| William Ernst Paterson - Logarithms - 1911 - 266 pages
...textbook. each to each, and a side of the one equal to the corresponding side of the other. Prop. 9. **If two triangles have an angle of the one equal to an angle of the other, and the sides** about another pair of angles equal, each to each, then the third angles are either equal or supplementary.... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry, Modern - 1911 - 266 pages
...of an inscribed rectangle enclose a rhombus. Ex. 737. Two parallelograms are similar when they'have **an angle of the one equal to an angle of the other, and the** including sides proportional. Ex. 738. Two rectangles are similar if two adjacent sides are proportional.... | |
| Geometry, Plane - 1911 - 192 pages
...these latter two sides is perpendicular to the other. 7. Prove that 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 enclosing the equal angles. B 8. The lines joining successively... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...Prove that the triangle ODC is equilateral. Ex. 924. Assuming that 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, prove that the bisector... | |
| David Eugene Smith - Geometry - 1911 - 360 pages
...with the tape, is given on page 99. THE TEACHING OF GEOMETRY THEOREM. 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. This proposition may be... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...Prove that the triangle ODC is equilateral. Ex. 924. Assuming that 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, prove that the bisector... | |
| Education - 1913 - 396 pages
...can be drawn and only one If two triangles have their homologous sides proportional they are similar **If two triangles have an angle of the one equal to an angle of the other** their areas are to each other as the products of the sides including the equal angles The area of a... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...vertices of an inscribed rectangle inclose a rhombus. Ex. 1067. Two parallelograms are similar when they **have an angle of the one equal to an angle of the other, and the** including sides proportional. Ex. 1068. Two rectangles are similar if two adjacent sides are proportional.... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...C'B', Const CA:CP = CB:CQ. Ax. 9 Also ZC = Z C. Iden. .-. A ABC and PQC are similar. § 288 (If two & **have an angle of the one equal to an angle of the other, and the** including sides proportional, they are similar.) .-.CA:CP = AB:PQ; §282 that is, CA : C'A ' = AB :... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...[The solution is left to the student.] 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 product of the sides including the equal angles. Given A ABC and A'B'C', Z... | |
| |