 | 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; ZA = ZD; DE : AB = DF : AC. To Prove : The... | |
 | 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...and the sides including these angles proportional. Draw A ABC and A'B'C' having ZA = ZA', and the sides including these angles proportional. We then have... | |
 | Webster Wells - Geometry - 1908 - 336 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...and the sides including these angles proportional (§ 242). When their sides are parallel each to each, or perpendicular each to each (§243). Two right... | |
 | Albert Harry Wheeler - Algebra - 1908 - 700 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... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...have the same ratio as the squares oftheir corresponding sides. 292. Co R. 2. // two triangles that have an angle of one equal to an angle of the other are equivalent, the product of the sides including the angle in one equals the product of the sides... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...altitudes. 4. Triangles having equal altitudes are to each other as their bases. 5. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. 6. If two triangles... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 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 A'ffC... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 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 A ABC... | |
| |
... 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. 
