Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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clinatus eſt ad partes R, & </
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M N, ad eaſdem partes R, erit inclinatus. </
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per V, vſque ad alteram ſectionem tranſiens ſectum eſt inæqualiter in T, eſt-
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q́ue minor pars T X, vt mox oſtcndemus. </
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<
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recta T F: </
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quàm recta H S; </
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<
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">atquo adeo, vt in lemmate propoſ. </
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eſt, maior erit arcus H S, quàm vt ſimilis eſſe poſsit arcui T X. </
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cus I L, arcui H S, & </
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">arcus L N, arcui T X, ſit ſimilis, maior erit quoque ar-
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cus I L, quàm vt ſimilis ſit arcui L N; </
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erit I L, maior, quam L N. </
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circulum tangat, &</
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pit, et per V, vſque ad alteram ſectionẽ protenditur, it a demonſtrabimus.
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<
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">Per E, ducatur circulus maximus E Z, tangens parallelum A C, in Z, pun
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cto, quod ſit ad dexteram cir culimaximi N Y: </
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gẽtes A C, deſcribi poſſint,
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vnus ad ſinistram circuli
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huius.</
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N Y, et ad dexteram alter.
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circulus maximus Z Y, per
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Y, polum circuli A C, & </
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per Z, cõtactum deſcriptus
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trãſit quoq; </
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culi tangentis E Z. </
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idem circulus Y Z, ſecabit
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ſegmenta circulorum B E,
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E Z, bifariam. </
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maximi cir culi ſe bifariam
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ſecent, ſecabitur ſegmẽtum
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à puncto E, per Z, vſque ad
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alter am ſectionem, in duos
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quadrantes in puncto Z;
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erit. </
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circulus maximus Y D, deſcribatur. </
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inter E, & </
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huius.</
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polo, & </
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oſtendemus N M, eſſe quadrantem; </
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N, polo, & </
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lorum, qualis eſt M Y, atque adeo ſecare arcum B D, vltra punctum </
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