Clavius, Christoph, Geometria practica

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          <p>
            <s xml:id="echoid-s5781" xml:space="preserve">
              <pb o="150" file="180" n="180" rhead="GEOMETR. PRACT."/>
            per circinum inquiratur, quot particulæ in lateribus figuræ OPQRS, continean-
              <lb/>
            tur ex illis, quæ in quauis recta ex K, emiſſa ſumptæ fuere. </s>
            <s xml:id="echoid-s5782" xml:space="preserve">Totidem namq; </s>
            <s xml:id="echoid-s5783" xml:space="preserve">men-
              <lb/>
            ſuræ in lateribus campi comprehendentur, vt perſpicuum eſt ex figurarum ſimi-
              <lb/>
            litudine.</s>
            <s xml:id="echoid-s5784" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Vrbis cuiuſ-
            <lb/>
          uis, ac regio-
            <lb/>
          nis ſit{us} quo
            <lb/>
          pacto deſcri-
            <lb/>
          batur.</note>
          <p>
            <s xml:id="echoid-s5785" xml:space="preserve">5. </s>
            <s xml:id="echoid-s5786" xml:space="preserve">
              <emph style="sc">Eadem</emph>
            prorſus ratio tenenda eſt in ſitu alicuius atrij vel templi, vel vr-
              <lb/>
            bis, autregionis explorando. </s>
            <s xml:id="echoid-s5787" xml:space="preserve">Solum in vrbe deſcribenda pro punctis F, & </s>
            <s xml:id="echoid-s5788" xml:space="preserve">G,
              <lb/>
            eligendæ ſunt duæ turres altæ, è quibus omnes vrbis anguli conſpici poſsint, & </s>
            <s xml:id="echoid-s5789" xml:space="preserve">
              <lb/>
            quarum diſtantia vnius ab altera vel cognita ſit, vel per præcedentia problema-
              <lb/>
            ta inueſtigata. </s>
            <s xml:id="echoid-s5790" xml:space="preserve">In regione autem delineanda pro ijſdem punctis F, & </s>
            <s xml:id="echoid-s5791" xml:space="preserve">G, duo op-
              <lb/>
            pida deligenda ſunt, & </s>
            <s xml:id="echoid-s5792" xml:space="preserve">in quolibet ex altiſsima turre circumia centia oppida in-
              <lb/>
            ſpicienda, vt anguli habeantur, quos rectæ ab oculo menſoris ad ſingula oppi-
              <lb/>
            da eductæ conſtituunt. </s>
            <s xml:id="echoid-s5793" xml:space="preserve">Hiautem facilius obſeruabuntur, ſi loco dioptrę, quia
              <lb/>
            nimis alta eſt, ſtatuatur planumerectum in punctis F, & </s>
            <s xml:id="echoid-s5794" xml:space="preserve">G, ita vt cir cumductum
              <lb/>
            tranſeat per oppida circumiacentia, ſi intelligatur eſſe productum. </s>
            <s xml:id="echoid-s5795" xml:space="preserve">Ita namque
              <lb/>
            planum ipſum rectas deſignabit, quæ angulos prædictos conſtituant. </s>
            <s xml:id="echoid-s5796" xml:space="preserve">Atq; </s>
            <s xml:id="echoid-s5797" xml:space="preserve">hoc
              <lb/>
            etiam in ſitu vrbium perueſtigando faciendum erit. </s>
            <s xml:id="echoid-s5798" xml:space="preserve">Itaq; </s>
            <s xml:id="echoid-s5799" xml:space="preserve">ſi anguli vrbis cuiuſ-
              <lb/>
            piam, aut oppida alicuius regionis ſint A, B, C, D, E, & </s>
            <s xml:id="echoid-s5800" xml:space="preserve">duæ turres in F, & </s>
            <s xml:id="echoid-s5801" xml:space="preserve">G, o-
              <lb/>
            mnia perficienda erunt, vt ſupra de campi ſitu dictum eſt. </s>
            <s xml:id="echoid-s5802" xml:space="preserve">Nam ſitum vrbis, vel
              <lb/>
            regionis exhibebit figura OPQRS, diſtantiæ que locorum A, B, C, D, E, vnius ab
              <lb/>
            altero cognoſcentur, vt de lateribus campi dictum eſt.</s>
            <s xml:id="echoid-s5803" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5804" xml:space="preserve">6. </s>
            <s xml:id="echoid-s5805" xml:space="preserve">
              <emph style="sc">Qvod</emph>
            ſi intra ſitum propoſitum duoloca, vel vnus ſaltem non exiſtat,
              <lb/>
            vnde omnes anguli conſpici poſsint, vt in omnibus ædificijs contingit, oporte-
              <lb/>
            bit ſitum circumire, & </s>
            <s xml:id="echoid-s5806" xml:space="preserve">inueſtigare angulos per rectas, quæ in campo à baculo ad
              <lb/>
            baculum ducendæ ſunt per catenulam ferream, vel chordam, aut certe erigen-
              <lb/>
              <figure xlink:label="fig-180-01" xlink:href="fig-180-01a" number="111">
                <image file="180-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/180-01"/>
              </figure>
            dum planum, quod per binos baculos tranſire conſpiciatur.
