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.
[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.
[3.13.] Quòd Ariſtotelisratio in 6. quæſtione poſit a non ſit admittenda. CAP. XIII.
[3.14.] Quòdrationes ab Ariſtotele de octaua quæstione confictæ ſufficient es non ſint. CAP. XIIII.
[3.15.] Quod Aristotelis ratio none queſtionis admittendanon ſit. CAP. XV.
[3.16.] Quod Aristotelis rationes de decima queſtione ſint reijciende. CAP. XVI.
[3.17.] De uer a cauſa .12. questionis mechanice. CAP. XVII.
[3.18.] De decimatertia questione. CAP. XVIII.
[3.19.] De decimaquart a queſtione. CAP. XIX.
[3.20.] De uer a r atione .17. queſtionis. CAP. XX.
[3.21.] De uera & intrinſeca cauſa trocble arum. CAP. XXI.
[3.22.] Depropria cauſa .24. quæſtionis. CAP. XXII.
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            <div xml:id="echoid-div383" type="section" level="3" n="22">
              <pb o="167" rhead="DE MECHAN." n="179" file="0179" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0179"/>
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            <div xml:id="echoid-div384" type="section" level="3" n="23">
              <head xml:id="echoid-head238" style="it" xml:space="preserve">De uer a cauſa .30. quæstionis.</head>
              <head xml:id="echoid-head239" xml:space="preserve">CAP.
                <sic comment="should be XXIII">XXIIII.</sic>
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              <p>
                <s xml:id="echoid-s1990" xml:space="preserve">VEra ratio, cur homo dum ſedet ( non tamen Turcarum more ) ſi velit
                  <lb/>
                ſeſe in pedes erigere, calcaneos retrahit, vt efficiat angulum acutum, cum
                  <reg norm="fae- moribus" type="simple">fę-
                    <lb/>
                  moribus</reg>
                coxis à parte inferiori, & ventrem inclinat, ad conſtituendum etiam angu
                  <lb/>
                lum acutum in ſuperiori parte, ea eſt; </s>
                <s xml:id="echoid-s1991" xml:space="preserve">vt totius corporis pondus, ex ęquo, ideſt ab
                  <lb/>
                oppoſitis partibus circundet lineam rectam, quæ tranſit per locum, in quo conquie
                  <lb/>
                ſcunt pedes verſus mundi centrum. </s>
                <s xml:id="echoid-s1992" xml:space="preserve">ideſt, ut edatur ęquilibrium ponderis ipſius cor-
                  <lb/>
                poris circum lineam illam, quę ſub pedibus inſeruit pro ſparto. </s>
                <s xml:id="echoid-s1993" xml:space="preserve">Vnde aperiendo,
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                deinde dictos duos angulos circa dictam
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                , abſque vlla difficultate erigitur cor-
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                pus, & abſque periculo in alterutram partem cadendi.</s>
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            <div xml:id="echoid-div385" type="section" level="3" n="24">
              <head xml:id="echoid-head240" style="it" xml:space="preserve">Deratione .35. & ultimæ quæstionis.</head>
              <head xml:id="echoid-head241" xml:space="preserve">CAP.
                <sic comment="should be XXIIII">XXV.</sic>
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              <p>
                <s xml:id="echoid-s1994" xml:space="preserve">VEra ratio, quare, quę reperiuntur in vorticibus aquarum, ſemper verſus
                  <lb/>
                medium ipſarum vertiginum vniuntur, inde promanat, quod media
                  <lb/>
                vertiginum ſemper depreſſiora ſunt. </s>
                <s xml:id="echoid-s1995" xml:space="preserve">vnde quòd dicta corpora ad medium acce-
                  <lb/>
                dant, nihil aliud eſt, quàm ipſa corpora ſuo pondere grauitateq́ue deſcendere, figu
                  <lb/>
                ra enim vorticibus eſt quaſi conica, & concaua cum angulo deorſum, & gyro baſis
                  <lb/>
                ſurſum. </s>
                <s xml:id="echoid-s1996" xml:space="preserve">Atque hæc vera eſt huius effectus cauſa, & non ea quam Ariſtoteles ponit,
                  <lb/>
                à
                  <unsure/>
                quo aliarum omnium quæſtionum, quas ego omiſi rationes ſunt benè propoſitæ.</s>
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