 | National Committee on Mathematical Requirements - Mathematics - 1923 - 680 pages
...the other; (c) they are mutually equilateral; (d) they are mutually equiangular. 45. The sum of any two face angles of a trihedral angle is greater than the third face angle. 46. The sum of the face angles of any convex polyhedral angle is less tlian four right angles. 47.... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...convex spherical polygons. 132 BOOK VIII Proposition 8. Two Face Angles 194. Theorem. The sum of any two face angles of a trihedral angle is greater than the third face angle. Given the trihedral ZV-XYZ with face Z XVZ > face Z XVY or face Z YVZ. Prove that Z.XVY+ Z YVZ > Z... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...angles are right angles. (d) The sum of the face angles of a polyhedral angle is less than 360°. (e) The sum of two face angles of a trihedral angle is greater than the third face angle. (/) If the opposite face angles of a tetrahedral angle are equal, the opposite dihedral angles are... | |
 | Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...face angles of another, the trihedral angles are either congruent or symmetric. 5 . The sum of any two face angles of a trihedral angle is greater than the third face angle. 6. The sum of the face angles of any convex polyhedral angle is less than four right angles. 7 . The... | |
 | National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...they are mutually equilateral; (d) they are mutually equiangular. [80, 81, 82, 83] 45. The sum of any two face angles of a trihedral angle is greater than the third face angle. [33] 46. The sum of the face angles of any convex polyhedral angle is less than four right angles.... | |
 | Thomas Tymoczko - Mathematics - 1998 - 458 pages
...common point which is the midpoint of each. Is there a simpler analogous theorem ? 14. The sum of any two face angles of a trihedral angle is greater than the third face angle. Is there a simpler analogous theorem? 15. Consider a tetrahedron as the solid that is analogous to... | |
 | Education - 1906 - 592 pages
...10 + or — V420 =10.5 (nearly), or —30.5. Solid Geometry. (Answer five.) 1. Prove: The sum of the two face angles of a trihedral angle is greater than the third face angle. 2. Prove: An oblique prism is equivalent to a right prism whose base is equal to a right section of... | |
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The sum of any two face angles of a trihedral angle is greater than the third face angle. 
