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354; Vors. i2, p. 162. 40). forty-one Fr. forty eight (Vors. i2, p. 188. 31). forty two Aristotle, De sensu 6, 446 a 25–b 2. forty three Aristotle, De anima ii. 7. 418 b 2i. forty four Aristotle, De sensu 6, 447 a 1–3. forty five Aristotle, De anima ii. 7, 418 b 24. 178 XII THE PYTHAGOREANS IN a former bankruptcy we attempted to distinguish from the astronomical procedure of ‘the Pythagoreans’ the perspectives recommend by means of the grasp himself, and we observed explanation for believing that he used to be the 1st to offer round form to the earth and the heavenly our bodies regularly, and to assign to the planets a revolution in their personal in a feeling contrary to that of the day-by-day rotation of the sector of the mounted stars in regards to the earth as centre. yet a way more striking improvement used to be to stick with within the Pythagorean university. This used to be not anything below the abandonment of the geocentric speculation, and the aid of the earth to the prestige of a planet just like the others. Aëtius (probably at the authority of Theophrastus) attributes the ensuing approach to Philolaus, Aristotle to ‘the Pythagoreans’ Schiaparelli 1 units out the issues that may have instructed to the Pythagoreans the need of surroundings the earth itself in movement. If the right kind circulate of the sunlight, moon, and planets alongside the zodiac have been a rotation in regards to the comparable axis as that of the day-by-day rotation of the fastened stars, it will were effortless to account for the distinct hobbies of the previous heavenly our bodies through assuming for every of them a regular rotation slightly slower than that of the mounted stars; if the flow of every of them have been therefore basic, a relocating strength on the centre working with a number of levels of depth (depending 179 on distance and the numerical legislation of concord) might have served to give an explanation for every thing. yet, because the day-by-day rotation follows the airplane of the equator, and whereas unique stream of the planets follows the airplane of the ecliptic, it's transparent that, with one unmarried relocating strength positioned on the centre, it was once impossible to account for either pursuits. therefore the need of attributing the day-by-day rotation, that's it seems that universal to the mounted stars and the planets, to a movement of the earth itself. yet one more reason too might compel the Pythagoreans to prevent attributing to the solar, moon, and planets the stream compounded of the day-by-day rotation and the precise circulation alongside the zodiac. For this kind of composite flow may occur in a path and with a pace continuously changing and it can stick to that, if at a given speedy the harmonical proportions of the velocities and the distances held reliable, those proportions wouldn't carry sturdy for the subsequent speedy. for this reason it used to be essential to assign to every heavenly physique one unmarried easy and uniform flow, and this couldn't be learned other than by way of attributing to the earth that one of many part hobbies which commentary confirmed to be universal to the entire stars. even if the method attributed to Philolaus was once rather based on arguments so clinical, combining the knowledge supplied by way of observations with an antecedent precept in accordance with the character of items and on a residing spirit animating the area, has to be left an open query.

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