| David Sands Wright - Geometry - 1906 - 104 pages
...are similar if — 1. They are mutually equiangular. 2. Their homologous sides are proportional. 3. **They have an angle of one equal to an angle of the other, and the** sides including the equal angles are proportional. 4. The homologous sides are parallel. 5. The homologous... | |
| Isaac Newton Failor - Geometry - 1906 - 440 pages
...to an acute angle of the other. PROPOSITION XVIH. THEOREM 354 If two triangles have an angle of the **one equal to an angle of the other, and the including sides proportional,** they are similar. HYPOTHESIS. In the triangles ABC and A'B'C', £ A = Z A', and AB : A'B' = AC : A'C'.... | |
| Isaac Newton Failor - Geometry - 1906 - 431 pages
...the including sides proportional. .-. the A OAB and BAC are similar. "If two A have an angle of the **one equal to an angle of the other, and the including sides proportional,** they are similar." § 354 But the A OAB is isosceles. § 221 /. the A COB is isosceles, and Z 0 = Z... | |
| Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...other side, the parallelogram formed is equivalent to the trapezoid. 34. If two equivalent triangles **have an angle of one equal to an angle of the other,** the sides including these angles are reciprocally proportional. 35. The sum of the three perpendiculars... | |
| Edward Rutledge Robbins - Geometry - 1907 - 428 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 DEF;... | |
| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...other side, the parallelogram formed is equivalent to the trapezoid. 34. If two equivalent triangles **have an angle of one equal to an angle of the other,** the sides including these angles are reciprocally proportional. 35. The sum of the three perpendiculars... | |
| Webster Wells - Geometry, Plane - 1908 - 206 pages
...one 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 including... | |
| Albert Harry Wheeler - Algebra - 1908 - 698 pages
...are 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 line... | |
| Webster Wells - Geometry - 1908 - 338 pages
...equal to 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, or... | |
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