 | Mathematics - 1898 - 228 pages
...2. A line and plane perpendicular to the same line are parallel, or the plane contains the line. 3. The sum of two face angles of a trihedral angle is greater than the third. 4. State and prove the two propositions regarding first the volume of a triangular pyramid, and second,... | |
 | Education - 1899 - 658 pages
...of the distance from each vertex to the middle of the opposite side. 4. Demonstrate : The sum of any two face angles of a trihedral angle is greater than the third face angle. 5. The radius of a circle is 6 inches. Through a point 10 inches from the center tangents are drawn.... | |
 | William James Milne - Geometry - 1899 - 398 pages
...does the sum of any two of its face angles compare with the third face angle ? Theorem. The sum of any two face angles of a trihedral angle is greater than the third face angle. Data: Any trihedral angle, as Q-ABC, having one face angle, as AQC, greater than either of the other... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...that is, the trihedral angles are not superposable. PROPOSITION XXVI. THEOREM. 580. The sum of any two face angles of a trihedral angle is greater than the third face angle. In the trihedral angle S-ABC, let the angle ASC be greater than ASB or BSC. To prove Z ASB + Z BSC... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...that is, the trihedral angles are not superposabie. PROPOSITION XXVI. THEOREM. 580. The sum of any two face angles of a trihedral angle is greater than the third face angle. In the trihedral angle S ABC, let the angle ASC be greater than ASB or BSC. To prove Z ASB + Z BSC... | |
 | Education - 1899 - 962 pages
...of the distance from each vertex to the middle of the opposite side. 4. Demonstrate : The sum of any two face angles of a trihedral angle is greater than the third face angle. 5. The radius of a circle is 6 inches. Through a point 10 inches from the center tangents are drawn.... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...plane bisecting that angle. § 444. 11. THEOREMS oN TRIHEDRAL AND POLYHEDRAL ANGLES. (1) The sum of any two face angles of a trihedral angle is greater than the third face angle. § 458. (2) Any face angle of a polyhedral angle is less than the sum of the remaining face angles.... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...that is, the trihedral angles are not superposable. PROPOSITION XXVI. THEOREM. 580. The sum of any two face angles of a trihedral angle is greater than the third face angle. In the trihedral angle S-ABC, let the angle ASC be greater than ASB or BSC. To prove Z ASB + Z BSC... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...perpendicular to only one edge, and to only two faces of a polyhedral angle. PROPOSITION XXIV. THEOREM 893. The sum of two face angles of a trihedral angle is greater than the third. X Let X-ABC be any trihedral angle. To Prove Z AXB + Z BXC > Z AXC. Proof. If Z AXC is equal to or... | |
 | Education - 1903 - 630 pages
...line. 9. Show how you obtain the formula for finding the volume of a circular cone. 10. The sum of any two face angles of a trihedral angle is greater than the third. TRIGONOMETRY. 1. Name and define all the general trigonometrical functions. 2. Illustrate by diagram... | |
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The sum of any two face angles of a trihedral angle is greater than the third face angle. 
