 | Education - 1913 - 396 pages
...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 - Geometry - 1913 - 491 pages
...Given .'.ZA = ZA'. §282 Then AABC AB * AC 111611 AA'B'C' ~ AW X A'C" (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 But f§ = I^'... | |
 | Ira Louis Reeves - Military education - 1914 - 508 pages
...find the area of the segment subtended by the side of a regular hexagon. 8. 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 those angles. 9. Problem: Through a given... | |
 | Queensland. Department of Public Instruction - Education - 1914 - 284 pages
...circle is half that of the square oircumBCribed about the same circle. 8. Prove that if two triangles have an angle of the one equal to an angle of the other arxcl the sides about these angles proportional the triangles will be similar. 9. Two circles intersect... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...square equivalent to the sum of three given squares. 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',... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...[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 an4 A'B'C',... | |
 | Carl Sandburg - 1926 - 528 pages
...centres or circumferences," and "Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional; and parallelograms which have one angle of the one equal to one angle of the other, and their sides about... | |
 | Carl Sandburg - 1926 - 528 pages
...centres or circumferences," and "Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional; and parallelograms which have one angle of the one equal to one angle of the other, and their sides about... | |
 | University of Adelaide. Public Examinations Board - Examinations - 1928 - 1280 pages
...conversely, if the corresponding sides of two triangles are proportional, the triangles are equiangular. Triangles which have an angle of the one equal to an angle of the uther, and the sides about the equal angles proportional, are similar. The bisectors of an angle of... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1878 - 634 pages
...otherwise) that AE : ED; :2AF : FB. 10. Equal triangles which have one angle of the one equal to one angle of the other have their sides about the equal...reciprocally proportional ; and triangles which have one angle of the one equal to one angle of the other and their sides about4'the equal angles reciprocally... | |
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Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides... 
