuſmodi quæſtionibus inueſtigandis atque perpendendis,
                <lb/>
              nemo ( quod ſciam ) hactenus elaborauerit. </s>
              <s xml:id="echoid-s15" xml:space="preserve">Nihil enim his libris à me
                <lb/>
              traditum eſt, quod aut legiſſe, aut ab alijs audiuiſſe meminerim, nam ſi
                <lb/>
              aliena attigi, ea, aut cum aliqua differentia demonſtrationis, aut diluci-
                <lb/>
              dius ſcripſi, quod ſi forte alius eadem tradidit, aut eius lucubrationes ad
                <lb/>
              me non peruenerunt, aut earum perlectionis memoria excidit. </s>
              <s xml:id="echoid-s16" xml:space="preserve">Vtenim
                <lb/>
              etiam Ariſtoteles ipſe ſenſit facilè fieri poteſt, vt pluribus, eædem opinio-
                <lb/>
              nes in mentem veniant. </s>
              <s xml:id="echoid-s17" xml:space="preserve">Immo multa ſcribenti euenire poteſt, vt cum
                <lb/>
              iamdiu aliquid ſcripſerit, iam oblitus, idem repetat, quod mihi etiam
                <lb/>
              nonnunquam accidit. </s>
              <s xml:id="echoid-s18" xml:space="preserve">In his autemlibris non ſuſcepi munus integræ ali
                <lb/>
              cuius ſcientiæ tradendæ, ne, quæ abalijs iam tradita ſunt, ipſe inutiliter re
                <lb/>
              peterem, mihiq́ue viderer exalienis laboribus laudem voluiſſe comparare.
                <lb/>
              </s>
              <s xml:id="echoid-s19" xml:space="preserve">Singularum enim ſcientiarum volumina, iam ab alijs collecta, at-
                <lb/>
              que in ordinemſunt digeſta, & ſi pauciſſimi ſint libri quorum omnes
                <lb/>
              ſententiæ, omniaq́ue inuenta vnius ſint authoris, excipio Archime-
                <lb/>
              dis volumina. </s>
              <s xml:id="echoid-s20" xml:space="preserve">Cumque multi ſint, qui vel vnam rem à ſe inuentam
                <lb/>
              in publicum proferre non dubitent, multo magis mihi qui multa ex-
                <lb/>
              cogitaui, & ſi inter ſe hætereogenea, atque vtcunque expreſſa, idem
                <lb/>
              licere ſum arbitratus. </s>
              <s xml:id="echoid-s21" xml:space="preserve">In his autem meditandis, ex Arithmeticis autho-
                <lb/>
              ribus quos inſpexi, præcipuus fuit Nicolaus Tartalea, quippe quem fe-
                <lb/>
              rè omnia ab alijs ſcripta collegiſſe conſtat, nec alios ex præcipuis, quos le-
                <lb/>
              gere potui omittendos duxi, inter quos ſunt Hieronymus Cardanus, Mi-
                <lb/>
              chael Stifelius, Gemma Friſius, Ioannes Nouiomagus, Cuthebertus
                <lb/>
              Tonſtallus,
                <reg norm="cæterique" type="simple">cæteriq́;</reg>
              huiuſinodi. </s>
              <s xml:id="echoid-s22" xml:space="preserve">Quorundam tamen volumina illorum
                <lb/>
              qui à Tartalea citantur, vt Leonardi Piſani, Proſdocimi, Ioannis Infor-
                <lb/>
              tunati, Fratris Lucæ, Petri Borgi, aliorumq́ue aliquot inſpiciendorum, </s>
            </p>
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