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A Case of Three Rotating Lines and the Point “O.” (Continued.)

Published online by Cambridge University Press:  03 November 2016

F Glanville Taylor
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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.

Type
Research Article
Information
The Mathematical Gazette , Volume 7 , Issue 102 , January 1913 , pp. 4 - 6
Copyright
Copyright © Mathematical Association 1908

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References

* This statement, like that of Art. 7, is true for the point O in the general case.