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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page |< < (371) of 445 > >|
EPISTOL AE.
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          <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"/>
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            <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"/>
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            </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>
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