On the nomographic chart of three complex variables in the line coordinates

Yakichi Shimokawa

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An algebraic addition-theorem for Weierstrass' elliptic function and nomograms

Akira Matsuda (1979)

Aplikace matematiky

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A dual transformation is discussed, by which a concurrent chart represented by one equation is transformed into an alignment chart or into a tangential contact chart. Using this transformation an alignment chart where three scales coincide and a tangential contact chart consisting of a family of circles, which represent the relation $u + v + w = 0$ , are constructed. In this case, a form of the addition-theorem for Weierstrass’ function involving no derivative is used.