 | Webster Wells - 1908 - 208 σελίδες
...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 - 1908 - 364 σελίδες
...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 - 1908 - 700 σελίδες
...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 - 1908 - 336 σελίδες
...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,... | |
 | Eugene Randolph Smith - 1909 - 424 σελίδες
...equal to, or less than, the opposite angle of the other, and conversely. (5) Areas of triangles having an angle of one equal to an angle of the other are to each other as the products of the including sides. B. PLANE GEOMETRY PROPOSITIONS THAT CAN BE USED IN SOLID GEOMETRY... | |
 | Eugene Randolph Smith - 1909 - 204 σελίδες
...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 including... | |
 | Grace Lawrence Edgett - 1909 - 104 σελίδες
...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... | |
 | Michigan. Department of Public Instruction - 1909 - 356 σελίδες
...in the circumference of a circle two chords are drawn, 4. (a) Two triangles having 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. (b) To trisect a right angle. (c) Through... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 304 σελίδες
...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... | |
 | George Albert Wentworth, David Eugene Smith - 1910 - 287 σελίδες
...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^' *... | |
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If two triangles have an angle of one equal to an angle of the other... 
