 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...their third angles are both acute, or both obtuse, the triangles are similar. Compare I. 96 - 100. 116. Two triangles having an angle of the one equal to an angle in the other are to each other as the rectangles of the sides containing the equal angles ; or (Fig.... | |
 | District of Columbia. Board of Education - Education - 1881 - 314 pages
...the process of plant analysis. TENTH GRADE. MAY itf. GEOMETRY AND TRIGONOMETRY. (Twenty credits.) 1. Theorem: — Two triangles having an angle of the one equal to an angle of the other, and the sides including these angles proportional, are similar. 2. If from the diagonal BD of a square... | |
 | George Albert Wentworth - 1881 - 266 pages
...But . AE - EH '•= Wo'' A'B' ~ We'Hyp. Ax. 1 Since AE = A' B', Cons. PROPOSITION VI. THEOREM. 284. Two triangles having an angle of the one equal to an angle of the other, and the including sides proportional, are similar. A A' In the triangles ABC and A' B' C' let -. A'B'... | |
 | George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...to the sum of the squares on the diagonals. GEOMETRY. — BOOK IV. PROPOSITION XIII. THEOREM. 341. Two triangles having an angle of the one equal to...products of the sides including the equal angles. Let the triangles ABC and AD E have the common angle A. TT . АABС We are to prove AB X AC Draw B... | |
 | George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...the squares on the diagonals. PEOPOSITION XIII. THEOREM. 341. Two triangles having an angle of ihe one equal to an angle of the other are to each other as the products of 1 fie sides including the egtial angles. Let the triangles ABC and AD E have the common angle A.... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...AD or AC* : ~B(? :: AD : BD. THEOREM XXIV. 284. Two triangles having an angle in each the same are to each other as the products of the sides including the equal angles. In the As ABC and DEC let the angle c be common. 0 To prove that A ABC : A DEC :: CA X CB : CD X CE.... | |
 | Great Britain. Education Department. Department of Science and Art - 1882 - 510 pages
...values attached to the questions differ little from one another. 1. Prove that two triangles, which have an angle of the one equal to an angle of the other, and the sides including the equal angles proportional, are similar. A diagonal of a parallelogram is... | |
 | Mathematical association - 1883 - 86 pages
...two adjoining sides of the one respectively equal to two adjoining sides of the other, and likewise an angle of the one equal to an angle of the other; the parallelograms are identically equal. [By Superposition.] COR. Two rectangles are equal, if two... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...construction similar to DGE; hence, it is also similar to DFE. Therefore, two triangles, etc. THEOREM XI. Two triangles having an angle of the one equal to an angle of the other, and the sides about those angles proportional, are similar. Let the two triangles ABC, DEF, have the... | |
 | George Albert Wentworth - 1884 - 264 pages
...radius of the circle. COMPARISON OP AREAS. 187. Theorem. The areas of two triangles having an angle of one equal to an angle of the other are to each other as the rectangles of the sides including the equal angles. 188. Theorem. Similar triangles are to each other... | |
| |
Two triangles having 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. 
