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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              <pb o="133" rhead="DE PERSPECT." n="145" file="0145" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0145"/>
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            <div xml:id="echoid-div328" type="section" level="3" n="12">
              <head xml:id="echoid-head189" style="it" xml:space="preserve">JACOBO SOLDATO MEDIOLANENSI
                <lb/>
              Serenißimi Ducis Sabaudiæ Architecto peritißimo.</head>
              <head xml:id="echoid-head190" xml:space="preserve">CAP. VII.</head>
              <p>
                <s xml:id="echoid-s1607" xml:space="preserve">
                  <emph style="sc">SVperioribvs</emph>
                diebus non diu poſtquam de perſpectiuis inter nos ſermonem
                  <lb/>
                habuimus, dum animus totus adhuc in his eſſet. </s>
                <s xml:id="echoid-s1608" xml:space="preserve">Illud in mentem venit quòd exi
                  <lb/>
                mius ille vir, & profundiſſimæ doctrinæ, nec vnquam ſatis laudatus Daniel Barba-
                  <lb/>
                rus ſe accepiſſe profitetur à Ioanne Zamberto patritio Veneto, qui ad verbum om
                  <lb/>
                nia deſumpſerat a Ioanne Cuſino Pariſienſe. </s>
                <s xml:id="echoid-s1609" xml:space="preserve">Nec parum mirabar peritiſſimum il-
                  <lb/>
                lum Cuſinum, quod in capite quarto ſecundæ partis perſpectiuæ, vt quodpiam pla-
                  <lb/>
                num quadrilaterum in quadratam figuram redigeret, ſuper vnam datam
                  <reg norm="lineam" type="context">lineã</reg>
                qua-
                  <lb/>
                dratam compoſuiſſe. </s>
                <s xml:id="echoid-s1610" xml:space="preserve">Non animaduertens diſtantiam aut interuallum
                  <var>.b.c.</var>
                degra-
                  <lb/>
                datum ín linea
                  <var>.b.f.</var>
                (quod eſt
                  <var>.b.E.</var>
                ) ita eſſe poſſe latus parallelogrammi rectanguli
                  <lb/>
                magis longi quam lati, aut magis lati quam longi, vt etiam latus quadrati, quod be-
                  <lb/>
                neficio ſubſcriptæ hic figuræ facilè depræhendi poteſt. </s>
                <s xml:id="echoid-s1611" xml:space="preserve">Vbi
                  <var>.b.c.</var>
                latitudo eſſe po-
                  <lb/>
                teſt, tam perfecti degradati in triangulo
                  <var>.b.n.m.</var>
                aut in triangulo
                  <var>.b.q.t.</var>
                quam in trian
                  <lb/>
                gulo
                  <var>.b.a.c</var>
                . </s>
                <s xml:id="echoid-s1612" xml:space="preserve">Sed perfectum degradati in triangulo
                  <var>.b.n.m.</var>
                magis longum quam
                  <reg norm="latum" type="context">latũ</reg>
                  <lb/>
                & perfectum degradatum in triangulo
                  <var>.b.q.t.</var>
                magis latum quam longum, & perfe-
                  <lb/>
                ctum degradati in triangulo
                  <var>.b.a.c.</var>
                quadratum erit quemadmodum à meis etiam fi-
                  <lb/>
                guris
                  <var>.A.</var>
                ſcientificè intelligi poteſt. </s>
                <s xml:id="echoid-s1613" xml:space="preserve">Hinc, ad inueniendum perfectum alicuius pla-
                  <lb/>
                ni degradati, non ſufficere degradationem ſolum interualli inter duos terminos
                  <lb/>
                ſolos, ideſt
                  <var>.b.E.</var>
                aſſignare, apertè patet, quia non omnia parallelogramma. perfecta
                  <lb/>
                ab vno
                  <reg norm="tantum" type="wordlist">tm̃</reg>
                interuallo producuntur, eo
                  <reg norm="quod" type="simple">ꝙ</reg>
                non ſunt omnia quadrata. </s>
                <s xml:id="echoid-s1614" xml:space="preserve">Ad
                  <reg norm="inquirendum" type="context">inquirendũ</reg>
                  <lb/>
                igitur perfectum alicuius plani
                  <reg norm="parallelogrammi" type="context">parallelogrãmi</reg>
                , alicuius propoſiti degradati, oportet
                  <lb/>
                vniuerſam degradationem tam latitudinis,
                  <reg norm="quam" type="simple">ꝗ̃</reg>
                longitudinis, &
                  <reg norm="non" type="context">nõ</reg>
                folius longitudinis
                  <lb/>
                aſſignare; </s>
                <s xml:id="echoid-s1615" xml:space="preserve">Vt
                  <reg norm="exempli" type="context">exẽpli</reg>
                gratia, in ſubſcripta hic figura,
                  <reg norm="volendo" type="context">volẽdo</reg>
                inuenire perfectum paral
                  <lb/>
                lelogrammum degradati
                  <var>.b.h.l.m.</var>
                dando diſtantiam orizontalem
                  <var>.b.d.</var>
                à pede
                  <var>.d.</var>
                ho-
                  <lb/>
                  <figure xlink:label="fig-0145-01" xlink:href="fig-0145-01a" number="200">
                    <image file="0145-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0145-01"/>
                  </figure>
                </s>
              </p>
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