Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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coroll. </
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<
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<
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<
s
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xml:space
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">ex ſinu recto cuiuſuis arcus noto cognoſcitur quoque ſinus
<
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rectus dimidij illius arous; </
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<
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<
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<
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grad. </
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<
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<
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<
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<
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<
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<
s
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xml:space
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">qui arcus amplius
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bifariam ſecari non poteſt ſine Secundis, (continet enim eius medietas grad. </
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<
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</
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xlink:label
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xml:space
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ſinuum ac-
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cuum gta-
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dibus 3.
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Min. 45. ſe-
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ſe ſupetan-
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tium.</
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Min. </
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<
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<
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xml:space
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poſ. </
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<
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<
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xml:space
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">ex ſinu recto cuiuſlibet arcus cognito notus quoque efficitur ſinus
<
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complementi illius arcus, cognoſcemus ex ſinu arcus grad. </
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<
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<
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<
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<
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num arcus grad. </
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<
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<
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xml:space
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cus grad. </
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<
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<
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<
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<
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<
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<
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</
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<
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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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<
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grad. </
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<
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<
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<
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">15. </
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<
s
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xml:space
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">Quòd ſi alij arcus, quorum ſinus in uenti funt, bifariam quo
<
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que fecentur, & </
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>
<
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xml:id
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xml:space
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">eorum medietates rurſus bifariam, & </
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<
s
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">ita deinceps, donec ad
<
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Minuta numero imparia, quæ amplius bifariã diuidi ſine Secundis nequeunt,
<
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peruentum ſit; </
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<
s
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xml:space
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">Itemque harum medietatum complementa accipiantur, quæ
<
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rurſus, eodem modo continue bifariam ſecẽtur, donec ad Minuta numero im-
<
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paria ſit peruentum; </
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<
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<
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<
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mus, per coroll. </
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<
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<
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<
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<
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tum, & </
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<
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<
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ſinus 24. </
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<
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<
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<
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bula vides.</
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<
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## Arcus # Sinus # ## Arcus # Sinus # ## Arcus # Sinus # ## Arcus # Sinus
<
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/>
G # M # # G # M # # G # M # # G # M
<
lb
/>
3 # 45 # 654031 # 26 # 15 # 4422887 # 48 # 45 # 7518398 # 71 # 15 # 9469301
<
lb
/>
7 # 30 # 1305262 # 30 # 0 # 5000000 # 52 # 30 # 7933533 # 75 # 0 # 9659258
<
lb
/>
11 # 15 # 1950903 # 33 # 45 # 5555702 # 56 # 15 # 8314696 # 78 # 45 # 9807853
<
lb
/>
15 # 0 # 2588190 # 37 # 30 # 6087614 # 60 # 0 # 8660254 # 82 # 30 # 9914449
<
lb
/>
18 # 45 # 3214395 # 41 # 15 # 6593458 # 63 # 45 # 8968727 # 86 # 15 # 9978589
<
lb
/>
22 # 30 # 3826834 # 45 # 0 # 7071068 # 67 # 30 # 9238795 # 90 # 0 # 10000000
<
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</
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<
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<
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<
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<
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<
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xlink:label
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ſinus arcus
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grad. 36.</
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tagoniæquilateri in eodem circulo demon ſtrauimus, inquiremus ſinum arcus
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grad. </
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<
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<
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<
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DF, eſſe latus Decagoni, & </
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<
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">BF, latus
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<
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number
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130
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<
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133-01
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xlink:href
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Pentagoni ęquilateri. </
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<
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drata rectarum BD, DE, notarum (Eſt
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enim BD, ſinus totus, & </
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<
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dietas.) </
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<
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<
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">æqualia quadrato
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<
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">47. primi.</
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rectæ EB; </
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<
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">notum erit quadratum rectæ
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EB; </
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<
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">ac propterea & </
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>
<
s
xml:id
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xml:space
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">ipſa recta EB, hoc
<
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eſt, recta EF, illi æqualis, nota erit, nem
<
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pe partium fere 11180339. </
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>
<
s
xml:id
="
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xml:space
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">Ex qua ſi
<
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/>
detrahatur recta ED, medietas ſinus to
<
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tius partiũ 5000000. </
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>
<
s
xml:id
="
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xml:space
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">nota fiet recta DF,
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partium 6180339. </
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<
s
xml:id
="
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xml:space
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">cuius quadratum ſi addatur quadrato ſinus totius BD, no
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tum fiet aggregatum quadratorum ex rectis DF, BD, deſcriptorum; </
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