| James Howard Gore - Geometry - 1898 - 232 pages
...have an acute angle of one equal to an acute angle of the other. 2. Two triangles are similar when **they have an angle of one equal to an angle of the other, and the** sides including these angles proportional. 3. Two triangles are similar when the sides of one are parallel... | |
| Webster Wells - 1898 - 264 pages
...one of the tests of similarity is satisfied. PROP. XVII. THEOREM. 261. Two triangles are similar when **they have an angle of one equal to an angle of the other, and the** sides including these angles proportional. B _ B' Given, in &ABC and A'B'C', . i ' PROP. XVIII. THEOREM.... | |
| Webster Wells - Geometry - 1899 - 424 pages
...one of the tests of similarity is satisfied. PROP. XVII. THEOREM. 261. Two triangles are similar when **they have an angle of one equal to an angle of the other, and the** sides including these angles proportional. A C B' Given, in A ABC and A'B'C', AC PBOP. XVIII. THEOREM.... | |
| William James Milne - Geometry - 1899 - 404 pages
...equal bases, to their altitudes. § 336 c. To the products of their bases by their altitudes. § 336 d. **If they have an angle of one equal to an angle of the other,** to the products of the sides including the equal angles. § 340 e. If they are similar triangles, to... | |
| William James Milne - Geometry, Modern - 1899 - 258 pages
...equal bases, to their altitudes. § 336 c. To the products of their bases by their altitudes. § 336 d. **If they have an angle of one equal to an angle of the other,** to the products of the sides including the equal angles. § 340 e. If they are similar triangles, to... | |
| Harvard University - Geometry - 1899 - 39 pages
...respectively equal to two angles of the other, the triangles are similar. THEOREM III. If two triangles **have an angle of one equal to an angle of the other and the** sides including these angles proportional, the triangles are similar. THEOREM IV. If two triangles... | |
| George Albert Wentworth - Geometry - 1899 - 496 pages
...other. BOOK III. PLANE GEOMETRY. PROPOSITION XVIII. THEOREM. 357. If two triangles have an angle of the **one equal to an angle of the other, and the including sides proportional,** they are similar. In the triangles ABC and A'B'C', let ^ A = ^ A', and let AB : A'B' = AC : A'C'. To... | |
| George Albert Wentworth - Geometry, Modern - 1899 - 276 pages
...other. BOOK III. PLANE GEOMETRY. PROPOSITION XVIII. THEOREM. 357. If two triangles have an angle of the **one equal to an angle of the other, and the including sides proportional,** they are similar. In the triangles ABC and A'B'C', let ZA = Z A', and let AB : A'B' = AC : A'C'. To... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...each other as the products of the sides including the supplementary angles. Ex. 540. If two triangles **have an angle of one equal to an angle of the other, and** a second angle of one supplementary to a second angle of the other, the sides about the third angles... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...angle of the one is equal to an acute angle of the other. 357. If two triangles have an angle of the **one equal to an angle of the other, and the including sides proportional,** they are similar. 358. If two triangles have their sides respectively proportional, they are similar.... | |
| |