422. [K. 1. a.] Three collinear points are at distances a1, a2, a3 from one another and r1, r2, r3 from a fourth point distant p from their line; prove that Σa = 0, Σar2 + IIa = 0, p2IIa2=4sII(s- ar),where 2s = Σar

R. W. H. T. Hudson

doi:10.2307/3603454

422. [K. 1. a.] Three collinear points are at distances a1, a2, a3 from one another and r1, r2, r3 from a fourth point distant p from their line; prove that Σa = 0, Σar2 + IIa = 0, p2IIa2=4sII(s- ar),where 2s = Σar

Published online by Cambridge University Press: 03 November 2016

R. W. H. T. Hudson

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Type: Solutions
Information: The Mathematical Gazette , Volume 3 , Issue 45 , May 1904 , pp. 44

DOI: https://doi.org/10.2307/3603454 [Opens in a new window]

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422. [K. 1. a.] Three collinear points are at distances a1, a2, a3 from one another and r1, r2, r3 from a fourth point distant p from their line; prove that Σa = 0, Σar2 + IIa = 0, p2IIa2=4sII(s- ar),where 2s = Σar

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