| Henry W. Keigwin - Geometry - 1897 - 227 pages
....'. a : x : : b : y : : c : z. .'. the triangles 1 and 2 are similar. 240. COR. 1. 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. 241. COR. 2. If two triangles... | |
| Webster Wells - Geometry - 1898 - 242 pages
...of a rectangle whose area is 108, and perimeter 52. PROP. VIII. THEOREM. 321. Two triangles having **an angle of one equal to an angle of the other, are to each other** as the products of the sides including the equal angles. A Given Z A common to A ABC and ABC'. To Prove... | |
| Mathematics - 1898 - 208 pages
...point B, and prove the construction correct. 5. 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 those angles. (B) 1. The shadow cast on level ground by a church... | |
| Yale University - 1898
...latter are commensurable and incommensurable. 4. The areas of 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. 5. Given a square the length of whose side... | |
| Webster Wells - Geometry - 1898 - 242 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. B -- fc Given, in &ABC and A' BC', To Prove A ABC... | |
| James Howard Gore - Geometry - 1898 - 210 pages
...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... | |
| William James Milne - Geometry - 1899 - 384 pages
...the ratio of the products of the sides that include their equal angles? Theorem. Two triangles having **an angle of one equal to an angle of the other are to each other** as the products of the sides including tlie equal angles. Data: Any two triangles, as ABC and DEC,... | |
| 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... | |
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