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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IO. BAPT. BENED.
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                <p>
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                    <pb o="318" rhead="IO. BAPT. BENED." n="330" file="0330" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0330"/>
                  dio, vt vna earum ſit
                    <var>.o.c.</var>
                  reliqua verò ſit
                    <var>.o.e.</var>
                  </s>
                  <s xml:id="echoid-s3885" xml:space="preserve">deinde aperiatur circinus quantum
                    <var>.
                      <lb/>
                    o.c.</var>
                    <reg norm="poſitoque" type="simple">poſitoq́;</reg>
                  vno pede in
                    <var>.b.</var>
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                  cum altero duo arcus
                    <var>.n.K.</var>
                  poſito iterum vno
                    <lb/>
                  pede in
                    <var>.a.</var>
                  deſignentur alij duo arcus inter-
                    <lb/>
                  ſecantes primos in punctis
                    <var>.n.K</var>
                  . </s>
                  <s xml:id="echoid-s3886" xml:space="preserve">Deinde à
                    <lb/>
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                  puncto
                    <var>.n.</var>
                  ad
                    <var>.K.</var>
                  ducetur linea
                    <var>.n.K.</var>
                  quæ per
                    <lb/>
                  punctum
                    <var>.o.</var>
                  tranſibit, quam
                    <var>.n.K.</var>
                  mente
                    <reg norm="con- cipio" type="context">cõ-
                      <lb/>
                    cipio</reg>
                  , vt axis minor
                    <reg norm="vnius" type="simple">vniꝰ</reg>
                  ellipſis, cuius
                    <var>.e.c.</var>
                    <lb/>
                  ſit axis maior, quibus axibus mediantibus
                    <lb/>
                  deſignetur ellipſis
                    <var>.n.c.K.e.</var>
                  conſidero dein
                    <lb/>
                  de
                    <var>.a.b.</var>
                  vt
                    <reg norm="chordanvnius" type="context">chordãvnius</reg>
                  circuli, ſeu portio-
                    <lb/>
                  nis circularis, quæ capax ſit vnius anguli
                    <lb/>
                  æqualis angulo
                    <var>.d.</var>
                  propoſito, ex .32. tertij
                    <lb/>
                  Euclid. cuius circunferentia, circunferen-
                    <lb/>
                  tiam ipſius ellipſis ſecabit in
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                  punctis
                    <lb/>
                  quorum
                    <reg norm="vnum" type="context">vnũ</reg>
                  ſit
                    <var>.i.</var>
                  à quo protractæ cum fue
                    <lb/>
                  rint duæ lineæ
                    <var>.a.i.</var>
                  et
                    <var>.i.b.</var>
                  habebis propoſitum, cum
                    <var>.a.i.</var>
                  iuncta cum
                    <var>.i.b.</var>
                  æquetur
                    <var>.e.</var>
                  c,
                    <lb/>
                  ex .52. tertij Pergei.</s>
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            <div xml:id="echoid-div622" type="section" level="3" n="25">
              <div xml:id="echoid-div622" type="letter" level="4" n="1">
                <head xml:id="echoid-head483" xml:space="preserve">EMENDATIO CVIVSDAM FALSI MODI
                  <lb/>
                delineandi horologia Italica orizontalia.</head>
                <head xml:id="echoid-head484" style="it" xml:space="preserve">Foanni Paulo Dardano.</head>
                <p>
                  <s xml:id="echoid-s3887" xml:space="preserve">
                    <emph style="sc">MOdvs</emph>
                  delineandi horologia Italica orizontalia, quem tibi monſtrauit
                    <lb/>
                  neſcio quis, ni fallor, talis eſt. </s>
                  <s xml:id="echoid-s3888" xml:space="preserve">Deſignato meridiano
                    <var>.l.b.m.q.</var>
                    <reg norm="ductisque" type="simple">ductisq́;</reg>
                  duo
                    <lb/>
                  bus diametris
                    <var>.l.m.</var>
                  et
                    <var>.b.</var>
                  q, inuicem ad rectos in centro
                    <var>.g.</var>
                  quorum
                    <var>.l.m.</var>
                  ſit
                    <lb/>
                  verticalis
                    <var>.b.q.</var>
                  vero
                    <reg norm="orizontalis" type="context">orizõtalis</reg>
                  ,
                    <reg norm="ductoque" type="simple">ductoq́;</reg>
                  diametro
                    <var>.f.h.</var>
                  tropici Cancri ſe-
                    <lb/>
                  cundum altitudinem poli datam,
                    <reg norm="deſcriptoque" type="simple">deſcriptoq́;</reg>
                  dimidio circulo
                    <var>.f.z.h.</var>
                  ipſius paralleli,
                    <lb/>
                    <reg norm="inuentoque" type="simple">inuentoq́;</reg>
                  puncto
                    <var>.z.</var>
                  horæ propoſitę, & ab eo ducta per pendiculari
                    <var>.z.r.</var>
                  ad
                    <var>.f.h.</var>
                  & à
                    <lb/>
                  puncto
                    <var>.r.</var>
                  ducta
                    <var>.r.o.y.</var>
                  parallela ad diametrum
                    <var>.q.b.</var>
                  orizontalem, ducis poſtea
                    <var>.f.ω.</var>
                  et
                    <var>.
