 | Robert Potts - 1868 - 434 páginas
...BD is perpendicular to the third plane. Wherefore, if two planes, &c. QE.D. PROPOSITION XX. THEOREM. If a solid angle be contained by three plane angles, any two of them an greater than the third. Let the solid angle at A be contained by the three plane angles BAC, CAD,... | |
 | Euclides, James Hamblin Smith - 1872 - 376 páginas
...but BD can be x to the third plane at D ; :. BD is x to the third plane. QED PROPOSITION XX. THEOREM. If a solid angle be contained by three plane angles, any two oj them must be together greater than the third. 33 a _e o Let the solid L at A be contained by the... | |
 | Francis Cuthbertson - 1874 - 400 páginas
...meeting in one point 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,... | |
 | Euclides - 1874 - 342 páginas
...the third plane. Wherefore, if two planes, &c. QED PROPOSITION 20. — Theorem. If a solid angle lie contained, by three plane angles, any two of them are greater than the third. Let the solid angle at A be contained by the three plane angles BAC, CAD, and DAB. Then any two of... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 páginas
...but BD can hex to the third plane at D ; .: BD is x to the third plane. QBD PROPOSITION XX. THEOREM. If a solid angle be contained by three plane angles, any two of them must be together greater than the third. BJ! C Let the solid L at A be contained by the three plane... | |
 | 1877 - 678 páginas
...The locus of a point 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... | |
 | 1878 - 228 páginas
...straight line, drawn through C parallel to AB and terminated by AD produced and AE, is bisected in C. 9. If a solid angle be contained by three plane angles, any two of them shall be greater than the third. 10. If the tangent at any point P of a parabola intersect the directrix... | |
 | Edwin T. Olver - 1879 - 158 páginas
...The locus of a point 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... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 páginas
...equal to the sum of the squares on its distances from the three faces meeting at that angular point. 4. If a solid angle be contained by three plane angles, any two of them are greater than the third. 5. Define the terms conic section, focus, minor axis, asymptote. If a right circular cone be cut by... | |
 | Elizabethan club - 1880 - 156 páginas
...of the areas of the curvilinear figures BDAF and CEAG is equal to the area of the triangle ABC. 12. If a solid angle be contained by three plane angles, any two of them are greater then the third. 13. If the two parallel straight lines AB and CD be projected on any plane whatever,... | |
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If a solid angle be contained by three plane angles, any two of them are greater than the third. 
