| Massachusetts - Massachusetts - 1907
...circumference, is measured by one-half the difference of the intersected arcs. 3. Two triangles, having **an angle of one equal to an angle of the other, are to each other** as the product of the sides including the equal angles. Prove. 4. If the radius of a circle is 3v%... | |
| Edward Rutledge Robbins - Geometry - 1907 - 412 pages
...AMN = ZB; Z ANM = ZC (?) (98). ... A are similar (?) (313). QED B C 317. THEOREM. 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. D BCE Given : A ABC and... | |
| Webster Wells - Geometry, Plane - 1908 - 174 pages
...the form of the trapezoid change ? Draw the trapezoid. PROP. VIII. THEOREM 290. Two triangles having **an angle of one equal to an angle of the other, are to each other** as the products of tJte sides including the equal angles. A Draw A AB'C' and line BC meeting AB> at... | |
| 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... | |
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