Clavius, Christoph, Geometria practica

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[Item 1.]
[2.] CHRISTOPHORI CLAVII BAMBER- GENSISE SOCIETATE Iesv. GEOMETRIA PRACTICA.
[3.] Cum gratia & Priuilegio Sac. Cæſ. Maieſtat. Superiorum Permiſu. Mogvntia, Ex Typographeo lOANNIS Albini. ANNO M. DC. VI.
[4.] Perillvstri Ac Generoso D. GEORGIO FVGGERO SENIORI BARONI IN KIRCHBERG, ET VVEISSENHORN Chriſtophorus Clauius è Societate IESV S.P.D.
[5.] Romæ pridie Idvs Septemb. cIↄ. cI. CIIII.
[6.] Clavdivs Aqvaviva Societatis Iesv Præpoſitus Generalis.
[7.] INDEX CAPITVM, PROBLE-MATVM, AC PROPOSITIONVM HORVM VIII. LIBRORVM. PRIMI LIBRI CAPITA.
[8.] SECVNDI LIBRI PROBLEMATA.
[9.] TERTII LIBRI PROBLEMATA.
[10.] QVARTI LIBRI CAPITA.
[11.] QVINTI LIBRI CAPITA.
[12.] SEXTI LIBRI PROPOSITIONES.
[13.] SEP TIMI LIBRI Propoſitiones.
[14.] FINIS.
[15.] PRÆFATIO.
[16.] GEOMETRIÆ PRACTICÆ. LIBER PRIMVS. Tria capita ad dimenſionem linearum ſum-me neceſſaria complectens.
[17.] INSTRVMENTI PARTIVM Conſtructio, atque vſus. CAPVT I.
[18.] CAPVT II.
[19.] SEQVITVR TABELLA.
[20.] PROBLEMATA VARIA TRIANGV-lorum rectilineorum. Capvt III.
[21.] TRIANGVLORVM RECTILINEORVM RECTAN-gulorum problemata. I. PROPORTIONES LATERVM
[22.] II. LATVS.
[23.] III. LATVS.
[24.] IIII. LATVS.
[25.] V. BASEM.
[26.] VI. BASEM.
[27.] VII. ANGVLVM.
[28.] VIII. ANGVLVM.
[29.] TRIANGVLORVM RECTILINEO-rum obliquangulorum Problemata. IX. SEGMENTA LATERIS A Perpendiculari facta.
[30.] X. LATERA DVO.
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          <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.
              <lb/>
            </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
              <lb/>
            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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