                      <lb/>
                    r.t.</var>
                  vſque ad orizontalem
                    <var>.q.b.</var>
                  parallelas ad diametrum
                    <var>.l.m.</var>
                  verticalem. </s>
                  <s xml:id="echoid-s3889" xml:space="preserve">Determi-
                    <lb/>
                  nato poſtea gnomone
                    <var>.g.s.</var>
                  in orizontis axe,
                    <reg norm="ductaque" type="simple">ductaq́;</reg>
                  vmbrarum linea
                    <var>.s.K.</var>
                  parallela
                    <lb/>
                  orizontali,
                    <reg norm="ductaque" type="simple">ductaq́;</reg>
                    <var>.y.g.K.</var>
                  ad terminandam
                    <var>.s.K.</var>
                  delineas deinde ſeparatim circulum
                    <lb/>
                    <var>q.x.b.n.</var>
                  magnitudinis prioris, qui quidem circulus ſignificet orizontem ipſum, in
                    <lb/>
                  quo ductis diametris
                    <var>.q.g.b.</var>
                  et
                    <var>.l.g.m.</var>
                  accipis in diametro
                    <var>.q.g.b.</var>
                  puncta
                    <var>.a.</var>
                  et
                    <var>.ω.</var>
                  ita à
                    <reg norm="cen­ tro" type="context">cẽ­
                      <lb/>
                    tro</reg>
                    <var>.g.</var>
                  diſtantia, vt ſunt in diametro orizontali prioris circuli, ducis poſtea per pun-
                    <lb/>
                  ctum
                    <var>.a.</var>
                  lineam
                    <var>.x.a.n.</var>
                  ad rectos cum dicto diametro, </s>
                  <s xml:id="echoid-s3890" xml:space="preserve">deinde per tria puncta
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                    <lb/>
                  tranſire facis circunferentiam circuli per
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                  quarti Euclidis, poſtea in dicto dia-
                    <lb/>
                  metro accipis punctum
                    <var>.t.</var>
                  ita diſtans à centro, & ex eadem parte, vt in priori circulo,
                    <lb/>
                  à quo puncto ducis
                    <var>.t.u.</var>
                  parallelam
                    <var>.x.n.</var>
                  vſque ad circunferentiam
                    <var>.x.ω.n.</var>
                  in puncto
                    <var>.u.</var>
                    <lb/>
                  quo facto, ducis à centro
                    <var>.g.</var>
                  per punctum
                    <var>.u.</var>
                  ipſius circularis circunferentiæ
                    <var>.g.u.</var>
                  inde-
                    <lb/>
                  terminatam, quam poſtea terminas in puncto
                    <var>.K.</var>
                  ita quod
                    <var>.g.K.</var>
                  æqualis ſit
                    <var>.s.K</var>
                  . </s>
                  <s xml:id="echoid-s3891" xml:space="preserve">Dicis
                    <lb/>
                  poſtea punctum
                    <var>.K.</var>
                  in eodem ſitu reperiri, reſpectu duorum diametrorum
                    <var>.q.b.</var>
                  me-
                    <lb/>
                  ridiani. et
                    <var>.l.m.</var>
                  verticalis, vt decet, & oportet punctum horæ propoſitę exiſtere.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3892" xml:space="preserve">Quod quidem dico eſſe falſum, propterea quod perpendiculares quas cogita-
                    <lb/>
                  mus cadere à punctis circunferentiæ cuiuſuis paralleli ſupra quemuis orizontem ob­ </s>
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