 | Henry W. Keigwin - 1897 - 254 σελίδες
....'. 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 - 1898 - 250 σελίδες
...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... | |
 | Yale University - 1898 - 212 σελίδες
...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... | |
 | 1898 - 228 σελίδες
...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... | |
 | Webster Wells - 1898 - 284 σελίδες
...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 - 1898 - 232 σελίδες
...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 - 1899 - 396 σελίδες
...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 - 1899 - 424 σελίδες
...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 - 1899 - 398 σελίδες
...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 - 1899 - 272 σελίδες
...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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If two triangles have an angle of one equal to an angle of the other... 
