 | David Eugene Smith - 1911 - 360 σελίδες
...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 as far as its use in plane geometry... | |
 | United States. Office of Education - 1911 - 1154 σελίδες
...measured by one-half the arc intercepted by its sides. 3. Two triangles having 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. ■ 4. (iiven a parallelogram and a point outside of it, obtain a... | |
 | William Herschel Bruce, Claude Carr Cody - 1912 - 134 σελίδες
...edges. PROPOSITION XX. THEOREM 665. Tetrahedrons having a trihedral angle of one equal to a trihedral angle of the other are to each other as the products of the edges about the equal trihedral angles. T "-<. \ ^^* AD Given two tetrahedrons T-ABC and T'-DEF, with... | |
 | Clara Avis Hart, Daniel D. Feldman - 1912 - 504 σελίδες
...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 of a triangle divides the opposite... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 216 σελίδες
...PROPOSITION XIV. THEOREM 810. Two triangular pyramids, having a trihedral angle of one equal to a trihedral angle of the other, are to each other as the products of the edges including the equal trihedral angles. Given triangular pyramids 0-ACD and Q-FGM with trihedral... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 496 σελίδες
...PROPOSITION VII. THEOREM 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. •A. DB Given the triangles ABC and ADE, with the common angle A.... | |
 | Walter Burton Ford, Earle Raymond Hedrick - 1913 - 272 σελίδες
...cross section ? 193. Theorem IV. Two triangles that have an acute angle of the one equal to an acute angle of the other are to each other as the products of the sides including the equal angles. C B' BD FIG. 134 Given the A ABC and A'B'C having the ZC common.... | |
 | Walter Burton Ford, Charles Ammerman - 1913 - 176 σελίδες
...Theorem XVIII. Two triangular pyramids that have a trihedral angle of the one equal to a trihedral angle of the other are to each other as the products of the edges including the equal trihedral angles. Given the triangular pyramids O-FGH and O'-FG'H', with... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 486 σελίδες
...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 A'. To prove AARC = AB x AC A A'B'C'... | |
 | Walter Burton Ford, Charles Ammerman - 1913 - 378 σελίδες
...327. Corollary 1. Two triangular prisms that have a trihedral angle of the one equal to a trihedral angle of the other are to each other as the products of the edges including the trihedral angles. [HINT. Break the prism up into triangular pyramids, and use §... | |
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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. 
