Clavius, Christoph
,
In Sphaeram Ioannis de Sacro Bosco commentarius
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Comment. in I. Cap. Sphæræ
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turq́ue ab acu to angulo A, ad latus oppoſitum B C, recta A D, utcunque. </
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co maiore m eſſe proportionem rectæ B C, ad rectam C D, quàm anguli B A C,
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ad angulum C A D. </
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<
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maior quidem eſt, quàm A C, minor uero, quã
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A B, ſi centro A, interuallo autem A D, circu-
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lus deſcribatur; </
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<
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infra punctum C, ut in E, at uero rectam A B, ſu
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pra punctum B, ut in F. </
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portio trianguli B A D, ad ſectorem F A D, quã
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trianguli D A C, ad ſectorem D A E, (propterea
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quòd ibi eſt proportio maioris inæqualitatis, hic
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autem minoris inæqualitatis) erit quoque permu
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tando maior proportio trianguli B A D, ad triã-
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gulum D A C, quàm ſectoris F A D, ad ſectorem
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D A E. </
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<
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triangulum D A C, hoc eſt, rectæ B C, ad rectam C D, (habent enim trian-
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gula B A C, D A C, eandem proportionem, quàm baſes B C, C D.) </
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ſectoris F A E, ad ſectorem D A E, hoc eſt, quàm anguli B A C, ad angulum
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C A D; </
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n em ſectores, quàm anguli. </
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demonſtrandum erat.</
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ras Iſoperi-
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metras, quę
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plures an-
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gulos, ſeu
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latera con-
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@inet, illa
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@aior eſt.</
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<
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figurarum regularium maior eſt il-
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la, quæ plures continet angulos, plur areue latera.</
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duæ figuræ regulares iſoperimetræ A B C, D E F, habeatq́; </
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latera, ſiue angulos figura A B C, quàm D E F. </
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quàm D E F. </
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ducantur ad B C, E F, perpendiculares G I, H K, quæ diuident rectas B C,
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E F, bifariam. </
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bi iſoperimetra, efficitur, ut latus B C, ſæpius repetitum metiatur </
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