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Published online by Cambridge University Press: 20 January 2009
Let P be any point on a bicircular quartic having A, B, C for foci; so that l. PA + m. PB + n. PC = 0, where l, m, n are known. It will be shown how the fourth focus E (lying upon the circumcircle of ABC) may be found; and also the relations subsisting between any three focal distances.