Proposition 14. The straight line joined from the centre of the earth to the centre of the moon has to the straight line cut off from the axis toward… - Aristarchus of Samos
" "Proposition 14. The straight line joined from the centre of the earth to the centre of the moon has to the straight line cut off from the axis towards the centre of the moon by the straight line subtending the (circumference) within the earth's shadow a ratio greater than that which 675 has to 1.
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About Aristarchus of Samos
Aristarchus of Samos (c. 310 – c. 230 BC) was an ancient Greek astronomer and mathematician who devised the first known model envisioning the Earth in motion, orbiting around the Sun, or "central fire," at the center of the universe. He was influenced by Philolaus, and argued, like Anaxagoras before him, that the stars were entities similar to the sun. His astronomical ideas were in large rejected in favor the prevailing geocentric models of Aristotle and Ptolemy, until De revolutionibus orbium coelestium was published in 1543 by Copernicus, who was influenced by the work of Aristarchus through a close reading of Greek and Latin authors. The only known extant work by Aristarchus is "On the Dimensions and Distances of the Sun and Moon" which does not discuss his thesis on heliocentrism.
Also Known As
Native Name:
Ἀρίσταρχος ὁ Σάμιος
•
Αρίσταρχος ο Σάμιος
Alternative Names:
Aristarchos of Samos
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Additional quotes by Aristarchus of Samos
[Hypotheses]
1. That the Moon receives its light from the sun.
2. That the earth is in the relation of a point and centre to the sphere in which the moon moves.
3. That, when the moon appears to us halved, the great circle which divides the dark and the bright portions of the moon is in the direction of our eye.
4. That, when the moon appears to us halved, its distance from the sun is then less than a quadrant by one-thirtieth of a quadrant.
5. That the breadth of the (earth's) shadow is (that) of two moons.
6. That the moon subtends one fifteenth part of a sign of the zodiac.
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Proposition 1. Two equal spheres are comprehended by one and the same cylinder, and two unequal spheres by one and the same cone which has its vertex in the direction of the lesser sphere; and the straight line drawn through the centres of the spheres is at right angles to each of the circles in which the surface of the cylinder, or of the cone, touches the spheres.
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