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]

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IO. BAPT. BENED.
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              <head xml:id="echoid-head232" style="it" xml:space="preserve">De uer a r atione .17. queſtionis.</head>
              <head xml:id="echoid-head233" xml:space="preserve">CAP. XX.</head>
              <p>
                <s xml:id="echoid-s1933" xml:space="preserve">DEcimaſeptima quæſtio ab Ariſtotele haud benè percepta fuit, quia is non ac-
                  <lb/>
                commodat partes vectis ſuis locis. </s>
                <s xml:id="echoid-s1934" xml:space="preserve">Quamobrem imaginemur duos vectes
                  <var>.
                    <lb/>
                  a.o.n.</var>
                et
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                quorum centra, quæ hypomochlia appellantur ſint
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                & pondera,
                  <lb/>
                quæ ſunt attollenda ſint
                  <var>.a.</var>
                et
                  <var>.e.</var>
                inter ſe æqualia, & diſtantię ſint
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                et
                  <var>.e.o.</var>
                ſibi
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                æquales, ſed
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                æqualis ſit ipſi
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                : clarum erit,
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                ad eleuandum
                  <var>.a.</var>
                oportebit depri
                  <lb/>
                mere
                  <var>.n.</var>
                & ad eleuandum
                  <var>.e.</var>
                oportebit attollere
                  <var>.u</var>
                . </s>
                <s xml:id="echoid-s1935" xml:space="preserve">Et quia omnia ſupponuntur æ qua
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                lia, clarum quoque erit, commu-
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                ni ſcientia, tantam virtutem in
                  <lb/>
                  <anchor type="figure" xlink:label="fig-0174-01a" xlink:href="fig-0174-01"/>
                n. quanta ſufficiet ad
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                a. in
                  <var>.u.</var>
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                ſuffecturam ad ele-
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                uandum
                  <var>.e.</var>
                quia
                  <reg norm="cum" type="context">cũ</reg>
                æqualibus an
                  <lb/>
                gulis ijs, quibus duæ virtutes
                  <var>.a.</var>
                  <lb/>
                et
                  <var>.n.</var>
                annituntur
                  <var>.o.</var>
                centro, ita
                  <var>.e.</var>
                  <lb/>
                et
                  <var>.u.</var>
                è contrario ſuo centro
                  <var>.o.</var>
                an
                  <lb/>
                nituntur. </s>
                <s xml:id="echoid-s1936" xml:space="preserve">& omnes rationes pro
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                vecte
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                quarto
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                huius tracta-
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                tus capitibus citatæ, vecti
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                vt ſatis ſu
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                dixi in dicto capit .5. conuenire poſ-
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                ſunt.</s>
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              <p>
                <s xml:id="echoid-s1937" xml:space="preserve">Nunc ſit aliqua pars ligni cindenda ſe-
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                cundum venulas ſuas
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                & ſit cuneus
                  <lb/>
                  <var>a.b.c.</var>
                qui vi mallei
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                vſque ad
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                pene-
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                trarit. </s>
                <s xml:id="echoid-s1938" xml:space="preserve">Hinc clarum erit, quòd apertura
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                  <var>i.m.r.</var>
                ligni, poſt quam infigitur cuneus ſe
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                cundum venas, longíor erit parte
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                cu
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                nei, quæ ingreſſa eſt. </s>
                <s xml:id="echoid-s1939" xml:space="preserve">Oportet nunc ima-
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                ginari duos vectes ſimiles ſupradictæ
                  <var>.u.e.
                    <lb/>
                  o.</var>
                in hunc modum, vt puncta
                  <var>i.r.</var>
                lìni ſint
                  <lb/>
                loco
                  <var>.u.</var>
                extremi
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                vectis, et
                  <var>.t.x.</var>
                loco vir
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                tutis applicatæ ipſi
                  <var>.u.</var>
                & reſiſtentia circa
                  <lb/>
                punctum
                  <var>.m.</var>
                loco ponderis
                  <var>.e.</var>
                vectis
                  <var>.o.e.u.</var>
                  <lb/>
                dicti, & pars
                  <var>.K.</var>
                quaſi immediata poſt
                  <var>.m.</var>
                  <lb/>
                verſus extremitatem
                  <var>.f.e.</var>
                ligni, ſit loco hy-
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                pomochlij
                  <var>.o</var>
                . </s>
                <s xml:id="echoid-s1940" xml:space="preserve">Hinc fiet vt quanto longio
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                res erunt lineæ
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                et
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                tantò quo
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                que facilius virtutes
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                impellent
                  <var>.i.r</var>
                .</s>
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