3 citations · 3 across the 10 of their papers we have counts for
10 papers
A Construction to find any Circle through a Given Point
Christopher Bradley
A construction similar to Hagge's construction for circles through the orthocentre is shown to apply for any point.
Miquel circles and Cevian lines
Christopher Bradley
Two theorems are presented concerning the Miquel point configuration, when the operative points on the sides of the triangle are the feet of Cevians,
A Singular Miquel Configuration and the Miquel Direct Similarity
Christopher Bradley
Let ABC be a triangle with P on AB, and let circle APC meet BC at Q and circle BPC meet CA at R, then the special Miquel configuration is when P, Q, R are the operative points on t…
Generalization of the Wallace-Simson line
Christopher Bradley
A Wallace-Simson line of a point J has the property that it passes through the midpoint Q of HJ, where H is the orthocentre. By allowing Q to move on the perpendicular bisector of…
On The Ten Point Wood-Desargues' Configuration
Christopher Bradley
The ten pairs of directly similar triangles in perspective in the Wood-Desargues' configuration have ten common Hagge circle centres. These centres are known to lie one each of the…
Generalizations of Hagge's Theorems
Christopher J Bradley
Two generalizations of Hagge's theorems are described. In the first we consider what happens when one moves from the orthocentre to a general point. What one loses by doing so is t…