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A Case of Three Rotating Lines and the Point “O.” (Continued.)
Published online by Cambridge University Press: 03 November 2016
Extract
15. Let X1, Y1, Z1 be the second points in which AH, BH, CH meet the circle GH
Then GX1 ┴ HX, and hence ║ BC,
X1X =⅓AX;
tan PX1X= 3 tan PAX = 3 tan θ,
i.e. -PX1 X= ø.
But OX1H = OGH= ø; 0X1P is a straight line.
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References
* This statement, like that of Art. 7, is true for the point O in the general case.