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THe Line drawn from the Center of a Circle to the Point where a streight Line toucheth the same, is Perpendicular to the same Line.
If there be drawn the Line CD, from the Center C, to the Point of touching D: CD shall be Perpendicular to AB. For if it be not; draw BC Perpendicular to AB.
Demonstration. Since we would have it that the Line CB be Perpen∣dicular; the Angle B shall be Right, and CDB Acute, (by the 32d of the 1st.) Thence the Line CB, opposite
to the lesser Angle, shall be lesser than CD; which is impossible, seeing CF is equal to CD.