 | Queensland. Department of Public Instruction - 1892 - 508 pàgines
...PQ are drawn through O parallel to BC, CA, and AB, show that HK BC LM CA ' AB PQ _ = 2. 7. Similar triangles are to one another in the duplicate ratio of their homologous sides. 8. Given the base of a triangle, the perpendicular, and the sum of the sides, construct it.... | |
 | Frederick Coate Wade - 1895 - 168 pàgines
...produced, it will cut them proportionally ; and conversely. Is this converse universally true ? 10. Similar triangles are to one another in the duplicate ratio of their homologous sides. Bisect a triangle by a line drawn parallel to one of its sides. ALGEBRA. 1. Investigate a rule... | |
 | Edinburgh Mathematical Society - 1899 - 340 pàgines
...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... | |
 | 1900 - 898 pàgines
...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... | |
 | Great Britain. Parliament. House of Commons - 1900 - 686 pàgines
...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... | |
 | University of Toronto - 1900 - 1164 pàgines
...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... | |
 | University of Sydney - 1901 - 644 pàgines
...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... | |
 | 1902 - 678 pàgines
...that a. BD = » . CD. Prove that m . AB* + n. AC* — m . BD1 + » . DCJ + (/« + «) AD1. (6) Similar triangles are to one another in the duplicate ratio of their homologous sides. What ratio does the area of the regular hexagon inscribed in i circle bear to the area of the... | |
 | 1903 - 898 pàgines
...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... | |
 | Samuel Bower Sinclair - 1903 - 140 pàgines
...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... | |
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Similar triangles are to one another in the duplicate ratio of their homologous sides. 
