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 96
he orthocentre of the triangle : shew that thi«joining line is bisected by the pedal of the point P. THE TRIANGLE AND ITS CIRCLES. 213 THE TRIANGLE AND ITS CIRCLES. VI. D, E, F are the points of contact of the inscribed circle of thetriangle ABC, and D^, Ej, Fj the points of contact of the escribed… … Prove the following equalities: (i) AE =AF =s-a,BD =BF =s-6,CD =CE =s-c. (ii) AEi=AFi=s. (iii) CDi = CEi = s-6,BDi = BFi=s-c. (iv) CD =BDi, and BD = CDj. (V) EEj = FFj = a. (vi) The area of the A ABC = ra = r^{s-a). (vii) Draw the above figure in the case when C is a right angle, andprove that r =…
Geometry
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