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The Distance of a given Point from a given Line

Published online by Cambridge University Press:  31 October 2008

R. J. T. Bell
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If P (x′, y′) is the given point and ax + by + c = 0 the equation of the given line, the expression for the distance of P from the line and the coordinates of the foot of the perpendicular from P to the line can be obtained by projections as follows:

Let NP = R and have projections X and Y on OX and OY respectively. Then if NP makes an angle θ with OX

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Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 18 , May 1915 , pp. 206 - 207
Copyright
Copyright © Edinburgh Mathematical Society 1915