Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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qui arcubus quadrantis vno Minuto ſeſe ordine ſuperantibus reſpondent, in parti-
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">accuratio
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tem, quo
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maior fue-
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eit ſinus to
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tus.</
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bus sinus totius in partes _10000000_ diuisi, initio facto ab arcu 1. </
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<
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<
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ſumma cura, ac diligentia exam inauimus, & </
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<
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<
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niam propter typographorum incuriam mendis omnino non carebat. </
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<
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xml:space
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">Hanc tabulam
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emendatam infra ſubijciemus, si prius demonſtrationes ex Ioanne Regiomontano po-
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tißimum decerpt as exponamus, qu bus omnium arcuum sinus numeris exprimi poßint
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in partibus sinus totius in quotuis partes diſtributi. </
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mus quoque Ptolemæi & </
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numeris exprimantur, ex quibus rurſus facili negotio tabula sinuũ conſtrui poteſt.</
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">_ATQVE_ in primis, si in plano aliquo Quadrans tantæ magnitudinis conſtrue-
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retur, vt eius arcus commode in _90._ </
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que vtraque eius ſemidiameter, siue sinus totus, in _10000000._ </
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<
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xml:space
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">partes æquales, vel
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etiam in plures, pauciores ve diuidi poſſet, facili negotio sine vlla ſupputationis mole-
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ſtia, aut labore, omniũ ſinuũ magnitudines cognoſcerẽtur, si ex singulis arcus Minu-
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tis rectæ ad vtramque ſemidiametrũ perpendiculares ducerentur. </
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_ABC,_ si arcus _
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C,_ in Gradus, ac Minuta ſecetur; </
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">(Nos ob ſpatij anguſtias eum in
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omnes ſi-
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nus poſsint
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cognoſci in
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maximo a-
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liquo qua-
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drante, ſine
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vllo ſuppu-
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tationis la-
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bore, aut
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moleſtia.</
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nouem partes ſecuimus, vt sin
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gulæ denos complectãtur gra
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dus.) </
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meter in _10000000._ </
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las, vel in plures, pauciores ve
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diſtribuatur, atque ad vtram
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que ſemidiametrum perpendi-
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culares ducantur: </
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pendiculares ad ſemidiame-
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trum _AB,_ ductæ, sinus recti
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arcuum quadrantis à puncto
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B, incipientium; </
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<
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les ſunt portiones ſemidiame
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tri _AC,_ inter punctum _A,_ & </
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perpẽdiculares ad ſemidiame
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trum _AC,_ ductas. </
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particulas cõtinebunt hæ por
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tiones ex illis _10000000._ </
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particularũ erunt sinus recti
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arcũ quadrantis. </
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tam sinus complementorum arcuum eorundem, quàm sinus versi cognoſcentur. </
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pendiculares enim ad ſemidiametrum _AC,_ demiſſæ ſunt sinus complementorum, qui-
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bus æquales ſunt portiones ſemidiametri _AB,_ inter punctum _A,_ & </
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<
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ad ſemidiametrum _AB,_ ductas: </
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ctum _B,_ & </
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incipientium. </
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riatur, qui commode tot diuisiones recipiat, inueſtigabimus sinuum magnitudines
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per demonſtr ationes Geometricas, posito sinu to to quotcunq; </
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tibus propoſitionibus. </
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his enim cognitis & </
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@@ in vſutabulæ Sinuum exponemus.</
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