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Aristarchus of Samos -
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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.
Aristarchus of Samos
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The
distance
of the sun from the earth is greater than eighteen times, but less than twenty times, the
distance
of the moon from the earth.
Proposition 7
Aristarchus of Samos
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The diameter of the moon is less than 2/45ths, but greater than 1/30th of the
distance
of the centre of the moon from our eye.
Proposition 11
Aristarchus of Samos
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We are now in a position to prove the following propositions:
1. The
distance
of the sun from the earth is greater than eighteen times, but less than twenty times, the
distance
of the moon (from the earth); this follows from the hypothesis about the halved moon.
2. The diameter of the sun has the same ratio (as aforesaid) to the diameter of the moon.
3. The diameter of the sun has to the diameter of the earth a ratio greater than that which 19 has to 3, but less than that which 43 has to 6; this follows from the ratio thus discovered between the
distances
, the hypothesis about the shadow, and the hypothesis that the moon subtends one fifteenth part of a sign of the zodiac.
Aristarchus of Samos
Quote of the day
Only the other world has substance and reality; only good deeds and holy learning have tangible worth.
Abraham Cahan
Aristarchus of Samos
Creative Commons
Born:
310 BC
Died:
230 BC
(aged 80)
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