...isosceles. 9. Find the area of a triangle in terms of the sides. 10. Find the radius of the circle which touches one side of a triangle and the two other sides produced. If ABC and DEF be two triangles with the same perimeter, prove that the radius of the escribed circle...

...|a. 9. Find the area of a triangle in terms of the sides. 10. Find the radius of the circle which, touches one side of a triangle and the two other sides produced. If ABO and DEF be two triangles with the same perimeter, prove that the radius of the escribed circle...

...36. A is one of the points of intersection of two circles, of which the one passes through a point B, the other through a point C. Through A a line is drawn,...the tangent touching the circle at A makes with BC1 39. Three small triangles are cut off from a triangle by tangents to its inscribed circle. Shew that...

...isosceles. 9. Find the area of a triangle in terms of the sides. 10. Find the radius of the circle which touches one side of a triangle and the two other sides produced. If ABC and DEF be two triangles with the same perimeter, prove that the radius of the escribed circle...

...circles which cut or touch, or of a nest of concentric circles, or of the three circles each of which touches one side of a triangle and the two other sides " produced." Yet each of the geometer's many circles is an exact, and not, like the visible round figure, a merely...