 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...LM, and 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. !). If... | |
 | 1894 - 788 pages
...parallel to AD. 4. Similar triangles are to one another in the duplicate ratio of their homologous sides. Similar triangles are to one another in the duplicate ratio of their corresponding altitudes. 6. Shew how to solve two equations which contain two unknown quantities when... | |
 | Frederick Coate Wade - Catholic Church Education Manitoba - 1895 - 168 pages
...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 for... | |
 | Edinburgh Mathematical Society - Electronic journals - 1899 - 340 pages
...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... | |
 | 1899 - 972 pages
...will be accepted. Dr. MORAN, Head Insi>ector. Mr. PEDLOW, District Inspector. SECTION A. 1. Prove that similar polygons may be divided into the same number of similar triangles, and that these triangles have the same ratio to one another that the polygons have. 2. Describe a rectilineal... | |
 | Education - 1900 - 898 pages
...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... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...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... | |
 | Great Britain. Board of Education - Education - 1900 - 906 pages
...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... | |
 | University of Toronto - 1900 - 1164 pages
...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... | |
 | University of Sydney - 1901 - 644 pages
...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.... | |
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Similar triangles are to one another in the duplicate ratio of their homologous sides. 
