| Edinburgh Mathematical Society - 1899
...extremes be equal to 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,** DBF be two similar triangles, having the angles at B, C equal to the angles at E, F respectively :... | |
| Great Britain. Board of Education - 1900
...point on a circle described with 0 as centre and OM as radius, then AM will bisect the angle PAQ. 9. **Similar triangles are to one another in the duplicate ratio of their homologous sides.** SCHOOL SCHOLAESHIP EXAMINATION. — June, 1899. i ALGEBRA. 1. Find the square root of the expression... | |
| Great Britain. Parliament. House of Commons - 1900
...point on a circle described with 0 as centre and OM as radius, then AM will bisect the angle PAQ. 9. **Similar triangles are to one another in the duplicate ratio of their homologous sides.** RUGBY SCHOOL SCHOLARSHIP EXAMINATION. — June, 1899. ALGEBRA. 1. Find the square root of the expression... | |
| University of Toronto - 1900
...in D and find a mean proportional AE between AD and AB ; draw EF \\ BC ; EF is the required line. 4. **Similar triangles are to one another in the duplicate ratio of their homologous sides.** 5. If three straight lines be proportionals, the ratio of the first to the third is equal to the ratio... | |
| 1900
...side of я triangle, it will cut the other sides (or the other sides produced) proportionately. 7. **Similar triangles are to one another in the duplicate ratio of their homologous sides.** ABC is a triangle right angled at A, D is the midpoint of EG, and AE. EF are drawn perpendicular to... | |
| University of Sydney - 1901
...forty seconds to one minute. 7. Triangles of the same altitude are to one another as their bases. 8. **Similar triangles are to one another in the duplicate ratio of their homologous sides.** 0. Find the diameter of a cylindrical pipe, two feet long, containing a volume of 000 cubic inches.... | |
| 1903
...the special case when AB is one side of an equilateral triangle inscribed in the circle. 8. Show that **similar triangles are to one another in the duplicate ratio of their homologous sides.** ABC is a triangle. Two circles are drawn, one to touch Alt at A and to pass through C, the other to... | |
| Samuel Bower Sinclair - 1903 - 126 pagina’s
...method of teaching the preposition is superior to the former method is as true as the statement that **"similar triangles are to one another in the duplicate ratio of their homologous sides."** And yet notwithstanding all this there are many good teachers who are vigorously opposed to all study... | |
| Euclid - 1904 - 456 pagina’s
...sh CD DC FE jular to the A FD. FE.' ewn that DE. CF, ED. DFE, vI. 4. V. 14. VI. 4. PROPOSITION 19. **THEOREM. Similar triangles are to one another in the duplicate ratio of their homologous sides.** A Let ABC, DEF be similar triangles, having the L ABC equal to the L DEF, and let BC and EF be homologous... | |
| 1905
...Describe an isosceles triangle having each of the angles at the base double of the vertical angle. 4. **Similar triangles are to one another in the duplicate ratio of their homologous** titles. 5. If any similar rectilineal figure be similarly described on the three sides of a right-angled... | |
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