The naval architect's and shipbuilder's pocket-book of formulae, rules, and tables and marine engineer's and surveyor's handy book of reference (1884)
Mackrow, Clement · London, C. Lockwood and co. · leaf 467
chain be freely suspended from two points, A and B,the curve in which it will hang istermed a common catenary; theparameter oc is equal to the lengthof a piece of the chain whoseweight is equal to the tension atthe lowest point c in the curve. The directrix ox is a horizontalline drawn through the… … JEJquatio/is to the Catenary (see fig. 179). a? = abscissa. y = ordinate. c = tension at c. s = length cp of chain. CcMtesian. Approximate Equation.x^ = 2ciy-c)-^iy-cy CATENARY. 459 FormulcB for the Catena/)y when the points of support a/ie in tliesame horizontal plane (see fig. 180). S =span. h =…