 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...perpendicular to AC. 4. 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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...method. PROPOSITION VIII. THEOREM 308. The areas of two triangles which have an angle of one equal to an angle of the other are to each other as the products of the sides including those angles. GIVEN — the triangles ADR and ABC placed so that their equal an- •... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...method. PROPOSITION VIII. THEOREM 398. The areas of two triangles which have an angle of one equal to an angle of the other are to each other as the products of the sides including those angles. GIVEN — the triangles ADE and ABC placed so that their equal angles... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...median by the altitude. 374. 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. 375. The areas of two similar triangles are to each other as the... | |
 | George Albert Wentworth - Geometry - 1896 - 296 pages
...is 1 inch ? Ex. 292. The areas of two triangles which have an angle of the one supplementary to an angle of the other are to each other as the products of the sides including the supplementary angles. Let the A ABC and A'B'C' have the A ACB and A'ffB' supplements... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...Two pyramids having equal altitudes are to each other as their bases. PROPOSITION XXIII. THEOREM 673. Two tetraedrons which have a triedral angle of the...are to each other as the products of the three edges about the equal triedral angles. GIVEN — the tetraedrons TABC and T'A'B'C having the triedral angle... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...having equal altitudes are to each other as their bases. PROPOSITION XXIII. THEOREM 673. Two tctraedrons which have a triedral angle of the one equal to a...are to each other as the products of the three edges about the equal triedral angles. GIVEN—the tetraedrons TABC and T'A'B'C having the triedral angle... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...Two pyramids having equal altitudes are to each other as their bases. PROPOSITION XXIII. THEOREM 673. Two tetraedrons which have a triedral angle of the one equal to a triedral angle of the other are to cach other as the products of the three edges about the equal triedral angles. GIVEN— the tetraedrons... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...other as their bases. PROPOSITION XXIV. THEOREM 700. Two tetraedrons which have a triedral angle of one equal to a triedral angle of the other are to each other as the products of the three edges about the equal triedral angles. GIVEN— the tetraedrons TABC and T'A'B'O having the. triedral angle... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...(Bryn Mawr, 1894.) 10. 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 including the equal angles. Describe an isosceles triangle equal in area to a given triangle... | |
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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. 
