 | William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 286 pagina’s
...respectively, to two angles of the other. PROPOSITION XVIII. THEOREM. 368. Two triangles are similar if they have an angle of the one equal to an angle of the other and the including sides proportional. EF Given As ABC and DBF in which XA = XD, and — = — . DE... | |
 | George Albert Wentworth, David Eugene Smith - 1910 - 287 pagina’s
...one are equal respectively to two angles of the other. PROPOSITION XIV. THEOREM 288. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. ABA B' Given the triangles ABC and A'B'C',... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 300 pagina’s
...triangles ACD and EBC that AC- BC = CE- CD. 430. EXERCISES. 1. The areas of two parallelograms having an angle of the one equal to an angle of the other are in the same ratio as the product of the sides including the equal angles. 2. Three semicircles of equal... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 304 pagina’s
...triangles ACD and EBC that AC- BC= CE- CD. 430. EXERCISES. 1. The areas of two parallelograms having an angle of the one equal to an angle of the other are in the same ratio as the product of the sides including the equal angles. 2. Three semicircles of equal... | |
 | David Eugene Smith - 1911 - 360 pagina’s
...working only with the tape, is given on page 99. THE TEACHING OF GEOMETRY THEOREM. The areas of two triangles which 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. This proposition may be omitted... | |
 | Clara Avis Hart, Daniel D. Feldman - 1911 - 332 pagina’s
...Construct a circle equivalent to the sum of two given circles. Ex. 1125. Assuming that the areas of two triangles which 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, prove that the bisector of an angle... | |
 | William Ernst Paterson - 1911 - 262 pagina’s
...each, and a side of the one equal to the corresponding side of the other. Prop. 9. If two triangles have an angle of the one equal to an angle of the other, and the sides about another pair of angles equal, each to each, then the third angles are either equal... | |
 | 1911 - 192 pagina’s
...parts of equal area? (6) Trisect a right angle, and explain your construction. 6. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, prove that the two triangles are similar. 6. The angle of a sector... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1911 - 266 pagina’s
...of an inscribed rectangle enclose a rhombus. Ex. 737. 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. 738. Two rectangles are similar if two adjacent sides are... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 486 pagina’s
...[The solution is left to the student.] PLANE GEOMETRY PROPOSITION XIII. THEOREM 378. The areas of two triangles which 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. Given A ABC and A'B'C', ZA = Z... | |
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Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar. 
