| Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...are siruilar. Hence, show that DG . DE = DH • DF. PROPOSITION XIII. THEOREM 316. 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. A 3 A' . O' Given A ABC and A'B'C',... | |
| William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...The area of a trapezoid is equal to the product of its altitude and mid-line. 337. 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. 344. In a right... | |
| John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...DExDF~lDE DF AB AC 5. DE DF AABC =AB A DEF DE* DE' Def. sim. A Ax. XII EXERCISES 1. Two triangles that **have an angle of one equal to an angle of the other,** have the sides including the equal angles 4 in. and 9 in. and 12 in. and 5 in., respectively. Compare... | |
| William Betz - Geometry - 1916 - 536 pages
...successively 54, 68, 72, 72, 60, 44, 36, 28, and 20, measurements being in centimeters. 337. 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. Given two triangles... | |
| Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...corresponding sides of two triangles are proportional, the triangles are similar. 310. 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. 312. If two polygons are similar,... | |
| Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...prove that the two triangles thus formed are similar. PROPOSITION VIII. THEOREM 310. If two triangles **have an angle of one equal to an angle of the other, and the** sides including these angles pro- . portioned, the triangles are similar. Given the A ABC and A'B'C',... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...rectangle inclose a rhombus. Ex. 1067. Two parallelograms are similar when they have an angle of the **one equal to an angle of the other, and the including sides proportional.** Ex. 1068. Two rectangles are similar if two adjacent sides are proportional. Ex. 1069. Three times... | |
| Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...between two segments * and y whose • difference is AB (see Fig. 434). FIG. 434 t34. If two triangles **have an angle of one equal to an angle of the other,** the ratio of the areas equals the ratio of the products of the sides that include the equal angles... | |
| Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...in the figure. Find the area of the cross section in square feet. 376. Theorem. Two triangles that **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. Given AABC and ADEF with... | |
| Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...a trapezoid equals the product of its altitude and its median. § 375. Theorem. Two triangles that **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. § 376. Theorem. The square... | |
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