Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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">IAM vero ſi detur duorum laterũ quorumlibet proportio, & </
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">vnum latus,
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">Quãdo {pro}-
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portio duo
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rum laterũ
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datur, & v-
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nũlatus.</
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quodcũque illud ſit, ſumemus numeros proportionis notæ, ac ſi eſſent partes
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alicuius menſurę, in quibus duo illa latera dentur; </
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<
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<
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uimus in hac propoſ. </
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<
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">angulos inueniemus, ac tertium latus in eiſdẽ partibus.
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</
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<
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">Deinde, ſi ſiat, vt numerus illius lateris, quod datum eſt, ad ipſum latus datũ,
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ita numeri aliorum laterum ſigillatim ad aliud, reperientur alia latera in par-
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tibus menſuræ, ſecundum quam illud alterum latus eſt datum. </
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<
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tio AB, ad AC, ſit, vt 15. </
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<
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<
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<
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ſtratis, angulus A, grad. </
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">angulus C, grad. </
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<
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BC, partium 36. </
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inuentum partium 36. </
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quàm AC, partium 39. </
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<
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">ad aliud, inuenietur AB, palm. </
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Datis ergo duobus lateribus trianguli rectanguli, duos angulos acutos effeci-
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mus notos, &</
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triangulis non rectangulis. </
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ſunt, quorum nonnulla plurimum etiam triangulis ſphæricis conducent.</
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">SI diameter circuli chordam quamlibet, eiusq́;
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portionem
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habeãt duo
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ſegmenta
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cuiuſque
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chordæ.</
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arcum ſecet in duas partes; </
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chordæ eandem proportionem, quam ſinus ſeg-
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mentorum arcus reſpondentium.</
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<
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">IN circulo ABCD, diameter AC, ſecet chordam BD, in E, eiuſq́ue ar-
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cum BAD, in A, uel BCD, in C: </
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<
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AC, perpendiculares; </
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nus arcus AD, uel CD. </
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ut BF, ad DG. </
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DEG, anguli F, G, æquales ſunt, utpote recti: </
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anguli E, ad uerticem æquales; </
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triangula BEF, DEG. </
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<
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ita ED, ad DG: </
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<
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ita BF, ad DG. </
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<
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quamlibet, eiusq́; </
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<
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</
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<
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<
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<
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tionem ha
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beat chor-
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da circuli</
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partem producatur, conueniatq́; </
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