Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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liquo angulo ADC, in triangulo ADC, æqualis. </
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ita AB, ad BE. </
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CD, AB. </
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AD, oſten-
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ſum eſt æqua
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le; </
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">& </
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<
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lum ſub AC,
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BE, rectãgu
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lo ſub CD,
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AB: </
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tem rectangu
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la ſub AC,
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DE, & </
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AC, BE, ſimul rectangulo ſub AC, BD, æqualia; </
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BD, rectangulis ſub BC, AD, & </
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<
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in circulo quadrilaterum deſcribatur, &</
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cilius demonſtrabitur theorema, hoc modo. </
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lib. 1.</
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hoc eſt, quadratum ex _AC,_ (ſunt enim diametri in quadrato æquales) æquale eſt
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quadratis ex _AD, DC,_ hoc eſt, rectangulis ſub _AD,
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C,_ & </
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tis, propter æqualitatem rectarum _AD, BC,_ & </
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<
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proponitur.</
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metro cir-
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culi quo pa
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cto latera
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trianguli ę-
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quilateri,
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quadrati,
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hexagoni,
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pentagoni,
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& dccago-
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ni eiuſdem
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circuli in-
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ueſtigent́.</
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rum, latera trianguli æquilateri, quadrati, hexago-
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ni, pentagoni, & </
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ſcriptorum, in eiſdem partibus inueſtigare.</
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xagoni ſemidia metro circuli eſt æquale, ipſum notum fiet partium 10000000.</
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quarti.</
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duplum eſt quadrati eiuſdem; </
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primi.</
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pti eadem, quæ circuli diameter: </
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deſcriptũ, népe 400000000000000. </
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</
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<
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">quadratum lateris quadrati, cuius radix quadrata 14142136. </
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drati. </
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ſcriptum duplum eſt quadrati à ſemidiametro deſcriptum, vt patet in trian-
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<
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gulo rectangulo ADE, primę figuræ præcedẽtis propoſ. </
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</
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<
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partium 200000000000000. </
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<
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tus quad rati.</
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