| Queensland. Department of Public Instruction - 1892 - 506 páginas
...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... | |
| 1893 - 760 páginas
...vertex, and show how to divide the circumference of a circle into fifteen equal parts. 0. The areas of **similar rectilineal figures are to one another in the duplicate ratio of their homologous sides.** Hence show that any rectilineal figure described on the hypothenuse of a right-angled triangle is equal... | |
| Frederick Coate Wade - 1895 - 168 páginas
...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 - 1899 - 340 páginas
...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... | |
| University of Toronto - 1900 - 1158 páginas
...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... | |
| Micaiah John Muller Hill - 1900 - 165 páginas
...— E : F, where all the magnitudes are of the same kind, then A :B=A + C+E:B+D + F. 44. The areas of **similar rectilineal figures are to one another in the duplicate ratio of** corresponding sides. 45. (i) If'A:JB=C:D, then figure on A : similar and similarly described figure... | |
| Great Britain. Parliament. House of Commons - 1900 - 686 páginas
...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... | |
| 1900 - 898 páginas
...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 - 646 páginas
...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.... | |
| Samuel Bower Sinclair - 1903 - 140 páginas
...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... | |
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