Clavius, Christoph, Geometria practica

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              <pb o="90" file="120" n="120" rhead="GEOMETR. PRACT."/>
            terſecabit, facietque angulum complementi altitudinis IAB, ſemirecto minorẽ.
              <lb/>
            </s>
            <s xml:id="echoid-s3568" xml:space="preserve">Quando denique latus AB, idem efficitur cum radio KA, erit angulus altitudinis
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            EAK, ſemirecto minor, & </s>
            <s xml:id="echoid-s3569" xml:space="preserve">angulus complementi FAK, ſemirecto maior, cui
              <note symbol="a" position="left" xlink:label="note-120-01" xlink:href="note-120-01a" xml:space="preserve">15. primi.</note>
            qualis eſt angulus IAB: </s>
            <s xml:id="echoid-s3570" xml:space="preserve">acproinde filum vmbram verſam abrumpet, conſti-
              <lb/>
            tuetque angulum altitudinis I A D, ſemirecto minorem. </s>
            <s xml:id="echoid-s3571" xml:space="preserve">Idem prorſits cernitur
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            in quadrato ſtabili ABCD, in quo vmbrærectæ latus eſt infimum CD, cum cen-
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            trum A, ſupremum occupet locum, vt ſuprâ in conſtructione Quadrati Num.
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            </s>
            <s xml:id="echoid-s3572" xml:space="preserve">4. </s>
            <s xml:id="echoid-s3573" xml:space="preserve">dictum eſt. </s>
            <s xml:id="echoid-s3574" xml:space="preserve">Vbi rurſus perſpicitur, quando altitudo EG, eſt grad. </s>
            <s xml:id="echoid-s3575" xml:space="preserve">45. </s>
            <s xml:id="echoid-s3576" xml:space="preserve">radium
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            G A, cadere in angulum oppoſitum C, ac proinde tam angulum C A B, quam
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            CAD, æqualem eſſe angulo altitudinis, nimirum ſemirectum. </s>
            <s xml:id="echoid-s3577" xml:space="preserve">Quando autem
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            altitudo E H, maior eſt, quam grad. </s>
            <s xml:id="echoid-s3578" xml:space="preserve">45. </s>
            <s xml:id="echoid-s3579" xml:space="preserve">angulum I A D, quem linea fiduciæ AI,
              <lb/>
              <note symbol="b" position="left" xlink:label="note-120-02" xlink:href="note-120-02a" xml:space="preserve">15. primi.</note>
            vmbram rectam auferens DI, cum latere AD, facit, æqualem eſſe angulo FAH, qui complementum eſt anguli altitudinis EAH. </s>
            <s xml:id="echoid-s3580" xml:space="preserve">Quando denique altitudo EK,
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            minor eſt, quam grad. </s>
            <s xml:id="echoid-s3581" xml:space="preserve">45. </s>
            <s xml:id="echoid-s3582" xml:space="preserve">angulum IAB, quemlinea fiduciæ AI, vmbram verſam
              <lb/>
            BI, aſcindens cumlatere AB, conſtituit, æqualem eſſe angulo ipſi altitudinis
              <note symbol="c" position="left" xlink:label="note-120-03" xlink:href="note-120-03a" xml:space="preserve">15. primi.</note>
            AK: </s>
            <s xml:id="echoid-s3583" xml:space="preserve">quæ omnia demonſtranda erant. </s>
            <s xml:id="echoid-s3584" xml:space="preserve">Sed ecce tibitabulam, de qua dixi. </s>
            <s xml:id="echoid-s3585" xml:space="preserve">cõ-
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            tinentem gradus, ac minuta angulorum, quos filum perpendiculi, vel linea fi-
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            duciæ in omnibus partibus milleſimis vtriuſq; </s>
            <s xml:id="echoid-s3586" xml:space="preserve">vmbræ cum proximo latere qua-
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            drati efficit. </s>
            <s xml:id="echoid-s3587" xml:space="preserve">In qua vides, angulum ſub parte 800. </s>
            <s xml:id="echoid-s3588" xml:space="preserve">in vertice ſumpta, & </s>
            <s xml:id="echoid-s3589" xml:space="preserve">ère-
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            gione partis 50. </s>
            <s xml:id="echoid-s3590" xml:space="preserve">continere gradus 40. </s>
            <s xml:id="echoid-s3591" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s3592" xml:space="preserve">22. </s>
            <s xml:id="echoid-s3593" xml:space="preserve">fere, vt ſupra diximus: </s>
            <s xml:id="echoid-s3594" xml:space="preserve">ac tantus
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            erit angulus altitudinis, ſi partes 850. </s>
            <s xml:id="echoid-s3595" xml:space="preserve">ſpectent ad vmbram verſam: </s>
            <s xml:id="echoid-s3596" xml:space="preserve">eius verò
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            complementum grad 49. </s>
            <s xml:id="echoid-s3597" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s3598" xml:space="preserve">38. </s>
            <s xml:id="echoid-s3599" xml:space="preserve">fere altitudinem exhibebit, ſi dictæ partes ex
              <lb/>
              <note position="left" xlink:label="note-120-04" xlink:href="note-120-04a" xml:space="preserve">Tabula Gno-
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              monica cur
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              ſic dicatur.</note>
            vmbra recta abſciſſæ fuerint. </s>
            <s xml:id="echoid-s3600" xml:space="preserve">Tabula porro hæc dici poteſt Gnomoni-
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            ca, quodin quadrato ſtabilidicti anguli in tabula com-
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            prehenſi efficiantur à gnomone AD, vel AB,
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            cum linea fiduciæ, vt patet.</s>
            <s xml:id="echoid-s3601" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div231" type="section" level="1" n="101">
          <head xml:id="echoid-head104" xml:space="preserve">SEQVITVR TABVLA
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          Gnomonica.</head>
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