 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...of two or more plane angles, which are not in the same plane. PROPOSITION XVII. 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 BAF, FA C, CAB. Then shall any two... | |
 | 1877 - 678 pages
...the ratio of whose distances from two fixed points is constant is a circle. 4. If a solid angle be contained by three plane angles, any two of them are together greater than the third. 5. In how many different ways can the digits 123567 be arranged so as to give a number divisible by... | |
 | Edwin T. Olver - 1879 - 158 pages
...the ratio of whose distances from two fixed points is constant is a circle. 4. If a solid angle be contained by three plane angles, any two of them are together greater than the third. 5. In how many different ways can the digits 123567 be arranged so as to give a number divisible by... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...perpendicular to the third plane. Wherefore, if two planes &c. QED PROPOSITION 20. THEOREM. 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... | |
 | Education, Higher - 1883 - 536 pages
...parallel, any two of its opposite angles are together equal to two right angles. 15. If a solid angle be contained by three plane angles, any two of them are together greater than the third. Algebra. Junior, Senior, and Higher Local. Junior work, Nos. 1 — 9 inclusive. Senior work, Nos. 6... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...perpendicular to the third plane. Wherefore, if two planes &c. QED PROPOSITION 20. THEOREM. 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 BAG, CAD, DAB: any two of them shall... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...Find the volume of the largest sphere which can be placed inside it. 3. If a solid angle be formed by three plane angles, any two of them are together greater than the third. 4. Shew how to find the area of the portion of a spherical surface included between two small parallel... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...perpendicular to a given plane, and it is the shortest line from the point to the plane. 2. If a solid angle be contained by three plane angles any two of them are together greater than the third. 3. Find the radius of the sphere inscribed in a given tetrahedron. 8 4. Define a right cone and prove... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1872 - 912 pages
...positive). Apply this to find the quadrilateral of given sides and maximum area, 5. If a solid angle be contained by three plane angles, any two of them are together greater than the third. 6. Given base and area of a spherical triangle, find locus (1) of vertex, (2) of the middle point 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,... | |
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If a solid angle be contained by three plane angles, any two of them are together greater than the third. 
