et two fixed lines in B and C, D and E. If circles be describedabout the tiiangles ABU, ACE, show that they intersect at a con-stant angle. 13. Two circles BPQ, CPQ are tangential to two fixed lines AB,AC at the fixed points B and C. Show that, as the circles vary, ifP be on tlie circumference of a… … Let ABC be the given circle, and DEF the given A.It is required to inscribe in the circle ABC a A equi-angular to DEF. Draw a tangent to the circle at any point A. Draw a chord AB, making Z.GAB= i.F, and a chord AC, making Z.HAC=ZE. Join BC. Then the A ABC is equiangular to A DEF. For ^F= 1GAB= Z.C…
Geometry · Geometry, Plane
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