 | Trinity College (Dublin, Ireland) - 1916 - 554 pagina’s
...of triangles having the same altitude are to one another as their bases. 6. Prove that the areas of similar triangles are to one another in the duplicate ratio of their homologous sides. 7. Show how to construct a triangle equal in area to a given square and similar to a given triangle.... | |
 | Trinity College (Dublin, Ireland) - 1919 - 562 pagina’s
...Prove that a right-angled triangle may be divided into two triangles each similar to the whole. 7. Similar triangles are to one another in the duplicate ratio of their corresponding sides. Practical. 8. Construct a square containing 6 square inches without extracting... | |
 | William Neville Rose - 1920 - 542 pagina’s
...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... | |
 | Trinity College (Dublin, Ireland) - 1921 - 722 pagina’s
...if two triangles have their sides proportional they are equiangular. 5. Show that similar hexagons are to one another in the duplicate ratio of their homologous sides. 6. Construct a figure similar to one figure and equal in area to another. Practical. [Take as unit... | |
 | James Park - 1922 - 598 pagina’s
...problem is to determine the angles at A and B. K ZOO etc. ,L SOOOLC. 90° 90 ffff* M D HG The areas of similar triangles are to one another in the duplicate ratio of their similar sides ; hence, as shown by the construction developed by the dotted lines in fig. 58, AEK :... | |
 | William Neville Rose - 1928 - 552 pagina’s
...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 - 1933 - 328 pagina’s
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 | Great Britain. Scottish Education Dept - 1896 - 642 pagina’s
...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... | |
 | 1961 - 208 pagina’s
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 | Nicole Oresme - 1961 - 204 pagina’s
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SIMILAR triangles are to one another in the duplicate ratio of their homologous sides. 
