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A note on the focal relations of a bicircular quartic

Published online by Cambridge University Press:  20 January 2009

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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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1900