A school geometry. containing the substance of Euclid books II anfd III and part of book IV (1917)
Hall, H. S. (Henry Sinclair), 1848-1934, Stevens, F. H. (Frederick Haller), 1852-1933 · London : Macmillan · leaf 78
O DEF is inscribed in the A ABC. Note. From II., p. 96 it is seen that if Al is joined, then Al bisectsthe angle BAC : hence it follows that The bisectors of the angles of a triangle are concurrent, the point ofintersection being the centre of the inscribed circle. Definition. A circle which… … Let ABC be the given triangle of which the sides AB, AC areproduced to D and E. It is required to describe a circle touching BC, and AB, ACproduced. Construction. Bisect the ^CBD, BCE by the st. lines Blj,Clj which intersect at 1^. Then 1^ is the centre of the required circle.Proof. From 1^ draw…
Geometry
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