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]

Page concordance

< >
Scan Original
141 129
142 130
143 131
144 132
145 133
146 134
147 135
148 136
149 137
150 138
151 139
152 140
153 141
154 142
155 143
156 144
157 145
158 146
159 147
160 148
161 149
162 150
163 151
164 152
165 153
166 154
167 155
168 156
169 157
170 158
< >
page |< < (183) of 445 > >|
    <echo version="1.0">
      <text type="book" xml:lang="la">
        <div xml:id="echoid-div7" type="body" level="1" n="1">
          <div xml:id="echoid-div387" type="chapter" level="2" n="4">
            <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>
              </p>
            </div>
            <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/>
                  <figure xlink:label="fig-0195-01" xlink:href="fig-0195-01a" number="258">
                    <image file="0195-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0195-01"/>
                  </figure>
                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>
              </p>
            </div>
          </div>
        </div>
      </text>
    </echo>