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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 101

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s of the circum^circle. fSee also p. 267, Examples 2 and 3. ] q. e. d. 218 GEOMETRY. (iii) To prove that the centroid is collinear with points S, N, O. Join AX and draw ag par^ to SO.Let AX meet SO at G. Then from the A AGO, since Aa = aO,and a(j is par^ to OG, .-. Ag = gG. Ex. 1, p. 64. And from… … EXERCISES. 1. Given the base and vertical angle of a triangle, find the locus of thecentre of the nine-points circle. 2. The nine-points circle of any triangle ABC, whose orthocentre isO, is also the nine-points circle of each of the triangles AOB, BOO,COA. 3. If I, Ij, I.,, I3 are the centres of…

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