 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...triangle are equal respectively to two angles of another, the triangles are similar. 4. If two triangles have an angle of one equal to an angle of the other and the including sides proportional, the triangles are similar. 5. If two triangles have their sides respectively proportional, they are... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor, Eva Crane Farnum - Geometry, Modern - 1924 - 360 pages
...side and left side to left side, the triangles are similar. § 161 *377. Theorem. If two triangles have an angle of one equal to an angle of the other and the including sides proportional, they are similar. A' Given AABC and A'B'C'; ZB = ZB' and AB BC A'B' B'C' To prove that AABC^ A A' B'C'.... | |
 | Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...have two angles of one respectively equal to two angles of the other. 2. They have an angle of the one equal to an angle of the other and the including sides proportional. 3. The sides of one are respectively proportional to the sides of the other. b. In any right triangle,... | |
 | National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...are similar if (a) they have two angles of one equal, respectively, to two angles of the other; (6) they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. [59*, 60*, 61*, cd*] > 14. If two... | |
 | William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...respective sides perpendicular; (4) have their respective sides proportional; (5) have an angle of the one equal to an angle of the other and the including sides proportional; (6) are similar to the same triangle; Polygons are similar, if they (1) are mutually equiangular and... | |
 | Military Academy, West Point - 1934 - 964 pages
...of degrees in each angle of the quadrilateral EFOJÍ. 10 Theorem: The areas of two triangles which have an angle of one equal to an angle of the other are to each other as the product of the sides including those angles. 10 Problem: Draw a common secant... | |
 | United States Military Academy - 1942 - 1028 pages
...and a tangent, if one of the intercepted arcs is 41°. 10 Prove that the areas of two triangles which have an angle of one equal to an angle of the other arc to each other as the products of the sides including those angles. 10 Construct a triangle equivalent... | |
 | Georgia. Department of Education - Education - 1919 - 648 pages
...square of the hypotenuse is1 equal to the sum of the squares of the legs. Demonstrate: If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. Demonstrate:... | |
 | Henry Sinclair Hall - Geometry - 1924 - 316 pages
...from (i) to (ii) assumes that if XY : AB - XZ : AC then XY:XZ=AB: AC. THEOREM XV. If two triangles have an angle of one equal to an angle of the other, and the sides containing the equal angles proportional, then the triangles are similar. Given. ABC, XYZ are... | |
 | Education - 1903 - 780 pages
...point in which its medians concur, is one-third of the original triangle. 6. Prove: If two triangles have an angle of one equal to an angle of the other, they are proportional to the rectangles of the sides including those angles. 722 EXAMINATION QUESTIONS.... | |
| |
... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 
