Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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ſitus, & </
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<
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tus, erit quæſitus quoque angulus acutus; </
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<
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">ſi vero obtuſus, obtuſus: </
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">At ſi ar-
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cus angulo recto oppoſitus fuerit maior quadrante; </
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<
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ſit acutus, erit quæſitus angulus obtuſus; </
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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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">EX vtroque porro angulo non recto, quorum vnus datus eſt, & </
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<
s
xml:id
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uentus, inuenientur reliqui duo arcus, vt in problemate 4. </
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<
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<
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<
s
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xml:space
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">FIAT, vt ſinus totus ad ſinum complementi arcus dati, ita ſecans dati
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<
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position
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xml:space
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poſ. 56. tri-
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ang. ſphær.</
note
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anguliad aliud, reperieturq́; </
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<
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xml:space
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qui quæritur. </
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<
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<
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arcus recto
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angulo op-
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poſitus. De-
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inde duo
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anguli non
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recti.</
note
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<
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ctangulo circa angulum rectum, reperire ter
<
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tium arcum angulo recto oppoſitũ, & duos
<
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angulos non rectos.</
head
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<
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<
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<
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<
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position
="
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xlink:label
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xlink:href
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xml:space
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">Probl. pro-
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poſ. 43. tri-
<
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ang. ſphær.</
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>
ita ſinus complementi alterius arcus dati ad aliud, produceturq́; </
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>
<
s
xml:id
="
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xml:space
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">ſinus com-
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plementi arcus recto angulo oppoſiti. </
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<
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xml:id
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xml:space
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">Hic autem arcus quadrante erit mi-
<
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nor, ſi vterque arcus circa rectum angulum datus fuerit minor, aut maior qua
<
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drante; </
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>
<
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xml:id
="
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xml:space
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">quadrante vero maior, ſi vnus datorum arcuum fuerit quadrante mi-
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nor, & </
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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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">alterutro arcuum
<
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circa angulum rectum datorum, inuenietur angulus ei oppoſitus, vt in pro-
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blemate 1. </
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<
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<
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<
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arcus circa
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angulũ re-
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ctum. Dein
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de duo an-
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guli non re
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cti.</
note
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</
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">8. DATO arcu in triangulo rectangulo, qui
<
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recto angulo opponitur, cum alterutro ar
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cuum circa angulũ rectum, inquirere alium
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arcum circa rectum angulum, & duos angu-
<
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los non rectos.</
head
>
<
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<
s
xml:id
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xml:space
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">FIAT, vt ſinus complementi arcus dati circa angulum rectum ad ſinum
<
lb
/>
<
note
position
="
right
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xlink:label
="
note-507-05
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xlink:href
="
note-507-05a
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xml:space
="
preserve
">Probl. pro-
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poſ. 43. tri-
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ang. ſphær.</
note
>
complementi arcus recto angulo oppoſiti, ita ſinus totus ad aliud, gigneturq́;
<
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/>
</
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<
s
xml:id
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xml:space
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">ſinus complementi alterius arcus circa rectum angulum, qui quæritur. </
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>
<
s
xml:id
="
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xml:space
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">Hic au
<
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tem arcus erit quadrante minor, ſi vterque arcus datus minor quadrante fue-
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rit, aut maior; </
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<
s
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">maior vero, ſi alter datorum arcuum fuerit quadrante minor,
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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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">INVENTO autem arcu rectum angulum ſubtendente, reperientur an-
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guli, vt in præcedenti problemate dictum eſt.</
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<
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xml:space
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head
>
<
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position
="
right
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xml:space
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">Probl. pro-
<
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poſ. 53. tri-
<
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ang. ſphær.</
note
>
<
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<
s
xml:id
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xml:space
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">FIAT, vt ſinus totus ad ſinum complementi dati arcus circa angulum </
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