Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-09T06:13:58.737Z Has data issue: false hasContentIssue false

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.

Type
Research Article
Copyright
Copyright © Mathematical Association 1908

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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