Text-book of Euclid's elements for the use of schools : books I - VI and XI (1900)
Hall, H. S. (Henry Sinclair), 1848-1934, Stevens, F. H. (Frederick Haller), 1853-1933 · MacMillan : London · leaf 317
298 EUCLIDS ELEMENTS. 2. In the triangle ABC, I is the centre of the Inscribed circle, andJi, l2, l3 the centres of the. escribed circles touching respectively the sidesBC, CA, AB and the other sides produced. … Prove the following properties : (i) The points A, I, \x are collinear: so are B, I, l2; and C, I, Ig.(ii) The points l2, A, l3 are collinear; so are l3, B, lj; andJi> C, l2- (iii) The triangles BIjC, CI2A, AI3B are equiangidar to oneanother. (iv) The triangle IJJg is equiangidar to the triangle…
Geometry · Mathematics
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