| Henry W. Keigwin - Geometry - 1897 - 254 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... | |
| James Howard Gore - Geometry - 1898 - 232 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... | |
| Webster Wells - Geometry - 1898 - 284 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... | |
| William James Milne - Geometry - 1899 - 398 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... | |
| 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... | |
| 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... | |
| Webster Wells - Geometry - 1899 - 424 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.... | |
| University of Toronto - 1900 - 1164 pages
...proposition just after (IV. 10) 1 3. Equal triangles which have one augle of the i>ne equal to one **angle of the other, have their sides about the equal angles reciprocally proportional ; and triangles** which have one angle of the one equal to one angle of the other and their sides about the equal angles... | |
| Euclides, Micaiah John Muller Hill - Euclid's Elements - 1900 - 165 pages
...proportional, are equal in area. 49. (i) Equal triangles which have one angle of the one equal to one **angle of the other have their sides about the equal angles reciprocally proportional,** (ii) Triangles which have one angle in the one equal to one angle in the other and the sides about... | |
| University of Toronto - 1901 - 1190 pages
...as their bases. (Eue. VI, 1.) 7. Equal parallelograms, which have one angle of the one equal to one **angle of the other, have their sides about the equal angles reciprocally proportional.** (Eue. VI, 14.) 8. APB is any chord of a given circle, drawn through the fixed point P. On AB is described... | |
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