Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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LM, ſimiles ſint, quorum chordæ IK, LM, bifariam ſectæ ſint à ſemidiametris in
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N, O. </
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<
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chordæ IK, ad chordam LM, &</
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circumferentiam EFH, hoc eſt, quadrans AB, ad quadrantem EF, vt
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ter AC, ad diametrum EG; </
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ter PB, ad ſemidiametrum QF. </
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<
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drans AB, ad quadrantem EF, ita arcus IB, ad arcum
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LF, cum ſimiles ponantur. </
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cus IB, ad arcum L F, vt ſemidiameter P B, ad ſemi-
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diametrum QF. </
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noſtri Aſtrolabilij, ita ſe habeat P B, ſinus totus ad
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QF, ſinum totum, quemadmo dum ſinus IN, ad ſinum L O. </
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<
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IB, ad arcum LF, vt ſinus IN, ad ſinum LO, id eſt, duplus arcus IK, ad
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arcum LM, vt chorda IK, ipſius IN, dupla, ad chordam LM, ipſius LO, duplam.
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ſit iamarcus IK, ad arcum LM, vt chorda IK, ad chordam LM. </
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co arcus ſimiles eſſe. </
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arcum LF, ſemiſsis ad ſemiſſem, vt IN, ad LO, ſemiſsis ad ſemiſſem. </
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ſexti.</
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IB, ad LF, ita eſt quadrans AB, ad quadrantem EF; </
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ad ſinum LO, vt ſinus totus PB, ad ſinum totum QF: </
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mate propoſ. </
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labij, arcus IB, LF, ſimiles erunt; </
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erunt. </
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hinc, ſi arcus IBK, LFM, non ſint ſimiles, eos non habere ean-
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dem cum chordis proportionem, Sinamque eandem haberent, ipſi ſimiles eſ-
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ſent, vt in ſecunda parte huius propoſ. </
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ponantur non ſimiles.</
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lius, quam per propoſ. </
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quadrilaterum quodcunque ABCD, & </
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metro BD, eaque diuiſa bifariam in E, ducatur per E,
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recta FG, faciens in E, angulum FED, dato angulo K,
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æqualem. </
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& </
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bus FG, HI, in F, H, G, I, conſtitutum erit parallelo-
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grammum FI, in dato angulo G, qui æqualis eſt an- gulo, FED, internus externo, hoc eſt, angulo K. </
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