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A method is presented for the analysis of a class of symmetrical thin-plate triangular antennas. The antenna current distribution is obtained by solving the two-potential equation by means of the point-matching method with a polynomial approximation for the current distribution. The edge effect is taken into account by introducing line currents at the edges. To obtain an accurate and stable solution, point-matching equations and conditions for currents at the discontinuities are used to form an overdetermined system of complex linear equations which is then solved in the least-squares sense. Theoretical and experimental results are presented, showing good agreement and illustrating the antenna properties.