| Gordon Augustus Southworth, John Charles Stone - Arithmetic - 1904 - 334 pages
...similar triangles the ratios of the corresponding sides are equal, and the ratio of any two sides of one is equal to the ratio of the corresponding sides of the other. B 8. Inaccessible distances may be found by the principle of similar triangles. Sappose we are to find... | |
| John Charles Stone, James Franklin Millis - Arithmetic - 1910 - 440 pages
...similar triangles the ratios of the corresponding sides are equal, and the ratio of any two sides of one is equal to the ratio of the corresponding sides of the other. 8. Inaccessible distances may be found by the principle of similar triangles. Suppose we are to find... | |
| Joseph Victor Collins - Algebra - 1911 - 330 pages
...Л1). Hence, if АПС and AD E are right triangles having the acute angle A common, . = . =, BC=DE AB AD' AB AD' AC AE Thus, we see that so long as two...other, the ratio of any two sides of one triangle is ecju.il to the ratio of the corresponding sides of the other triangle. 248. The Ratios of the Sides... | |
| Eva F. Buker - 1915 - 436 pages
...ratios of the corresponding sides of similar triangles are equal and the ratio of any two sides of one is equal to the ratio of the corresponding sides of the other. 2. By the use of the principle of similar triangles, distances which cannot be measured directly can... | |
| Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...sides are proportional. J3. Two rectangles are similar if the ratio of two consecutive sides of one is equal to the ratio of the corresponding sides of the other. 4. The perimeters of similar triangles are to each other as any two homologous sides. Since the triangles,... | |
| Nathaniel Bowditch - Nautical astronomy - 2002 - 924 pages
...triangles because all their corresponding angles are equal. Since in any pair of similar triangles the ratio of any two sides of one triangle is equal to the ratio of the corresponding two sides of the other triangle, RF OF R'F' OF1 RF OR R'F' OR' OF OF' No matter where the point R is... | |
| Electrical engineering - 1874 - 424 pages
...ratio to one another. 10. The same triangles are such, that the ratio of any two sides of oun of them is equal to the ratio of the corresponding sides of the other (Fig. 20). 11. The three angles of any triangle are together equal to two right angles. 12. lu a right-angled... | |
| |