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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[4.28.] Occultam fuiße grauisſimo Stagirit & canſam ſcintilla-tionis ſtellarum. CAP. XXVIII.
[4.29.] Daricontinuum infinitum motum ſuper rectam at que finitam lineam. CAP. XXIX.
[4.30.] Non eſſe ſolis calorem à motu localι ipſius corporis ſolaris, ut Ariſtoteli placuit. CAP. XXX.
[4.31.] Vnde caloris ſolis prode at incrementum & state, et byeme decrementum. CAP. XXXI.
[4.32.] Nullum corpus ſenſus expers à ſono offendi, præterquam Aristoteles crediderit. CAP. XXXII.
[4.33.] Pytagoreorum opinionem de ſonitu corporum cælestium non fuiſſe ab Aristotele ſublatam. CAP. XXXIII.
[4.34.] Deraro et denſo nonnulla, minus diligenter à Peripateticis perpenſa. CAP. XXXIIII.
[4.35.] Motum rectum curuo poſſe comparari etiam diſentiente Ariſtotele. CAP. XXXV.
[4.36.] Minus ſufficienter exploſam fuiſſe ab Ariſtotele opinionem cre-dentium plures mundos exiſtere. CAP. XXXVI.
[4.37.] Anrectè loquutus ſit Phyloſopbus de extenſione luminis per uacuum. CAP. XXXVII.
[4.38.] An rectè phyloſophiœ penus Ariſtoteles ſenſerit de loco im-pellendo à pyramide. CAP. XXXVIII.
[4.39.] Examinatur quam ualida ſit ratio Aristotelis de inalterabilitate Cœli. CAP. XXXIX.
[5.] IN QVINTVM EVCLIDIS LIBRVM
[Item 5.1.]
[5.1.1.] Horum autem primum est.
[5.1.2.] SECVNDVM.
[5.1.3.] TERTIVM. Quę est εuclidis ſeptima propoſitio.
[5.1.4.] QVARTVM. εuclidis uerò nona propoſitio.
[5.1.5.] QVINTVM. Euclidis uerò octaua propoſitio.
[5.1.6.] SEXTVM. εuclidis uerò decima propoſitio.
[5.1.7.] SEPTIMVM. Euclidis uerò undecima propoſitio.
[5.1.8.] OCTAVVM. εuclidis uerò duodecima propoſitio.
[5.1.9.] NONVM. Euclidis uero tertiadecima propoſitio.
[5.1.10.] DECIMVM.
[5.1.11.] VNDECIMVM.
[5.1.12.] DVODECIMVM.
[Item 5.2.]
[5.2.1.] THEOR.I. II. ET III.
[5.2.2.] THEOREM. IIII.
[5.2.3.] THEOR.V. ET VI.
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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,
                  <lb/>
                deinde dictos duos angulos circa dictam
                  <reg norm="lineam" type="context">lineã</reg>
                , abſque vlla difficultate erigitur cor-
                  <lb/>
                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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