Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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sinus reſpectu sinus totius 100000. </
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<
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xml:space
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">& </
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<
s
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xml:space
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">quidem multò exquisitiores, quàm si sinus
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ſupputentur reſpectu sinus totius 10000000. </
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<
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<
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xml:space
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">ex singulis duæ figuræ abijciantur.
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</
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<
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">Quòd si sinubus reſpectu sinus totius 100000. </
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<
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">inuentis adijciantur tres cifræ, fient
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sinus reſpectu sinus totius 100000000. </
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<
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<
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duabus li-
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neis rectis
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reſpectu ali
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cuius men-
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ſuræ, dein-
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de vero v-
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na earum
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reſpectu al
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terius men
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ſuræ cogni
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ta, quo pa-
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cto alterare
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ſpectu hu-
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ius alteri
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mẽſurę co.
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gnoſcatur.
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Id qd Aſtro
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nomis eſt
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familiatiſ-
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ſimum.</
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">_E X_ his patet ratio illius operationis, qua frequenter & </
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">in mea Gnomonica, & </
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alijs in locis vſus ſum; </
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<
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">cum duabus lineis cognitis reſpectu alicuius lineæ rectæ, tan-
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quam sinus totius, deinde vero vna earum iterum cognita reſpectu alterius lineæ
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rectæ maioris vel minoris veluti sinus totius, vel reſpectu alterius cuiuſpiam menſu-
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ræ, alteram reſpectu huius alterius sinus totius, vel reſpectu alterius huius menſuræ
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inueſtigo. </
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gratia; </
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<
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xml:space
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">cum duabus lineis rectis A, B, co-
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gnitis reſpectu lineæ rectæ C, tanquã sinus
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totius cõ tinentis particulas 100000. </
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<
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quidem A, partium 91354. </
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B, partium 40673. </
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<
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">Deinde vero recta A,
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reſpectu alterius lineæ maioris D, veluti
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sinus totius cõplectentis quoque particulas
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100000. </
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<
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xml:space
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80901. </
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<
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E. </
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ſuræ F, quæ plures palmos, nempe quinque, cõtineat, inquiro, quot partes, aut palmos
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linea B, contineat reſpectu poſterioris sinus totius, aut reſpectu dictæ illius menſuræ
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E, vel F. </
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">Quod quidem expedio per regulam proportionum hoc modo. </
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91354. </
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r@m 4. </
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B, partium 36019. </
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<
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<
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">paulo amplius, vel palmorũ 1 {35669/45677}. </
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ratio à ſuperiori non differt, cum recta A, ad rectam B, habeat ſemper vnam & </
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<
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dem, determinatamq́; </
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<
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<
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per ſingula Quadrantis Minuta extenſa, & à Ioan. Regio-
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montano quondam ſupputata, nunc autem per me
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examinata, & pleriſque in locis caſtigata,
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atque correcta.</
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