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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DISPVTATIONES.
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            <div xml:id="echoid-div420" type="section" level="3" n="22">
              <p>
                <s xml:id="echoid-s2184" xml:space="preserve">
                  <pb o="183" rhead="DISPVTATIONES." n="195" file="0195" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0195"/>
                to minutiora ſunt corpuſcula à quibus vt à ſpeculis reflectitur lumen, tantò magis ag
                  <lb/>
                  <reg norm="gregatum" type="context">gregatũ</reg>
                illud
                  <reg norm="album" type="context">albũ</reg>
                apparet. </s>
                <s xml:id="echoid-s2185" xml:space="preserve">Hæc
                  <reg norm="autem" type="context">autẽ</reg>
                exempla
                  <reg norm="cum" type="context">cũ</reg>
                ſint, nec non largo modo ſumpta,
                  <lb/>
                  <reg norm="mirum" type="context">mirũ</reg>
                non erit ſi claudicare
                  <reg norm="videbuntur" type="context simple">videbũt̃</reg>
                . </s>
                <s xml:id="echoid-s2186" xml:space="preserve">Sed ut ad
                  <reg norm="motum" type="context">motũ</reg>
                , &
                  <reg norm="tempus" type="context">tẽpus</reg>
                reuertamur ( quæ ſunt
                  <lb/>
                  <reg norm="continua" type="context">cõtinua</reg>
                ſucceſſiua) Ariſtoteles in definiendo tempore, non reduxit in mentem, quod
                  <lb/>
                ſcribit decimo metaphyſicę et .4. cap. ſecundo. libr. de cęlo, omnia videlicet, ab eo,
                  <lb/>
                quod minimum eſt in ſuo genere, menſurari, & ex ſeipſo in phyſicorum libris, tem-
                  <lb/>
                pus non eſt de genere motus; </s>
                <s xml:id="echoid-s2187" xml:space="preserve">ergo eius ipſius rationum ui, tempus non erit menſura
                  <lb/>
                motus, ſed motus quidem poteſt menſurare motum, videlicet velocior minus velo-
                  <lb/>
                cem, & breuior longiorem; </s>
                <s xml:id="echoid-s2188" xml:space="preserve">&
                  <reg norm="numerus" type="simple">numerꝰ</reg>
                  <reg norm="menſuratur" type="simple">menſurat̃</reg>
                numero, & tempus tempore in quan
                  <lb/>
                tum longum eſt, aut breue, non in quantum velox, aut tardum; </s>
                <s xml:id="echoid-s2189" xml:space="preserve">Nullum autem in-
                  <lb/>
                conueniens ſequetur ſumendo tempus tam ptoportionale motui, quam locus cor-
                  <lb/>
                pori, quia motus decem milliarium, quæ aliquis vnius horæ ſpatio conficiat, erit pro
                  <lb/>
                portionalis corpori denſo, & motus vnius milliaris eadem hora peracti, proportiona
                  <lb/>
                lis erit corpori raro; </s>
                <s xml:id="echoid-s2190" xml:space="preserve">& quemadmodum corpus denſum occupat minus interuallum
                  <lb/>
                loci, contra quam fiat in corpore raro: </s>
                <s xml:id="echoid-s2191" xml:space="preserve">ſic etiam motus velox breuiori temporis ſpa-
                  <lb/>
                tio peragetur, quam tardus.</s>
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            <div xml:id="echoid-div421" type="section" level="3" n="23">
              <head xml:id="echoid-head287" style="it" xml:space="preserve">Motum rectum eſſe continuum, uel dißentiente
                <lb/>
              Ariſtotele.</head>
              <head xml:id="echoid-head288" xml:space="preserve">CAP. XXIII.</head>
              <p>
                <s xml:id="echoid-s2192" xml:space="preserve">ARiſtoteles .8. capi .8. phyſicorum ait impoſſibile eſſe aliquid per
                  <reg norm="lineam" type="context">lineã</reg>
                rectam
                  <lb/>
                nunc vno modo, nunc altero, ideſt eundo, & redeundo per dictam lineam in
                  <lb/>
                extremis abſque quiete moueri. </s>
                <s xml:id="echoid-s2193" xml:space="preserve">Id quod contrà poſſibile eſſe dico. </s>
                <s xml:id="echoid-s2194" xml:space="preserve">Pro ſpecula-
                  <lb/>
                tione cuius rei imaginemur circulum
