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This paper consists of two parts. The first part is tutorial and describes at an elementary level one of the contributions made by Darlington. This is the design theory of electrically symmetrical reactive (lossless) networks with particular attention to filters which exhibit Tchebycheff type performance in the pass and stop bands. The second part of the paper is the presentation, in "handbook" style, of step-by-step procedures to be followed in the design of filters of the above type. Emphasis is placed on the use of rapidly converging series in the computations in place of elliptic function tables.