Clavius, Christoph, Geometria practica

Table of handwritten notes

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[Handwritten note 71]
[Handwritten note 72]
[Handwritten note 73]
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        <div xml:id="echoid-div298" type="section" level="1" n="129">
          <p>
            <s xml:id="echoid-s4764" xml:space="preserve">
              <pb o="122" file="152" n="152" rhead="GEOMETR. PRACT."/>
            circumuoluatur, donec eius linea fiduciæ rectæ a H, per quam extremum E, in-
              <lb/>
            ſpectum fuit, reſpondeat, notetur que vmbra verſa b F, abſciſſa. </s>
            <s xml:id="echoid-s4765" xml:space="preserve">Eruntque tri-
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            angula a b F, a A E, æquiangula, propter rectos angulos b, A, & </s>
            <s xml:id="echoid-s4766" xml:space="preserve">alternos b a F,
              <lb/>
              <note symbol="a" position="left" xlink:label="note-152-01" xlink:href="note-152-01a" xml:space="preserve">4. ſexts.</note>
            A E a, æquales. </s>
            <s xml:id="echoid-s4767" xml:space="preserve"> Quamobrem ſi
              <note style="it" position="right" xlink:label="note-152-02" xlink:href="note-152-02a" xml:space="preserve">
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              Vt vmbra verſa b F, # ad quadrati lat{us} a b, \\ 1000. # ita ſpatium A a, \\ notum # ad A e,
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              </note>
            cognita erit longitudo A E, in partibus ſpatij A a.</s>
            <s xml:id="echoid-s4768" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s4769" xml:space="preserve">
              <emph style="sc">Si</emph>
            forte dioptra latus d c, vmbræ rectæ interſecet, (quod raro continget, cũ
              <lb/>
              <note symbol="b" position="left" xlink:label="note-152-03" xlink:href="note-152-03a" xml:space="preserve">4. ſexti.</note>
            plerunque AE, maior, ſit, quam A a,) erit tunc.</s>
            <s xml:id="echoid-s4770" xml:space="preserve">
              <note style="it" position="right" xlink:label="note-152-04" xlink:href="note-152-04a" xml:space="preserve">
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              Vt lat{us} a d, 1000. # ad vmbram rectam \\ abſciſſam: # Ita ſpatium A a, # ad longitu- \\ dinem.
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              </note>
            vt perſpicuum eſt, ſi ducatur ex a, recta ſecans latus d c, &</s>
            <s xml:id="echoid-s4771" xml:space="preserve">c.</s>
            <s xml:id="echoid-s4772" xml:space="preserve"/>
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          <note symbol="c" position="left" xml:space="preserve">6. primi.</note>
          <p>
            <s xml:id="echoid-s4773" xml:space="preserve">
              <emph style="sc">Si</emph>
            denique dioptra fortaſsis per c, tranſiret, eſſet ſpatium A a, longitudini quæſitæ æquale; </s>
            <s xml:id="echoid-s4774" xml:space="preserve">propterea quod tunc fieret angulus ſemirectus d a c, ideoque
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            & </s>
            <s xml:id="echoid-s4775" xml:space="preserve">recta a c, ſi duceretur, faceret cum AE, angulum ſemirectum, atque adeo an-
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            gulo d a c, æqualem.</s>
            <s xml:id="echoid-s4776" xml:space="preserve"/>
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            <s xml:id="echoid-s4777" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4778" xml:space="preserve">
              <emph style="sc">Eadem</emph>
            diſtantia longitudone A E, cognoſcetur, ſi tamin G, quam in H,
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            baculus, ſeu arundo adangulos rectos figatur, ita vt ex A, a, radij per arundinem
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            incedentes ad E, ferantur, ſpatiumque A a, cognitum ſit: </s>
            <s xml:id="echoid-s4779" xml:space="preserve">vt in 2. </s>
            <s xml:id="echoid-s4780" xml:space="preserve">probl. </s>
            <s xml:id="echoid-s4781" xml:space="preserve">Num.
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            </s>
            <s xml:id="echoid-s4782" xml:space="preserve">6. </s>
            <s xml:id="echoid-s4783" xml:space="preserve">traditum eſt.</s>
            <s xml:id="echoid-s4784" xml:space="preserve"/>
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            <s xml:id="echoid-s4785" xml:space="preserve">LONGITVDINEM in Horizonte è directo menſoris iacentem co-
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            gnoſcere, ad cuius extrema neque accedere liceat, neque è loco men-
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            ſoris eam dimetiri, neque vlla adſit altitudo, dummodo ad dextram
              <lb/>
            vel ſiniſtram per lineam perpendicularem ad locum aliquem ire poſ-
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            ſit menſor, ex quo vtrumque extremum appareat.</s>
            <s xml:id="echoid-s4786" xml:space="preserve"/>
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        <div xml:id="echoid-div301" type="section" level="1" n="130">
          <head xml:id="echoid-head133" xml:space="preserve">PROBLEMA XIII.</head>
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            <s xml:id="echoid-s4787" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4788" xml:space="preserve">
              <emph style="sc">Longitvdo</emph>
            metienda ſit E D, è directo
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              <figure xlink:label="fig-152-01" xlink:href="fig-152-01a" number="81">
                <image file="152-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/152-01"/>
              </figure>
            menſoris in F, exiſtentis, ita vt neque ad eam acce-
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            dere liceat, neque eam è loco F, metiri, neque vlla
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            adſit altitudo: </s>
            <s xml:id="echoid-s4789" xml:space="preserve">Sed ſolum per lineam perpendicu-
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            larem F G, ad locum G, vnde vtrumque extremum
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            D, E, videatur, poſsit accedere. </s>
            <s xml:id="echoid-s4790" xml:space="preserve">Per problema præ-
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            cedens in quiratur ex G, tam longitudo F E, quam
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            F D. </s>
            <s xml:id="echoid-s4791" xml:space="preserve">Hæc enim ex illa detracta notam relinquet propoſitam longitudinem D E,</s>
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            <s xml:id="echoid-s4792" xml:space="preserve">ALTITVDINEM montis, vel turris ex eius faſtigio, quando è di-
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            recto menſoris interuallum aliquod inter duo ſigna, vel etiam inter
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            fignum quodpiam ac turrim cognitum eſt, per quadratum coniicere.</s>
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