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USE OF THE TABLE OF THE DIMENSIONS OF THECATENARY.

In order to make the calculation ofthe different parts of the catenary as easyas possible, the following table has beencarefully constructed, making the ten-sion at the vertex = 1. And, in order toillustrate its application, we shall, by its as-sistance, show how to solve the followingcases. -M

CASE I.

When the angle at the point of sus-pension, and the tension at the vertex,are given, look in the column marked <p ofthe table, and take out x, y, z and t, stand-ing opposite to <? in their respective co-lumns. Then multiply each of them bythe given tension c at the vertex, and theresults will be, respectively, the absciss, or-dinate, semi-curve, and tension at the pointof suspension, of the proposed catenary.