Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 233
A b Given A ABC, with area T, sides a, by and c, and radius ofinscribed circle r. To prove r= ^ {a + b + c)T, Outline of Proop 1. Area of A OBC=:\ a • r; area of A OCA = i- 6 . r; areaoi AOAB = \ c-r. 2. ., T^^{a + h + c)r. q.e.d. 492. Cor. The area of any polygon circumscribedabout a circle is… … (6) In like manner, reduce the number of sides of the new-polygon GCDEF until A DHK is obtained. The construction, proof, and discussion are left as an exercisefor the student. Ex. 845. Transform a scalene triangle into an isosceles triangle. Ex. 846. Transform a trapezoid into a right triangle.…
Geometry, Plane · Geometry, Solid
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