 Two triangles having 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.  Wentworth's Plane Geometry - Page 9by George Albert Wentworth, David Eugene Smith - 1910 - 287 pagesFull view - About this book
 | 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... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...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 §... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...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... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...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. BA ~ & Given the triangles ABC and A'B'C',... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...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 - Geometry, Plane - 1913 - 328 pages
...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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...632. The volumes of two triangular pyramids, that have a trihedral angle of one equal to a trihedral angle of the other, are to each other as the products of the three edges of these angles. Given V and v', volumes of the triangular pyramids 0-ABC and O'-EFG, having... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...edge meet in a point. 125. Two tetrahedrons which have a trihedral angle of one equal to a trihedral angle of the other are to each other as the products of the edges of this trihedral angle. REGULAR POLYHEDRONS If a regular triangular pyramid Tje constructed... | |
 | 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... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...Find the area of the cross section in square feet. 375. Theorem. Two triangles that have an angle of one equal to an angle of the other are to each other...products of the sides including the equal angles. E Given AABC and ADEF with ZC = AABC AC • BC To prove - = . ADEF DF • EF Proof. Place ADEF upon... | |
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