Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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minus erit, & </
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recta DE, ipſi BD, æquali, erit EC, differentia inter ſegmenta BD,
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DC. </
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xml:space
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">Dico quadratum lateris AC, ſuperare quadratum lateris AB, rectan-
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gulo ſub BC, EC, comprehenſo. </
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">Quia enim recta BE, ſecta eſt bifariam in
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D, eiq́; </
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contentum vna cum quadrato rectæ DE, qua-
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drato rectæ DC, æquale. </
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<
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communi rectæ AD, erit rectangulum ſub BC,
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EC, vnà cum quadratis rectarum DE, AD, hoc
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eſt, rectarum BD, AD, hoc eſt, cum quadrato
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rectæ AB, æquale quadratis rectarum DC, AD,
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hoc eſt, quadrato rectæ AC. </
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<
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dratum lateris AC, quam quadratum lateris
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AB, rectangulo ſub BC, EC, comprehenſo.
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</
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<
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<
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">CADAT deinde perpendicularis AD, ex-
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tra triangulum in baſim CB, productam, vt in
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figura poſteriori. </
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æquali, erit recta EC, compoſita ex baſe BC, & </
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EB, quæ dupla eſt lineæ DB, inter perpendicu-
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larem, & </
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lateris AC, ſuperare quadratum lateris AB, rectangulo ſub BC, EC, com-
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prehenſo. </
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ctæ DB, quadrato rectæ DC, æquale. </
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AD, erit rectangulum ſub BC, EC, vnà cum quadratis rectarum DB, AD,
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hoc eſt, cum quadrato rectę AB, æquale quadratis rectarum DC, AD, hoc
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eſt, quadrato rectæ AC. </
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lateris AB, rectangulo contento ſub BC, EC.</
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dratis ex AD, DB, quadratum ex AB, æquale eſt: </
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drati ex AC, ſupra quadratum ex AB, qui quadratorum ex AD, DC, ſu-
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pra quadrata ex AD, DB: </
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quadratiex DC, ſupra quadratum ex DB, per pronunciatum 17. </
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<
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comprehenſo; </
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D B, vel ex DE, in prima ſigura, vnà cum rectangulo ſub BC, CE, contento.
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prehenſo ſũb BC, CE. </
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lateribus inæqualibus com prehenſo linea perpendicularis ad baſim ducatur,
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&</
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laris in lſo
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ſcele ſecat
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baſim bifa
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riam.</
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priore triangulo latera AB, AC, ponantur æqualia, erunt eorum@uadrata quoque æqualia.
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<
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quadratis ex AD, CD: </
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lia: </
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lia, & </
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