 | George Washington Hull - Geometry - 1897 - 408 pages
...AS=DS', the trihedral angles S—ABC and S'—DEF are symmetrical. PROPOSITION XXVI. THEOREM. 423. The sum of any two face angles of a trihedral angle is greater than the third. The theorem requires proof only when the angle considered is greater than each of the others. Given—The... | |
 | Mathematics - 1898 - 228 pages
...projection on the plane than with any other line in the plane passing through the point of intersection. 2. The sum of any two face angles of a trihedral angle is greater than the third. 3. Define a regular polyhedron. How many regular polyhedrons are there ? Give their names and define... | |
 | Yale University - 1898 - 212 pages
...projection on the plane than with any other line in the plane passing through the point of intersection. 2. The sum of any two face angles of a trihedral angle is greater than the third. 3. Define a regular polyhedron. How many regular polyhedrons are there ? Give their names and define... | |
 | Education - 1899 - 658 pages
...is two-thirds 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... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...coincident with SB ; 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... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...coincident with SB ; 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... | |
 | Education - 1899 - 962 pages
...is two-thirds 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... | |
 | William James Milne - Geometry - 1899 - 404 pages
...trihedral angle. How does the sura 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 tfie third face angle. The theorem requires proof only when the third angle is greater than each of... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...sum of any two sides of a spherical triangle is greater than the third side. O SUGGESTIONS FOR PROOF. The sum of any two face angles of a trihedral angle is greater than the third face angle. (Art. 459.) PROPOSITION VIII 622. The sum of the sides of a convex spherical polygon is... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...coincident with SB ; 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... | |
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The sum of any two face angles of a trihedral angle is greater than the third face angle. 
