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(these are the few question left in my homework that I can't find in the book, or google!) The fact that Mercury and Venus are never seen high in the sky at night a. was explained by a general rule for all planets in the Copernican theory, but required a special exception in the Ptolemaic...

cos(alpha) = -1/3 in the 2Q sin(beta)= -1/4 in the 3Q