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">
            <head xml:id="echoid-head13" xml:space="preserve">SERENISSIMO
              <lb/>
            CAROLO EMANVELI
              <lb/>
            Sabaudiæ Duci,
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            <p style="it">
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                <emph style="sc it">AGitvr</emph>
              nonusdecimus annus ex quo litte-
                <lb/>
              ris Serenißimi patris tuæ Celſitudinis, ac-
                <lb/>
              cerſitus ex vrbe Parmenſi in banc me ciui-
                <lb/>
              tatem contuli. </s>
              <s xml:id="echoid-s2" xml:space="preserve">Is aduenientem tam bumanè
                <lb/>
              excepit, tanta deinde liberalitate fuit com-
                <lb/>
              plexus ego vicißim ei deſeruiendi, tam vebe-
                <lb/>
              menti cupiditate fui accenſus, vt ſub eius ditione quodſuper-
                <lb/>
              eßet vitæ agere conſtituerem. </s>
              <s xml:id="echoid-s3" xml:space="preserve">Cuius in me benignitas, mea
                <lb/>
              in illum obſeruantia mirum in modum mutuo vſu, & conſue-
                <lb/>
              tudine eſt adaucta, vt idem Dux me ſecum dum ruſticaretur
                <lb/>
              eße vellet, ſæpè etiam ſecum pernoctare; </s>
              <s xml:id="echoid-s4" xml:space="preserve">quo quidem tempo-
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              re de Matbematicis ſcientijs mecum agebat, in quibus perdi-
                <lb/>
              ſcendis mea opera vtebatur, quæſtiones, Arithmeticam, Geo­
                <lb/>
              metriam, Opticen, Muſicam, aut Astrologiam ſpectantes
                <lb/>
              proponens. </s>
              <s xml:id="echoid-s5" xml:space="preserve">Cui vt quod in me eßet ſatisfacerem, acrius
                <lb/>
              quàm anteainea studia (adquætamen ſemper fui propenſißi-
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              mus) incubui. </s>
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                <reg norm="Illiusque" type="simple">Illiusq́ꝫ</reg>
              imitatione (vt ferècæteri Principum
                <lb/>
              studiaimitantur) non pauci aut præſentes, aut per litter as me
                <lb/>
              de his, atque illis Mathematicis quæstionibus conſuluerunt.
                <lb/>
              </s>
              <s xml:id="echoid-s7" xml:space="preserve">Cùmque ego nunquam laborem amicorum cauſa defugerim,
                <lb/>
              euenit vt post tot annorum curricula, mea ſcrinia ſcrutatus,
                <lb/>
              inuenerim tot abſolutas quæſtiones, vt ex eis corpus mediocre
                <lb/>
              effici poſſe videretur. </s>
              <s xml:id="echoid-s8" xml:space="preserve">Quas, cùm rationibus in epiſtola ſub-
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              ſequenti allatis edere constituiſſem, non ſub cuiuſque alte-
                <lb/>
              rius nomine, & auſpicijs quam tuæ Celſitudinis volui apparere;
                <lb/>
              </s>
              <s xml:id="echoid-s9" xml:space="preserve">tum quòd patri debitum libellum filio reddere par erat, tum </s>
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