Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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acutus, quadrante minor: </
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<
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ior quadrante. </
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<
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lum continentium fuerit quadrans, erit angulus,
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quem ſubtendit, rectus: </
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<
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acutus: </
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<
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</
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<
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ter reliquorum, nempe B, etiam rectus. </
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<
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xml:space
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quadrantem eſſe. </
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<
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<
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arcus AB, AC, quadrans.</
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</
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<
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<
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<
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xml:space
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rem. </
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que arcus BD, cum arcu CA, producto in
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D. </
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rectus eſt, erit & </
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<
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quadrans; </
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<
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quadrante.</
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<
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arcum AC, quadrante maiorem eſſe. </
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enim angulus CBE, rectus, ſecetq́ue arcus
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BE, arcum AC, in E. </
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que angulus C, CBE, rectus eſt, erit & </
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<
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xml:space
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terque arcus BE, CE, quadrans; </
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<
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arcus AC, quadrante maior erit.</
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<
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</
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<
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1. Theod.
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13. 1. Theod.
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15. 1. Theod.</
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(cum arcus CA, per polum arcus BC, tranſeat, ob angulum rectum C;) </
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<
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adeo angulus ABC, rectus.</
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<
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ſum B, eſſe acutum. </
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<
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xml:space
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1. Theod.
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13.1 Theod.
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20.1 Theod.
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15.1 Theod.</
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>
erit eodem modo D, polus arcus CB; </
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tranſeat. </
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lus DBC, rectus; </
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<
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<
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<
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<
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<
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xml:space
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1. Theod.
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13. 1. Theod.
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20. 1 Theod.
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25. 1. Theod.</
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ſubtenſum obtuſum eſſe. </
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<
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arcus BC; </
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<
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<
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ergo per puncta E, B, arcu EB, circuli maximi, erit angulus EBC, rectus;
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</
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<
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<
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Quod erat demonſtrandum.</
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terque arcuum comprehendentium angulum </
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