Delfino, Federico
,
De fluxu et refluxu aquae maris
,
1559
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& alia contenta, quæ faciunt ad inuentionem locorum uero
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rum planetarum: quia, addito tali arcu inuento, cum ara tua
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propoſita ſuper radices auguum planetarum fundatas ad prin
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cipium tuæ aræ poſitæ; habebis cum æquatione motum octa
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uæ ſphæræ, ſicut dicta loca auguum ad tempus tuæ aræ propoſi
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tæ, & cetera continentur: & ideo in principio tabulæ radicum
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auguum, & ſtellarum fixarum, ideſt nonæ ſphæræ apponun
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tur, cum unæ non ſint, ideſt cum non ſint aliquæ aræ poſitæ, &
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ſine eis motus earum poſſit inueniri, quia inuenimus quan
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tum motum facit nona ſphæra ab initio uniuſcuiuſque aræ uſ
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que ad tempus propoſitum poſt principium illius aræ: & ex
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conſequenti quantum motum fecerunt auges, & ſtellæ fixæ
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per motum nonæ ſphæræ, qui motus additus ſuper radices au
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guum in initio illius aræ ſimul cum æquatione motus octauæ
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ſphæræ: ſi motus octauæ ſphæræ eſt minus ſemicirculo, uel ab
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eo ſubtractæ prius æquatione motus octauæ ſphæræ eſt plus
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ſemicirculo ab æra loca auguum ad tempus poſitum computa
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tum ab initio illius aræ: & non eſt neceſſitas habendi radicem
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aliquam, nec eſt neceſſitas ſciendi quantum diſtat caput arie
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tis nonæ ſphæræ à capite arietis decimæ, ſeu primi mobilis,
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& hoc uadit ad tale ſignum. </
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>Tertius autem motus octauæ ſphæræ eſt ſibi proprius, quia
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motus trepidationis, ſeu acceſſus, & receſſus octauæ ſphæ
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ræ uocatur, qui fit in circumferentiis duorum circulo
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rum paruorum æqualium deſcriptorum in concauitate no
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næ ſphæræ ſuper principia arietis, & libræ ipſius nonæ ſphæ
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ræ, ſic quod duo puncta certa, & determinata ecliptica octa
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uæ ſphæræ, quæ capita arietis, & libræ octauæ ſphæræ di
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cuntur diametraliter oppoſita, circumferentias talium
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circulorum in concauitate nonæ ſphæræ regulariter deſcri
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bantur, quorum media ſeu poli, ſeu centra ſint ipſa capita
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arietis, & libræ nonæ ſphæræ, & arcus eclipticæ nonæ ſphæ
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ræ inter polos, ſeu centra horum paruorum circulorum, &
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circumferentias ſuas. </
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>eſt IX grad. eclipticæ nonæ ſphæræ: unde
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fit, ut ecliptica octauæ ſphæræ quaſi ſemper ſecet eclipticam </
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