on the contrary reclines from its former position gr. 47. and inclineth towards the opposite part, so that to restore the same inclination of the said Pole A towards the Sun, it would be requisite by turning round the Terrestrial Globe, according to the circumference ACBD, to transport it towards E those same gr. 47. and for so many degrees, any whatsoever fixed star observed in the Meridian, would appear to be elevated, or inclined. Let us come now to the explanation of that which remains, and let us consider the Earth placed in the fourth Figure, that is, with its centre in the first point of Libra; upon which the Sun will appear in the beginning of Aries. And because the Axis of the Earth, which in the first Figure is supposed to be inclined upon the diameter Capricorn Cancer, and therefore to be in that same plane, which cutting the plane of the grand Orb, according to the line Capricorn Cancer, was erected perpendicularly upon the same, transposed into the fourth Figure, and maintained, as hath alwayes been said, parallel to it self, it shall come to be in a plane in like manner erected to the superficies of the Grand Orbe, and parallel to the plane, which at right angles cuts the same superficies, according to the diameter Capricorn Cancer. And therefore the line which goeth from the centre of the Sunne to the centre of the Earth, that is, O Libra, shall be perpendicular to the Axis BA: but the same line which goeth from the centre of the Sunne to the centre of the Earth, is also alwayes perpendicular to thecircle
Page:Mathematical collections and translations, in two tomes - Salusbury (1661).djvu/386
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Dialogue. III.
359
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