139

CASE VI.

When f and y are the two given quan-tities.

With the given quantity <p and anyassumed tension at the vertex, constructthe catenary CGF as in Case II. On itsdirectrix lay off EK equal to the givenquantity y, and through K, parallel to theaxis CD, draw the indefinite straight lineKR : then through C and G draw CGMcutting KR in M, and through M drawthe ordinate ML ; then construct the figureCPM similar to CNG as in Case IV., andit will be the catenary required.

26. Problem,tenary.

To find the area of a ca-