 | John Charles Stone, James Franklin Millis - 1916 - 306 σελίδες
...DExDF~lDE DF AB AC 5. DE DF AABC =AB A DEF DE* DE' Def. sim. A Ax. XII EXERCISES 1. Two triangles that have an angle of one equal to an angle of the other, have the sides including the equal angles 4 in. and 9 in. and 12 in. and 5 in., respectively. Compare... | |
 | Eugene Randolph Smith, William Henry Metzler - 1918 - 232 σελίδες
...equal to, or less than, the opposite angle of the other, and conversely. (6) Areas of triangles having an angle of one equal to an angle of the other are to each other as the products of the including sides. B. PLANE GEOMETRY PROPOSITIONS THAT CAN BE USED IN SOLID GEOMETRY... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1918 - 486 σελίδες
...given squares. PROPOSITION XIII. THEOREM 378. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. Given A ABC and A'B'C', Z. A = Z A'. To prove... | |
 | Mabel Sykes, Clarence Elmer Comstock - 1918 - 576 σελίδες
...between two segments * and y whose • difference is AB (see Fig. 434). FIG. 434 t34. If two triangles have an angle of one equal to an angle of the other, the ratio of the areas equals the ratio of the products of the sides that include the equal angles... | |
 | Claude Irwin Palmer - 1918 - 192 σελίδες
...triangles have their corresponding sides proportional, they are similar. § 431. Theorem. If two triangles have an angle of one equal to an angle of the other and the including sides proportional, they are similar. . § 432. Theorem. The areas of two similar... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - 1918 - 460 σελίδες
...measurements are necessan ? §422 §428 Given Whv? §400 §27 § HI 431. Theorem. // two triangles have an angle of one equal to an angle of the other and the including sides proportional, they are similar. Given A ABC and EKH having Zx = ,AB AC and... | |
 | 1898 - 634 σελίδες
...number of triangles, similar each to each and similarly placed. 10. Show that two triangles having an angle of one equal to an angle of the other, are to each other as the products of the sides, including the equal angles. PHYSIOLOGY-First Grade. L Illustrate the... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1920 - 328 σελίδες
...offsets and multiply the result by the distance between the offsets. Theorem 5 325. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the product of the sides including the angle of the first is to the... | |
 | Arthur Sullivan Gale, Charles William Watkeys - 1920 - 464 σελίδες
...one equal respectively to the angles of the other, the triangles are similar. (c) If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. (d) If two triangles have their sides... | |
 | Charles Austin Hobbs - 1921 - 216 σελίδες
...equal to the product of its altitude and one half the sum of its bases. Prop. 153. Two triangles haring an angle of one equal to an angle of the other are to each other as the products of the sides including the equal angles. Prop. 154. Similar triangles are to each other... | |
| |
If two triangles have an angle of one equal to an angle of the other... 
