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]
[163. Figure]
[164. Figure]
[165. Figure]
[166. Figure]
[167. Figure]
[168. Figure]
[169. Figure]
[170. Figure]
[171. Figure]
[172. Figure]
[173. Figure]
[174. Figure]
[175. Figure]
[176. Figure]
[177. Figure]
[178. Figure]
[179. Figure]
[180. Figure: SVPERFICIALIS.]
[181. Figure: CORPOREA.]
[182. Figure: SVPERFICIALIS.]
[183. Figure: SVPERFICIALIS.]
[184. Figure: CORPOREA.]
[185. Figure: SVPERFICIALIS.]
[186. Figure: CORPOREA.]
[187. Figure: SVPERFICIALIS.]
[188. Figure: CORPOREA.]
[189. Figure: SVPERFICIALIS.]
[190. Figure]
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IO. BAPT. BENED.
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          <div xml:id="echoid-div308" type="chapter" level="2" n="2">
            <div xml:id="echoid-div310" type="section" level="3" n="2">
              <p>
                <s xml:id="echoid-s1510" xml:space="preserve">
                  <pb o="122" rhead="IO. BAPT. BENED." n="134" file="0134" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0134"/>
                perficiali, ita diſtans à
                  <var>.p.</var>
                vt in corporea reperitur. </s>
                <s xml:id="echoid-s1511" xml:space="preserve">Po-
                  <lb/>
                  <anchor type="figure" xlink:label="fig-0134-01a" xlink:href="fig-0134-01"/>
                ſteà.
                  <var>x.i.</var>
                erigetur æqualis lineæ
                  <var>.p.o.</var>
                & ſuis terminis
                  <lb/>
                concludetur triangulum
                  <var>.i.q.d.</var>
                & id quod remanet.
                  <lb/>
                </s>
                <s xml:id="echoid-s1512" xml:space="preserve">Vnde ſi longius diſerendo progrediare, patebit ex
                  <num value="4">.
                    <lb/>
                  4.</num>
                primi
                  <var>.i.d.</var>
                ſuperficialem, futuram æqualem
                  <var>.i.d.</var>
                  <lb/>
                corporeæ. </s>
                <s xml:id="echoid-s1513" xml:space="preserve">Idem dico de
                  <var>.i.q.</var>
                & de reliquis.</s>
              </p>
              <div xml:id="echoid-div310" type="float" level="4" n="1">
                <figure xlink:label="fig-0134-01" xlink:href="fig-0134-01a">
                  <image file="0134-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0134-01"/>
                  <caption xml:id="echoid-caption4" xml:space="preserve">CORPOREA.</caption>
                </figure>
              </div>
              <figure position="here">
                <image file="0134-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0134-02"/>
                <caption xml:id="echoid-caption5" xml:space="preserve">SVPERFICIALIS.</caption>
              </figure>
            </div>
            <div xml:id="echoid-div312" type="section" level="3" n="3">
              <head xml:id="echoid-head179" xml:space="preserve">CAP. III.</head>
              <p>
                <s xml:id="echoid-s1514" xml:space="preserve">
                  <emph style="sc">MOdvs</emph>
                hic, proprius eſt, & vniuerſalis, licet in figura ſuperficiali
                  <var>.A.</var>
                ſupe-
                  <lb/>
                rius poſita, ſecundum communem antiquorum conſuetudinem exemplum
                  <lb/>
                dederim, effectus enim idem eſt. </s>
                <s xml:id="echoid-s1515" xml:space="preserve">Sed ſi quis vellet conſiderare dictam figuram ſu-
                  <lb/>
                perficialem
                  <var>.A.</var>
                ſecundum eum modum, quem de figura
                  <var>.B.</var>
                ſuperficiali pręſcripſi, id
                  <lb/>
                poterit in ſubſcripta figura
                  <var>.C.</var>
                ſpeculari in hunc modum. </s>
                <s xml:id="echoid-s1516" xml:space="preserve">Accipiet enim
                  <var>.p.x.</var>
                ſuper
                  <lb/>
                ficialem, æqualem corporeæ, & quia in ipſa corporea
                  <var>.A.</var>
                ſuppoſita fuit linea
                  <var>.p.l.</var>
                  <lb/>
                ideſt punctum
                  <var>.x.</var>
                inter duas
                  <var>.u.s.</var>
                et
                  <var>.a.n.</var>
                ſecabimus
                  <var>.p.x.</var>
                ſuperficialem in puncto
                  <var>.d.</var>
                ita,
                  <lb/>
                vt
                  <var>.d.x.</var>
                ſuperficialis, æqualis ſit corporeæ, & ipſi ſuperficiali
                  <var>.p.x.</var>
                addetur
                  <var>.x.q.</var>
                æqualis
                  <lb/>
                corporeæ. </s>
                <s xml:id="echoid-s1517" xml:space="preserve">vnde
                  <var>.q.d.</var>
                ſuperfi-
                  <lb/>
                cialis æqualis erit corporeę,
                  <lb/>
                  <anchor type="figure" xlink:label="fig-0134-03a" xlink:href="fig-0134-03"/>
                et
                  <var>.p.x.</var>
                ſuperficiali addetur
                  <var>.
                    <lb/>
                  x.l.</var>
                æqualis corporeæ. </s>
                <s xml:id="echoid-s1518" xml:space="preserve">De
                  <lb/>
                ijs poſtea quæ dicenda ſuper-
                  <lb/>
                ſunt, iam ſatis ſuperq́ue di-
                  <lb/>
                ximus.</s>
              </p>
              <div xml:id="echoid-div312" type="float" level="4" n="1">
                <figure xlink:label="fig-0134-03" xlink:href="fig-0134-03a">
                  <image file="0134-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0134-03"/>
                  <caption xml:id="echoid-caption6" xml:space="preserve">SVPERFICIALIS.</caption>
                </figure>
              </div>
              <p>
                <s xml:id="echoid-s1519" xml:space="preserve">Quamobrem, punctum
                  <var>.
                    <lb/>
                  x.</var>
                aut intra, aut extra lineam
                  <var>.
                    <lb/>
                  q.d.</var>
                veniat, hunc modum ſe-
                  <lb/>
                quentes, in errorem non in-
                  <lb/>
                cidemus, imò efficietur qua -
                  <lb/>
                drilaterum
                  <var>.q.r.</var>
                ſuperficiale,
                  <lb/>
                ſimile, & æquale corporeo.</s>
              </p>
            </div>
            <div xml:id="echoid-div314" type="section" level="3" n="4">
              <head xml:id="echoid-head180" xml:space="preserve">CAP. IIII.</head>
              <p>
                <s xml:id="echoid-s1520" xml:space="preserve">
                  <emph style="sc">PVnctvm</emph>
                verò
                  <var>.i.</var>
                (quod verum eſt punctum perſpectiuæ, vt practici dicere ſo
                  <lb/>
                lent) quid ſit, hac via & ratione ſub noſtram cognitionem cadit: </s>
                <s xml:id="echoid-s1521" xml:space="preserve">quòd nihil </s>
              </p>
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