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
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
161 149
162 150
163 151
164 152
165 153
166 154
167 155
168 156
169 157
170 158
< >
page |< < (371) of 445 > >|
EPISTOL AE.
    <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-div477" type="chapter" level="2" n="6">
            <div xml:id="echoid-div720" type="section" level="3" n="38">
              <div xml:id="echoid-div720" type="letter" level="4" n="1">
                <pb o="371" rhead="EPISTOL AE." n="383" file="0383" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0383"/>
              </div>
            </div>
            <div xml:id="echoid-div724" type="section" level="3" n="39">
              <div xml:id="echoid-div724" type="letter" level="4" n="1">
                <head xml:id="echoid-head550" xml:space="preserve">ALIA DEMONSTRATIO NONÆ, ET DECIMÆ
                  <lb/>
                ſecundi Euclidis.</head>
                <head xml:id="echoid-head551" style="it" xml:space="preserve">Petro Catenæ.</head>
                <p>
                  <s xml:id="echoid-s4404" xml:space="preserve">
                    <emph style="sc">QVamvis</emph>
                  nona ac decima ſecundi Euclid. aliter à Comandino & Mau-
                    <lb/>
                  rolico demonſtratæ fuerint, nihilominus mihi etiam viſum eſt non nihil
                    <lb/>
                  meo moræ in eas tibi ſcribere, vt ſenſibiliter quoque cognoſcas il-
                    <lb/>
                  las veras eſſe.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4405" xml:space="preserve">Eſto linc
                    <unsure/>
                  a.a.b. pro nona propoſitione, diuiſa per æqualia in
                    <var>.c.</var>
                  per inæqualia verò
                    <lb/>
                  in
                    <var>.d.</var>
                  quadratum autem
                    <var>.a.d.</var>
                  ſit
                    <var>.d.e.</var>
                  quadratum verò
                    <var>.d.b.</var>
                  ſit
                    <var>.d.i.</var>
                  quadratum
                    <var>.a.c.</var>
                    <lb/>
                  ſit
                    <var>.c.f.</var>
                  & quadratum
                    <var>.c.d.</var>
                  ſit
                    <var>.c.K.</var>
                  clarum enim erit
                    <var>.K.h.</var>
                  æqualem exiſtere ipſi
                    <var>.a.c.</var>
                    <lb/>
                  ſeccetur igitur
                    <var>.e.h.</var>
                  in
                    <var>.g.</var>
                  ita vt
                    <var>.h.g.</var>
                  ęqualis exiſtat ipſi
                    <var>.K.h.</var>
                  vnde
                    <var>.g.e.</var>
                  æqualls erit
                    <lb/>
                    <var>c.d.</var>
                  perficiatur etiam quadratum
                    <var>.h.n.</var>
                  vnde in totali quadrato
                    <var>.a.h.</var>
                  habe bis
                    <reg norm="duplum" type="context">duplũ</reg>
                    <lb/>
                  quadrati partis
                    <var>.c.d.</var>
                  nempe
                    <var>.c.K.</var>
                  et
                    <var>.f.g.</var>
                  & quadratum
                    <var>.a.u.</var>
                  cum gnomone
                    <var>.u.g.h.k.</var>
                    <lb/>
                  cui deficit quadratum æquale
                    <var>.d.i.</var>
                  quadrato, vt ſint etiam duo quadrata partis
                    <var>.a.c</var>
                  .</s>
                </p>
                <p>
                  <s xml:id="echoid-s4406" xml:space="preserve">In decima
                    <reg norm="autem" type="wordlist">aũt</reg>
                  propoſitione,
                    <reg norm="quadratum" type="context">quadratũ</reg>
                  totalis lineæ
                    <var>.a.d.</var>
                  ſit
                    <var>.d.e.</var>
                  & lineæ
                    <var>.b.d.</var>
                  ſit
                    <var>.b.i.</var>
                  et
                    <lb/>
                    <var>c.d.</var>
                  ſit
                    <var>.d.n.</var>
                  et
                    <var>.a.c.</var>
                  ſit
                    <var>.c.f.</var>
                  et
                    <var>.f.e.</var>
                  ſit
                    <var>.e.u.</var>
                  vnde
                    <var>.n.u.</var>
                  æquale erit quadrato
                    <var>.b.i.</var>
                  vnde in qua
                    <lb/>
                  drato totali
                    <var>.a.h.</var>
                  videbis duo quadrata æqualia
                    <var>.f.c.</var>
                  et
                    <var>.g.k.</var>
                  partis
                    <var>.a.c.</var>
                  & quadratum
                    <var>.c.
                      <lb/>
                    K.</var>
                  cum gnomone
                    <var>.n.f.e.g.</var>
                  cui addito quadrato
                    <var>.b.i.</var>
                  habebis duplum quadrati partis
                    <var>.
                      <lb/>
                    c.d</var>
                  .</s>
                </p>
                <figure position="here">
                  <image file="0383-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0383-01"/>
                </figure>
              </div>
            </div>
            <div xml:id="echoid-div726" type="section" level="3" n="40">
              <div xml:id="echoid-div726" type="letter" level="4" n="1">
                <head xml:id="echoid-head552" xml:space="preserve">DE STELLA CASSIOPEIÆ.</head>
                <head xml:id="echoid-head553" style="it" xml:space="preserve">Annibali Raymundo Aſtrologo Peritißimo.</head>
                <p>
                  <s xml:id="echoid-s4407" xml:space="preserve">
                    <emph style="sc">POstqvam</emph>
                  tua doctiſſima ſcripta perlegi, conſideraui, quod ſi à mul-
                    <lb/>
                  titudine exhalationum in regione elementari acciderit anno .1572. &
                    <lb/>
                  1573. vt totos ſex menſes ab omnibus per vniuerſum terrarum orbem
                    <lb/>
                  viſa fuerit ſtella illa, quæ eſt in angulo ſeptentrionali quadrilateri Caſſio­ </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>