Clavius, Christoph, Geometria practica

Table of figures

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            tum punctum D. </s>
            <s xml:id="echoid-s16181" xml:space="preserve">Eadem ratione, ſi ſuper baſem C D, triangulum conſtruatur
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            C D E, triangulo B C D, æquilaterum ordine prædicto, ita vt latus D E, lateri C B,
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              <figure xlink:label="fig-373-01" xlink:href="fig-373-01a" number="261">
                <image file="373-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/373-01"/>
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            & </s>
            <s xml:id="echoid-s16182" xml:space="preserve">latus CE, lateri BD, æquale ſit, inuentum erit aliud punctum E, per quod cir-
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            cumferentia incedat. </s>
            <s xml:id="echoid-s16183" xml:space="preserve">Atque eadem arte reperietur aliud punctum F, per trian-
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            gulum DEF, triangulo E D C, æquilaterum, &</s>
            <s xml:id="echoid-s16184" xml:space="preserve">c. </s>
            <s xml:id="echoid-s16185" xml:space="preserve">Eodem modo ex altera parte
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            reperietur aliud punctum G, per triangulum A B G, triangulo B A C, æquilate-
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            rum, & </s>
            <s xml:id="echoid-s16186" xml:space="preserve">ſic deinceps. </s>
            <s xml:id="echoid-s16187" xml:space="preserve">Si igitur eligantur tria puncta, ita vt rectæ ea connecten-
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            tes conſtituant quaſi angulum rectum, qualia ſunt tria puncta A, C, D, & </s>
            <s xml:id="echoid-s16188" xml:space="preserve">ex
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            proximis A, C, ad quo dcunque idem interuallum bini arcus deſcribantur, & </s>
            <s xml:id="echoid-s16189" xml:space="preserve">
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            ex proximis C, D, binialij; </s>
            <s xml:id="echoid-s16190" xml:space="preserve">ac per interſectiones horum arcuum rectæ lineæ
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            emittantur, ſecabunt ſeſe in centro H, &</s>
            <s xml:id="echoid-s16191" xml:space="preserve">c. </s>
            <s xml:id="echoid-s16192" xml:space="preserve">Aptiſsima quo que eſſent tria pun-
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            cta G, B, D, quamuis angulus D B G, acutus ſit. </s>
            <s xml:id="echoid-s16193" xml:space="preserve">Item tria puncta G, B, E, & </s>
            <s xml:id="echoid-s16194" xml:space="preserve">C,
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            E, F, &</s>
            <s xml:id="echoid-s16195" xml:space="preserve">c.</s>
            <s xml:id="echoid-s16196" xml:space="preserve"/>
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          <head xml:id="echoid-head383" xml:space="preserve">PROBL. 7. PROPOS. 14.</head>
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            <s xml:id="echoid-s16197" xml:space="preserve">DATO exceſſu diametri Quadrati ſupra latus: </s>
            <s xml:id="echoid-s16198" xml:space="preserve">Item dato exceſſu dia-
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            metri Rhombi ſupra latus, vellateris ſupra diametrum (quando illud
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            maius eſt) vna cum vno Rhombi angulo: </s>
            <s xml:id="echoid-s16199" xml:space="preserve">Dato præterea exceſſu dia-
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            metri rectanguli ſupra vtr umlibet laterum inæqualium, vna cum an-
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            gulo, quem diameter cum eo latere facit, vel vna cum proportione
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            eorundem inæqualium laterum: </s>
            <s xml:id="echoid-s16200" xml:space="preserve">Dato deniq; </s>
            <s xml:id="echoid-s16201" xml:space="preserve">exceſſu diametri Rhõ-
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            boidis ſupra vtrumuis laterum inæqualium, vel vtriuſuis inæqualium
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            laterũ ſupra diametrum (quando illud maius eſt) vna cũ vno angulo
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            Rhomboidis, & </s>
            <s xml:id="echoid-s16202" xml:space="preserve">inſuper cum angulo, quem diameter cum eo latere
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            facit, vel inſuper cum proportione duortum laterum in æqualiũ; </s>
            <s xml:id="echoid-s16203" xml:space="preserve">Qua-
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            dratum ipſum, Rhombũ, Rectangulũ, & </s>
            <s xml:id="echoid-s16204" xml:space="preserve">Rhomboides conſtituere.</s>
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