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 figures

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[161. Figure: Compositorum]
[162. Figure: Simpricium]
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[180. Figure: SVPERFICIALIS.]
[181. Figure: CORPOREA.]
[182. Figure: SVPERFICIALIS.]
[183. Figure: SVPERFICIALIS.]
[184. Figure: CORPOREA.]
[185. Figure: SVPERFICIALIS.]
[186. Figure: CORPOREA.]
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              <pb o="119" n="131" file="0131" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0131"/>
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          <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>
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                <image file="0131-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0131-01"/>
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