 | James Howard Gore - Geometry - 1898 - 232 pages
...have 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...and the sides including these angles proportional. 3. Two triangles are similar when the sides of one are parallel respectively to the sides of the other.... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...one of 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...and the sides including these angles proportional. A C B' Given, in A ABC and A'B'C', AC PBOP. XVIII. THEOREM. 262. Two triangles are similar when their... | |
 | 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 have their sides respectively proportional,... | |
 | William James Milne - Geometry - 1899 - 404 pages
...equal bases, 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... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...equal bases, 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... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...equal, respectively, to two angles of the other, the triangles are similar. § 250. (3) 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. § 251. (4) If the ratios of the three sides of one triangle to the three... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...C. Hence the triangle A' B' C' is similar to AB C. THEOREM Mil. 176. Two triangles are similar when they have an angle of one equal to an angle of the...and the sides including these angles proportional. In the triangles ABC and A' B' C', let angle A = angle A and A! = A"C A'B' " A7!? To prove that the... | |
 | James McMahon - Geometry, Plane - 1903 - 380 pages
...and is therefore similar to ABC. Two sides and a non-included angle. 45. THEOREM 11. If two triangles have an angle of one equal to an angle of the other, and if the sides about another angle in each are proportional (in such a way that the sides opposite the... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...is 30, the altitude is 5, and one base is 8. Find the other base. THEOREM IX 192. // two triangles have an angle of one equal to an angle of the other, the ratio of the areas of the triangles equals the ratio of the products of the sides including the... | |
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... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 
