Let points , , and be marked off some fixed distance along each of the sides , , and .
Then the lines , , and concur in a point known as the first Yff point if
(1) |
(2) |
(3) | |||
(4) | |||
(5) |
(6) |
(7) |
(8) |
(9) |
Yff (1963) gives a number of other interesting properties. The line is Perpendicular to the line containing
the Incenter and Circumcenter , and its length is given by
(10) |
See also Brocard Points, Yff Triangles
References
Yff, P. ``An Analog of the Brocard Points.'' Amer. Math. Monthly 70, 495-501, 1963.
© 1996-9 Eric W. Weisstein