 | Sir Norman Lockyer - Electronic journals - 1902 - 688 pages
...varies as the line in the plane revolves. The statement of Prop, xxii., § 458, " that the sum of any two face angles of a trihedral angle is greater than the third angle," should be limited by inserting the word "convex" before the word "trihedral." The seventh,... | |
 | Sir Norman Lockyer - Electronic journals - 1902 - 1074 pages
...varies as the line in the plane revolves. The statement of Prop, xxii., § 458, " that the sum of any two face angles of a trihedral angle is greater than the third angle," should be limited by inserting the word " convex" before the word " trihedral." The seventh,... | |
 | 1876 - 646 pages
...and 6 feet, required the area of the ring contained between their circumferences. 5. The sum of any two face angles of a trihedral angle is greater than the third. 6. The lateral area of a frustrum of a regular pyramid is equal to its slant height into half the sum... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...superposition, but are said to be equal by symmetry. PROPOSITION XXIII. THEOREM. 487. The sum of any .two face angles of a trihedral angle is greater than the third. & Let S-ABC be a trihedral angle in which the face angle ASC is greater than either angle AS B or angle... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...two dihedrals of a trihedral are equal, the trihedral is isosceles. PROPOSITION XIX. . THEOHEM. 91. The sum of two face angles of a trihedral angle is greater than the third. Notation. Let a, j3 and y be the three face angles of u trihedral angle, of which /3 is the greatest.... | |
 | Rutgers University. College of Agriculture - 1893 - 680 pages
...6. The diameter of a circle is five feet; find the side of the inscribed square. 7. The sum of any two- face angles of a trihedral angle is greater than the third. 05) 8. Two symmetrical spherical triangles are equivalent. 9. The lateral area of a cone of revolution... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...plane is the least angle the line makes with any line of the plane. PROPOSITION XXXI. The sum of any two face angles of a trihedral angle is greater than the third face angle. PROPOSITION XXXII. The sum of the face angles of any convex polyhedral angle is less than four right... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...lines not in the same plane, one common perpendicular can be drawn, and only one. 539. The sum of any two; face angles of a trihedral angle is greater than the third face angle. 540. The sum of the face angles of any convex polyhedral angle is less than four right angles. 541.... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...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... | |
 | Yale University - 1898 - 212 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,... | |
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The sum of any two face angles of a trihedral angle is greater than the third face angle. 
