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
131 119
132 120
133 121
134 122
135 123
136 124
137 125
138 126
139 127
140 128
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
< >
page |< < (119) 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-div7" type="chapter" level="2" n="1">
            <div xml:id="echoid-div293" type="appendix" level="3" n="1">
              <pb o="119" n="131" file="0131" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0131"/>
            </div>
          </div>
          <div xml:id="echoid-div308" type="chapter" level="2" n="2">
            <head xml:id="echoid-head176" xml:space="preserve">DE RATIONIBVS
              <lb/>
            OPERATIONVM
              <lb/>
            PERSPECTIVAE.</head>
            <div xml:id="echoid-div308" type="section" level="3" n="1">
              <head xml:id="echoid-head177" xml:space="preserve">CAP.I.</head>
              <p>
                <s xml:id="echoid-s1490" xml:space="preserve">CVM nullus adhuc (quod ſciam) veras
                  <reg norm="internasque" type="simple">internasq́</reg>
                cauſas
                  <lb/>
                operationis perſpectiuæ perſectè docuerit, operæpre-
                  <lb/>
                cium exiſtimaui
                  <reg norm="aliquam" type="context">aliquã</reg>
                de ijs diſputationem ſuſcipere.</s>
              </p>
              <p>
                <s xml:id="echoid-s1491" xml:space="preserve">Multi enim
                  <reg norm="eorum" type="context">eorũ</reg>
                , qui huiuſmodi operationis regulas
                  <lb/>
                præſcribunt, cum eius effectuum veras cauſas igno-
                  <lb/>
                rent, varios
                  <reg norm="diuerſosque" type="simple">diuerſosq́;</reg>
                errores committunt, vt exempli
                  <lb/>
                gratia in ſubſcripta figura ſuperficiali
                  <var>.A.</var>
                volentes degra
                  <lb/>
                dare (vt dicunt) rectangulum
                  <var>.q.a.</var>
                in triangulo
                  <var>.i.d.q.</var>
                du-
                  <lb/>
                cunt
                  <reg norm="parallelam" type="context">parallelã</reg>
                ipſi
                  <var>.q.d.</var>
                à puncto
                  <var>.B.</var>
                interſecationis lineæ-
                  <lb/>
                o.l. cum latere
                  <var>.i.d.</var>
                trianguli, & (idem) indifferenter, ean-
                  <lb/>
                dem quoque à puncto
                  <var>.Z.</var>
                interſecationis ipſius
                  <var>.o.l.</var>
                cum perpendiculari
                  <var>.x.i.</var>
                ducunt.
                  <lb/>
                </s>
                <s xml:id="echoid-s1492" xml:space="preserve">neſcientes hunc ſolum eſſe verum modum, n onitem alium, quia ſi alius, talis eſſet,
                  <lb/>
                hic, verus non exiſteret, nam ſi vellent ſeſe excuſ are, quòd ducendo dictam paralle-
                  <lb/>
                lam à puncto
                  <var>.B.</var>
                hoc fiat præſupponendo planum ipſius
                  <var>.i.d.q.</var>
                verſus rectangulum
                  <var>.
                    <lb/>
                  q.a.</var>
                orizontale inclinatum, ſecundum angulum
                  <var>.i.d.q.</var>
                hæc excuſatio accipien-
                  <lb/>
                da non eſſet, quia horum conſenſu, præſupponendo planum
                  <var>.i.d.q.</var>
                inclinatum,
                  <lb/>
                anguli inferiores rectanguli degradati, non tam acuti, quam ſunt duo
                  <var>.i.d.q.</var>
                et
                  <var>.i.q.
                    <lb/>
                  d.</var>
                eſſe deberent, quod facilè eorum ratione innoteſcet, quæ de figura corporea
                  <var>.
                    <lb/>
                  A.</var>
                hîc ſubſcripta mox proponam, præter id, quòd volentes deinde aſpicere qua-
                  <lb/>
                dratum degradatum, oporteret huiuſmodi planum reſpectu oculi ita collocare,
                  <lb/>
                quemadmodum ſe habet linea
                  <var>.i.d.</var>
                reſpectu
                  <var>.o.</var>
                quod factu nimis arduum eſſet.</s>
              </p>
              <p>
                <s xml:id="echoid-s1493" xml:space="preserve">Vera igitur ratio erit ducere parallelam
                  <var>.e.r.</var>
                ad
                  <var>.q.d.</var>
                à puncto
                  <var>.Z.</var>
                communi ip-
                  <lb/>
                ſis
                  <var>.o.l.</var>
                et
                  <var>.x.i.</var>
                perpendiculari ipſi
                  <var>.l.p</var>
                .</s>
              </p>
              <figure position="here">
                <image file="0131-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0131-01"/>
              </figure>
            </div>
          </div>
        </div>
      </text>
    </echo>