 | University of Cambridge - 1854 - 698 pages
...prove thattheretl angle contained by AB, A'B' is four times as great as that contained by iC B'C. 6. If a solid angle be contained by three plane angles, any two of them re greater than the third. Within the area of a given triangle is described a triangle, the sides of... | |
 | McGill University - 1868 - 402 pages
...plane passing through this line is also perpendicular to the same plane. 7. If a solid angle be bounded by three plane angles, any two of them are together greater than the third. 8. Circles ar« to one another as the squares of their diameters. SESSIONAL EXAMINATIONS, 1868. FRIDAY,... | |
 | Manchester univ - 1877 - 544 pages
...this. 2. Construct a rectilineal figure equal to one and similar to another rectilineal figure. 3. If a solid angle be contained by three plane angles, any two of them arc together greater than the third. 4. Define a conical surface. Find an expression for the volume... | |
 | 562 pages
...Therefore LK is perpendicular to CD and KH, and therefore to AB which is parallel to KH. PROPOSITION 20. If a solid angle be contained by three plane angles, any two, taken together in any manner, are greater than the remaining one. For let the solid angle at A be contained... | |
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If a solid angle be contained by three plane angles, any two of them are together greater than the third. Let the solid angle at A be contained by the three plane angles BAC, CAD, DAB : any two of them shall be together greater than the third. 
