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 |< < (133) of 445 > >|
DE PERSPECT.
    <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-div308" type="chapter" level="2" n="2">
            <div xml:id="echoid-div327" type="section" level="3" n="11">
              <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"/>
            </div>
            <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/>
                  <anchor type="figure" xlink:label="fig-0145-01a" xlink:href="fig-0145-01"/>
                </s>
              </p>
            </div>
          </div>
        </div>
      </text>
    </echo>