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algebraic altitudes angle answer arcs binary number binomial theorem bisector cents circle column cut-and-try decimal Dial readers division draw ellipse engineer equal and parallel equation equilateral triangle Euclid example factor ﬁgure ﬁll ﬁlled ﬁnd ﬁnding ﬁrst digit ﬁve follows form a triangle formula four fours given gives Golden Ratio Gray code hour hand hula hoop hypotenuse Ingenious Mathematical Problems inscribed integer intersecting length Little Euclid Little Mary MATHEMATICAL NURSERY RHYME maximum number McDonnell Aircraft Corporation method minute hand moves multiple number of purchases o’clock obtained pair perfect square player position possible probability projected triangle radius ratio reﬂected binary remainder right triangle root satisﬁed sequence sides signiﬁcant similar triangles solution solved speciﬁed subtract successive sunny days surprise attack switch term ternary two-digit number values wins XMAS zero