Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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ximus circulus deſcriptus per vnius polos, & </
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contactum amborum circulorũ, per reliqui quo-
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que circuli polos tranſibit.</
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<
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<
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xml:space
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">IN ſphæra duo circuli A B, C B, tangãt ſe mutuo in B, ſintq́ D, E, poli
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ipſorum. </
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<
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ctum B, deſcriptum tranſire quoque per E, polum circuli C B. </
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<
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poteſt, non tranſeat per E, ſed per aliud quoduis punctum F, cuiuſmodi eſt
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circulus maximus D B F: </
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<
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<
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045-01
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D E, qui omnino per conta-
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">4. huius.</
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ctum B, tranſibit; </
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<
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duo circuli maximi D B F,
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D B E, ſe mutuo ſecabuntin
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D, & </
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<
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Semicirculus ergo erit vterq;
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<
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culus maximus per alterũ po-
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lorũ cuiuſlibet circuli in ſphæ
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ra tranſiens, tranſit quoque
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1. huius.</
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per reliquum polum, eſtq́; </
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ter duos polos eiuſdem circu-
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li ſemicirculus circuli maximi
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interpoſitus; </
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<
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ter polus. </
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igitur circulus maximus D B, per E. </
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mutuo tangant, &</
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lorum in ſphęrica ſuperficie deſc@iptorum tangat,
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tanget & </
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gat circulum A C, in A. </
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tangere quoque alterum circulum ipſi A C,
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æqualem, & </
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circuli A C: </
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deſcribatur D A: </
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culi A C, & </
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<
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ſibit per polos quoque circuli A B. </
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<
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pto autem E, reliquo polo circuli A C, du-
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catur recta D E, quæ per centrum ſphæræ
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tranſibit, atque adeo ſphæræ diameter erit.</
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