| Great Britain. Parliament. House of Commons - 1861
...of a circle, which Khali contain an angle equal to a given rectilineal angle. 3. Similar triangles **are to one another in the duplicate ratio of their homologous sides.** 4. Investigate a rule for finding the greatest common measure of two algebraical expressions. 5. Reduce... | |
| University of St. Andrews - 1891
...at the centres of equal circles from the ratio of the arcs on which they stand. 6. Similar triangles **are to one another in the duplicate ratio of their homologous sides.** To construct a triangle similar to a given triangle and equal to half of it. 7. If two straight lines... | |
| Great Britain. Committee on Education - 1851
...The sides about the equal angles of equiangular triangles are proper" tionals. 2. Similar triangles **are to one another in the duplicate ratio of their homologous sides.** 3- The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal... | |
| Edinburgh Mathematical Society - 1900
...the square on the mean, the three straight lines are proportional. EUCLID VI. 19. Similar triangles **are to one another in the duplicate ratio of their homologous sides.** Let ABC, DEFbetwu similar triangles, having the angles at В, С equal to the angles at E, F respectively... | |
| Sir Norman Lockyer - 1886
...only— the proof which he judiciously gives of the fundamental proposition that " similar triangles **are to one another in the duplicate ratio of their homologous sides** " depends directly on the ist Proposition only of the Sixth Book, instead of the chain being carried... | |
| University of Cambridge - 1844
...from (E), and u the distance of E' from E. FRIDAY, January 5, 18-14. 9. ..Hi. 1. SIMILAR triangles **are to one another in the duplicate ratio of their homologous sides.** 2. Every solid angle is contained by plane angles which are together less than four right angles. 3.... | |
| University of Cambridge - 1830
...intensity. SATURDAY MoRNING .... 9 to 11. First, Second, TJiird and Fourth Classes. 1. SIMILAR triangles **are to one another in the duplicate ratio of their homologous sides.** t 2. If two straight lines meeting one another, be parallel to two straight lines which meet one another,... | |
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