 | William Ernst Paterson - 1911 - 262 σελίδες
...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... | |
 | Clara Avis Hart, Daniel D. Feldman - 1911 - 332 σελίδες
...Prove that the triangle ODC is equilateral. Ex. 924. 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... | |
 | 1911 - 192 σελίδες
...these latter two sides is perpendicular to the other. 7. Prove 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 enclosing the equal angles. B 8. The lines joining successively... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1911 - 266 σελίδες
...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 proportional.... | |
 | David Eugene Smith - 1911 - 360 σελίδες
...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... | |
 | Clara Avis Hart, Daniel D. Feldman - 1912 - 504 σελίδες
...Prove that the triangle ODC is equilateral. Ex. 924. 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 490 σελίδες
...vertices of an inscribed 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.... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 328 σελίδες
...[The solution is left to the student.] 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 product of the sides including the equal angles. Given A ABC and A'B'C', Z... | |
 | 1913 - 396 σελίδες
...only one If two triangles have their homologous sides proportional they are similar If two triangles have an angle of the one equal to an angle of the other their areas are to each other as the products of the sides including the equal angles The area of a... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 496 σελίδες
...• 1 AA'B'C' AW Proof. Since the triangles are similar, Given §282 (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 AC (Similar... | |
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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. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C'... 
