 | George Albert Wentworth - Geometry - 1904 - 496 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... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...coincide, and which not. FSg.S Eig, 0 HOOK VI. SOLID GEOMETRY PROPOSITION XXIV, THEOREM 582. The sum of any two face angles of a trihedral angle is greater than the third face angle. Given the trihedral angle 8-ABC, with angle ASC its greatest face angle. To prove Z ASB + £BSC greater... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...made to coincide, and which not. BOOK VI. SOLID GEOMETRY PROPOSITION XXIV. THEOREM 582. The sum of any two face angles of a trihedral angle is greater than the third face angle. Given the trihedral angle S-ABC, with angle ASC its greatest face angle. To prove Z ASB + /.BSC greater... | |
 | Indiana. Department of Public Instruction, Fassett Allen Cotton - Education - 1904 - 624 pages
...exterior hase angles. 9. What is a plane! What determines the position of a plain1! 10. The sum of any two face angles of a trihedral angle is greater than the third face ancle. Prove. </. QUESTIONS FOR PROFESSIONAL LICENSE. XoTH. — The following resolution was adopted... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...by the arc of a great circle described from its vertex as pole and included between its sides. 25. The sum of two face angles of a trihedral angle is greater than the third. Cor. The sum of two sides of a spherical triangle is greater than the third. 26. Parallel plane sections... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...(560 and 561). .•. the first is symmetrical to the second (Ax. 6). QED 563. THEOREM. The sum of any two face angles of a trihedral angle is greater than the third face angle. Given: Trih. Zo-BST in which ° face angle ROT is the greatest. To Prove: Z BOS + Z SOT > Z ROT. Proof... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...533. A polyhedral angle formed by three planes is a, trihedral angle. SOLID GEOMETRY THEOREM XII 534. The sum of two face angles of a trihedral angle is greater than the third. Given: A-BCD a trihedral Z with face A BAC, CAD, and BAD. To Prove : Z BAC + Z CAD > Z BAD. Proof:... | |
 | Alan Sanders - Geometry - 1908 - 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 tJie third. x Let X-ABC be any trihedral angle. To Prove Z AXB + Z BXC > Z AXC. Proof. If Z AXC is... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...the other follows from the relations shown in §§ 242 and 243. 245. Theorem IV. (a) The sum of any two face angles of a trihedral angle is greater than the third face angle. (b) The sum of any two sides of a spherical triangle is greater than the third side. VA FIRST PROOF... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 216 pages
...birectangular trihedral angles equal ? Prove your answers. PROPOSITION XXXI. THEOREM 710. The sum of any two face angles of a, trihedral angle is greater than the third face angle. V C Given trihedral Z V-ABC in which, the greatest faoc Z is AVB. To prove Z BVC + Z CVA > Z AVB. OUTLINE... | |
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The sum of any two face angles of a trihedral angle is greater than the third face angle. 
