 | 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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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 ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides... 
