| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 280 pages
...respectively parallel or perpendicular to the sides of the other are similar. 259. THEOEEM. // two triangles **have an angle of one equal to an angle of the other** and the pairs of adjacent sides in the same ratio, the triangles are similar. B' C' c Given A ABC and... | |
| George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...AABC ABX.AC Then rTT , = , , —— • § 332 (The areas of two triangles that 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.) AABC AB AC 1S, A t'fi'C' = IW x I 7 C^' *... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 280 pages
...perpendicular to the sides of the other are similar. PLANE GEOMETRY. 259. THEOREM. // two triangles **have an angle of one equal to an angle of the other** and the pairs of adjacent sides in the same ratio, the triangles are similar. \ o' (Why?) V BC Given... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Plane - 1911 - 303 pages
...whose bases are 6 and 6' and whose other sides are each equal to s. PROPOSITION VIII. THEOREM 49R Two **triangles which have 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. 4 GCD 2. 3. To prove Given A ABC and DEF,... | |
| United States. Office of Education - 1911
...in a circumference is measured by one-half the arc intercepted by its sides. 3. 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. ■ 4. (iiven a parallelogram and a point... | |
| Education - 1911
...in a circumference is measured by one-half the arc Intercepted by its sides. 3. 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. 4. Given a parallelogram and a point outside... | |
| David Eugene Smith - Geometry - 1911 - 339 pages
...with the tape, is given on page 99. THEOREM. 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. This proposition may be omitted as far as... | |
| Geometry, Plane - 1911 - 178 pages
...vertices of a parallelogram. When will this parallelogram be a rectangle? 2. Prove that 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. Prove that if two diagonals... | |
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