Clavius, Christoph, Geometria practica

Table of contents

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[31.] Rurſus
[32.] XI. LATVS.
[33.] XII. LATVS.
[34.] Deinde.
[35.] Hæc autem tangens hoc etiam modo inuenietur, qui priori præferendus videtur.
[36.] Poſt hæc.
[37.] XIII. LATVS.
[38.] XIIII. ANGVLOS DVOS.
[39.] XV. ANGVLOS DVOS.
[40.] XVI. ANGVLOS OMNES TRES. Ex tribus omnibus lateribus perueſtigare.
[41.] Rurſus.
[42.] XVII. PERPENDICVLAREM IN LATVS quodcunque ex angulo oppoſito cadentem. Ex tribus omnibus lateribus efficere notam.
[43.] FINIS LIBRI PRIMI.
[44.] GEOMETRIÆ PRACTICÆ LIBER SECVNDVS.
[45.] PROBLEMA I.
[46.] ALITER
[47.] ALITER
[48.] ALITER
[49.] LEMMA.
[50.] SCHOLIVM.
[51.] COROLLARIVM I.
[52.] COROLLARIVM II.
[53.] PROBLEMA II.
[54.] 2. ITEM ſi fiat.
[55.] ALITER.
[56.] Ergo ſi fiat,
[57.] Si igitur fiat.
[58.] COROLLARIVM I.
[59.] COROLLARIVM II.
[60.] PROBLEMA III.
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            <image file="081-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/081-01"/>
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        <div xml:id="echoid-div98" type="section" level="1" n="44">
          <head xml:id="echoid-head47" xml:space="preserve">GEOMETRIÆ
            <lb/>
          PRACTICÆ
            <lb/>
          LIBER SECVNDVS.</head>
          <p>
            <s xml:id="echoid-s2093" xml:space="preserve">Linearum rectarum per Quadrantem Aſtrono-
              <lb/>
            micum Dimenſionem explicans.</s>
            <s xml:id="echoid-s2094" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2095" xml:space="preserve">NOMINE linearum rectarum intelligim{us} diſtanti{as} loc@-
              <lb/>
            rum, ſeu interualla, longitudineſue: </s>
            <s xml:id="echoid-s2096" xml:space="preserve">altitudines turrium,
              <lb/>
            ædificio
              <unsure/>
            rum, arborum, & </s>
            <s xml:id="echoid-s2097" xml:space="preserve">montium: </s>
            <s xml:id="echoid-s2098" xml:space="preserve">ac poſtremo profun-
              <lb/>
            ditates puteorum, vallium, atque foſſarum. </s>
            <s xml:id="echoid-s2099" xml:space="preserve">Ad harum Di-
              <lb/>
            menſiones varii varia adhibent inſtrumenta; </s>
            <s xml:id="echoid-s2100" xml:space="preserve">quibuſdam
              <lb/>
            enim placet ſcala altimetra in dorſo Aſtrolabii, ſeu plani-
              <lb/>
            ſphærii deſcripta. </s>
            <s xml:id="echoid-s2101" xml:space="preserve">Aliis radi{us} Aſtronomic{us} Gemmæ Friſii, vel radi{us} dict{us}
              <lb/>
            Latin{us}, qu@d à Domino Latino Vrſino nobili Romano excogitat{us} ſit; </s>
            <s xml:id="echoid-s2102" xml:space="preserve">vel
              <lb/>
            bacul{us} Iacob: </s>
            <s xml:id="echoid-s2103" xml:space="preserve">Aliis annul{us} Aſtronomic{us}, vel Holometrum; </s>
            <s xml:id="echoid-s2104" xml:space="preserve">Aliis deniq{ue}
              <lb/>
            alia inſtrumenta arrident. </s>
            <s xml:id="echoid-s2105" xml:space="preserve">Mihi vero præ cæteris probatur Quadrans Aſtro-
              <lb/>
            nomic{us} in 90. </s>
            <s xml:id="echoid-s2106" xml:space="preserve">grad{us} diſtribut{us}: </s>
            <s xml:id="echoid-s2107" xml:space="preserve">& </s>
            <s xml:id="echoid-s2108" xml:space="preserve">Quadratum Geometricum tum ſtabile,
              <lb/>
            tum pendulum, cui{us} duo latera in cert{as} quaſdam partes æquales ſint diuiſa.
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            </s>
            <s xml:id="echoid-s2109" xml:space="preserve">Hoc autem 2. </s>
            <s xml:id="echoid-s2110" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2111" xml:space="preserve">qua ratione per Quadrantem Aſtronomicum Dimenſio
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            linearum rectarum perficiatur, docebim{us}. </s>
            <s xml:id="echoid-s2112" xml:space="preserve">Quæ ratio vt intelligatur, in
              <lb/>
            promptu, & </s>
            <s xml:id="echoid-s2113" xml:space="preserve">ad manum eſſe debent tabulæ ſinuum, Tangentium, atque ſecan-
              <lb/>
            tium in noſtro Theodoſio, & </s>
            <s xml:id="echoid-s2114" xml:space="preserve">in aliorum auctorum libris deſcripræ, vnde peten-
              <lb/>
            dæ erunt. </s>
            <s xml:id="echoid-s2115" xml:space="preserve">Superuacaneum enim eſſe duxim{us}, eaſdem hic repetere, ne op{us} in
              <lb/>
            maiorem formam excreſcat.</s>
            <s xml:id="echoid-s2116" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2117" xml:space="preserve">DISTANTIAM in plano, ſiue acceſſibilis ea ſit, ſiue inacceſſibilis
              <lb/>
            per duas ſtationes in eodem plano factas per Quadrantem metiri,
              <lb/>
            quando in eius extremo erecta eſt altitudo aliqua perpendicularis,
              <lb/>
            etiamſi infimum eius extremum non cernatur. </s>
            <s xml:id="echoid-s2118" xml:space="preserve">Atque hinc altitudi-
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            nem quoque ipſam elicere.</s>
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