 | William Neville Rose - Mathematics - 1928 - 552 pages
...the equal angles of triangles which are equiangular to one another are proportionals. Euc. VI. 19. Similar triangles are to one another in the duplicate ratio of their homologous (ie, corresponding) sides. Euc. VI. 20. Similar polygons have to one another the duplicate ratio of... | |
 | Euclid - Geometry - 1933 - 328 pages
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 | Great Britain. Scottish Education Dept - 1896 - 642 pages
...of similar triangles, having the same ratio to one another that the polygons have ; and the polygons are to one another in the duplicate ratio of their homologous sides. Describe a polygon which shall be similar to a given polygon, but shall have half its area. 8. Draw... | |
 | Education - 1852 - 576 pages
...circle. 8. It is required to describe a square that shall be equal to a given rectilineal figure. 9. Similar triangles are to one another in the duplicate ratio of their homologous sides. 12. — EXAMINATION PAPER in Mensuration and the Rudiments of Mechanics. April mh, 1852. TIME : ONE... | |
 | University of Durham - 1879 - 158 pages
...eight times either angle at the base. 6. Define similar triangles, duplicate ratio : — Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. 8. Define a conic section, the tangent to a conic section : — If S be the focus, P any point on the... | |
 | Euclid - 2001 - 420 pages
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SIMILAR triangles are to one another in the duplicate ratio of their homologous sides. 
