Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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coll. </
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<
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">erit minus ſegmentum DF, latus Decagoni in eo-
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dem circulo, vt ad propoſ. </
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<
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<
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xml:space
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quadrato lateris Hexagoni BD, vna cum quadrato lateris Decagoni DF,
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dec.</
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æquale eſt quadratum lateris Pentagoni in eodem circulo: </
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quadratis rectarum BD, DF, æquale quadratum rectæ BF; </
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lateris Pentagoni æquale quadrato rectæ BF; </
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Pentagoni æqualis. </
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@odemq́ue circulo inueſtigauimus. </
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<
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ctocuiuſuis
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arcus quo
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pacto ſinus
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com plemé
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ti eiuſdem
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arcus, & ex
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chorda cu-
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iuſuis ar -
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cus qua ra-
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tione chor-
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da reliqui
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arcus ſemi-
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circuli co-
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gnoſcatur.
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47. primi.</
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noris cognito, ſinum complementi eiuſdem ar-
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cus; </
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ris, chordam rehqui arcus ſemicircuh cognoſcere.</
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<
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">SIT primo cognitus ſinus rectus DE, arcus BD, cuius arcus complemen
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ti ſinus ſit DF, quem cognoſcere debemus. </
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<
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">Ducta recta DA, erit quadratum
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rectæ DA, æquale quadratis rectarum DE, EA. </
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totius DA, noti (Ponitur enim ſinus totus particularum certo numero com-
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prehenſarum) detrahatur
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123-01
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quadratũ ſinus recti DE,
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cogniti in partibus ſinus
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totius DA, relinquetur
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quadratum rectæ EA, no
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tum; </
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<
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cem quadratam recta EA,
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in eiſdem partibus nota
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erit. </
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æqualis ſit ſinui comple-
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menti arcus BD, hoc eſt,
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rectæ DF, cognitus erit
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DF, ſinus complementi arcus BD, cuius ſinus rectus DE, notus eſt poſitus.</
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">chorda BC, ſubtendens re-
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liquum arcum BC, ſemicirculi, quam iubemur inueſtigare. </
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B, rectus eſt in ſemicirculo, erit quadratum diametri AC, æquale quadratis
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chordarum AB, BC. </
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diameter diuiſa in particulas certo numero comprehenſas) dematur quadra-
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tum chordæ AB, notæ in partibus diametri AC, notum relinquetur quadra-
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tum chordæ BC; </
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<
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partibus nota efficietur. </
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<
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</
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<
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ſus cogno-
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ſcitur ex co
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gnito ſinu
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recto,.</
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<
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<
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