                  <var>.u.a.n.</var>
                motu continuo circa centrum
                  <var>.o.</var>
                in
                  <reg norm="quam" type="context">quã</reg>
                  <lb/>
                libet partem, aut
                  <reg norm="dextram" type="context">dextrã</reg>
                , aut
                  <reg norm="ſiniſtram" type="context">ſiniſtrã</reg>
                ferri; </s>
                <s xml:id="echoid-s2195" xml:space="preserve">& imaginemur
                  <reg norm="punctum" type="context">pũctum</reg>
                  <var>.b.</var>
                extra ipſum, ubi
                  <lb/>
                magis nobis videbitur, à quo ducantur duæ lineæ recte
                  <var>.b.u.</var>
                et
                  <var>.b.n.</var>
                contiguæ ipſi cir-
                  <lb/>
                culo in punctis
                  <var>.u.</var>
                et
                  <var>.n</var>
                . </s>
                <s xml:id="echoid-s2196" xml:space="preserve">Imaginatione quoque inter has duas lineas, alteram quæ ſit
                  <var>.
                    <lb/>
                  u.n.</var>
                aut
                  <var>.c.d.</var>
                aut
                  <var>.e.f.</var>
                aut
                  <var>.g.h.</var>
                conſtituamus in quali
                  <lb/>
                  <anchor type="figure" xlink:label="fig-0195-01a" xlink:href="fig-0195-01"/>
                bet parte, ſumemus etiam punctum
                  <var>.a.</var>
                circun-
                  <lb/>
                ferentiæ dicti circuli, à quo vſque ad
                  <var>.b.</var>
                lineam
                  <var>.
                    <lb/>
                  b.a.</var>
                imaginemur
                  <reg norm="fixam" type="context">fixã</reg>
                in
                  <var>.b.</var>
                ſed quod remanat mo
                  <lb/>
                bile, ſecundum quod mouebitur punctum
                  <var>.a.</var>
                vn-
                  <lb/>
                de
                  <reg norm="aliquando" type="context">aliquãdo</reg>
                hæc linea erit eadem cum
                  <var>.b.u.</var>
                & ali
                  <lb/>
                quando cum
                  <var>.b.n.</var>
                & aliquando ab
                  <var>.b.u.</var>
                verſus
                  <var>.b.
                    <lb/>
                  n.</var>
                proficiſcetur, & aliquando ab
                  <var>.b.n.</var>
                verſus
                  <var>.b.u.</var>
                  <lb/>
                vt accidit lineæ directionis, & retrogradationis
                  <lb/>
                planetarum, vnde circulus
                  <var>.u.a.n.</var>
                erit vt epiciclus
                  <lb/>
                et
                  <var>.b.</var>
                vt terræ centrum. </s>
                <s xml:id="echoid-s2197" xml:space="preserve">Clarum nunc erit, quòd
                  <lb/>
                quando linea
                  <var>.b.a.</var>
                eadem erit cum
                  <var>.b.u.</var>
                aut cum
                  <lb/>
                  <var>b.n.</var>
                non quieſcet, quia in inſtanti reuertetur, quia
                  <lb/>
                  <var>b.u.</var>
                et
                  <var>.b.n.</var>
                in puncto,
                  <reg norm="dictum" type="context">dictũ</reg>
                circulum tangunt, &
                  <lb/>
                dicta
                  <var>.b.a.</var>
                interſecabit ſemper aliquam ex dictis
                  <lb/>
                  <var>u.n.</var>
                aut
                  <var>.c.d.</var>
                aut
                  <var>.e.f.</var>
                aut
                  <var>.g.h.</var>
                quod interſectionis
                  <lb/>
                punctum ſit
                  <var>.t</var>
                . </s>
                <s xml:id="echoid-s2198" xml:space="preserve">Imaginemur nunc quod
                  <reg norm="ſecundum" type="context context">ſecũdũ</reg>
                  <lb/>
                punctum
                  <var>.t.</var>
                aliquid per aliquam ex dictis lineis </s>
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