| Webster Wells - Geometry, Plane - 1908 - 174 pages
...of the tests of similarity is satisfied. PROP. XV. THEOREM 242. 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. Draw A ABC and A'B'C' having ZA = ZA', and the sides... | |
| Elmer Adelbert Lyman - Geometry - 1908 - 340 pages
...its altitude and one half of the sum of its parallel sides. 396. The areas of two triangles having **an angle of one equal to an angle of the other are** in the same ratio as the product of the sides including the equal angles. 398. The areas of two similar... | |
| Albert Harry Wheeler - Algebra - 1908 - 664 pages
...taken parallel to the axis of Y, and accordingly the triangles OfiA and OH' A' are similar, since they **have an angle of one equal to an angle of the other,** and the included sides proportional. It follows that either of the points A or A' lies on the straight... | |
| Webster Wells - Geometry - 1908 - 298 pages
...two angles of the other (§ 236). When their homologous sides are proportional (§ 240). When they **have an angle of one equal to an angle of the other,** and the sides including these angles proportional (§ 242). When their sides are parallel each to each,... | |
| Grace Lawrence Edgett - Geometry - 1909 - 81 pages
...bisector of the opposite angle. Group V. Similar Polygons 1. Two parallelograms are similar if they **have an angle of one equal to an angle of the other,** and the including sides proportional. 2. Two rectangles are similar if two adjacent sides of one are... | |
| 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 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... | |
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