| Webster Wells - Geometry - 1899 - 395 pages
...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.... | |
| William James Milne - Geometry - 1899 - 384 pages
...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... | |
| George Albert Wentworth - Geometry, Plane - 1899 - 256 pages
...AREAS OF POLYGONS. PROPOSITION VII. THEOREM. 410. 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. Let the triangles ABC and ADE have the common... | |
| William James Milne - Geometry, Plane - 1899 - 242 pages
...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... | |
| 1899
...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 - 473 pages
...polygon. PROPOSITION VII. THEOREM. ).-•. 410. The areas of two triangles which have an angle of the **one equal to an angle of the other are to each other** us the products of the sides including the equal angles. Let the triangles ABC and ADE have the common... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 218 pages
...of its bases multiplied by the altitude. 410. 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. 412. The areas of two similar polygons are... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 240 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... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 370 pages
...three given squares. PROPOSITION XV. THEOREM 369. 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. D c A' D' Hyp. In triangles ABC and A'B'C',... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 370 pages
...three given squares. PROPOSITION XV. THEOREM 369. H4e 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. D A' D. G' Hyp. In triangles ABC and A'B'C',... | |
| |