The versed sine, or deflection of the middle of the catenary, was 50 feet.
This decimal is the versed sine of the arc of 3°15', or of 3.25°.
The measure of this deflection; the versed sine of the angle.
The answer is, this measure or amount is the versed sine of the angle through which the body moves.
The direction is toward the center, and the measure is the versed sine of the angle.
If closer accuracy is demanded, we can attain it, by taking the versed sine for 1°, and multiplying this by 6².