              <lb/>
            </s>
            <s xml:id="echoid-s5807" xml:space="preserve">Ipſum enim planum dictas rectas exhibebit. </s>
            <s xml:id="echoid-s5808" xml:space="preserve">In ædificijs au-
              <lb/>
            tem, ac templisipſi muriexteriores dictos angulos conſtitu-
              <lb/>
            unt, quorum amplitudo inueſtigari ſolet ab artificibus inſtru-
              <lb/>
            mento quodam ex duabus regulis compacto, quarum vna
              <lb/>
            ſub alteram ingreſſa moueatur, (quod Italis Squadrazoppa
              <lb/>
            dicitur) vt hæc figura indicat. </s>
            <s xml:id="echoid-s5809" xml:space="preserve">Aperto namque inſtrumento,
              <lb/>
            ſi crura duobus muris angulum effi cientibus congruent, da-
              <lb/>
            buntinteriora crurium latera in cõcurſu angulum quæſitum. </s>
            <s xml:id="echoid-s5810" xml:space="preserve">
              <lb/>
            Et ſi idem inſtrumentum interioribus angulis ædificiorum applicetur, dabunt
              <lb/>
            eadem latera interiora crurium angulos, qui à muris effi ciuntur. </s>
            <s xml:id="echoid-s5811" xml:space="preserve">Inuentis angu-
              <lb/>
            lis, ac notatis, menſuranda erunt interualla inter baculos in campo erectos, vel
              <lb/>
            inter angulos ædificiorum, per catenulam ferream, vel chordã, aut certe in cam-
              <lb/>
            pis, ſi ea interualla longa ſint, per problema 2. </s>
            <s xml:id="echoid-s5812" xml:space="preserve">vel 36. </s>
            <s xml:id="echoid-s5813" xml:space="preserve">exploranda in aliqua men-
              <lb/>
            ſura nota, vtin cubitis. </s>
            <s xml:id="echoid-s5814" xml:space="preserve">Nam ſi in charta ducatur linea OP, tot particulas æqua-
              <lb/>
            les continens, quot cubiti, verbi gratia, in interuallo AB, deprehenſi ſunt, & </s>
            <s xml:id="echoid-s5815" xml:space="preserve">an-
              <lb/>
            gulus POS, angulo BAE, inuento fiat æqualis: </s>
            <s xml:id="echoid-s5816" xml:space="preserve">& </s>
            <s xml:id="echoid-s5817" xml:space="preserve">in recta O S, accipiantur tot
              <lb/>
            particulæ prioribus æquales vſq; </s>
            <s xml:id="echoid-s5818" xml:space="preserve">ad S, quot cubiti in interuallo AE, repertiſunt: </s>
            <s xml:id="echoid-s5819" xml:space="preserve">
              <lb/>
            acrurſum angulus OSR, angulo AED, æqualis fiat, & </s>
            <s xml:id="echoid-s5820" xml:space="preserve">ſic deinceps, repræſenta-
              <lb/>
            bitur ſitus campi per figuram O P Q R S. </s>
            <s xml:id="echoid-s5821" xml:space="preserve">Idemque de ſitu ædificiorum
              <lb/>
            tam exteriori, quam interiori intelligendum eſt, ſi diligenter anguli, ac diſtantię
              <lb/>
            obſeruentur.</s>
            <s xml:id="echoid-s5822" xml:space="preserve"/>
          </p>
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