| John Wright (Mathematician) - Perspective - 1772 - 298 pages
...X 2 triangle triangle are together greater than the third; becaufe [20.11.], when a folid angle is contained by three plane angles, any two of them are together greater than the third ; therefore the meafures of any two of thefe plane angles, in the fuperficies of the fphere, are together... | |
| Robert Simson - Trigonometry - 1781 - 534 pages
...is perpendicular to the third plane. Wherefore if two planes, &c. Q^ ED PROP. XX. THEOR. TF a folid angle be contained by three plane angles, •^ any two of them are greater than the third. Let the folid angle at A be contained by the three plan: angles BAC, CAD, DAB.... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...is perpendicular to.the third plane. Wherefore, if two planes, &c. Q^ED I PROP. XX. THEOR. F a folid angle be contained by three plane angles, any two of them are greater than the third. Let the folid angle at A be contained by the three plane angles BAC, CAD, DAB.... | |
| Cambridge (England) - 1804 - 476 pages
....42.3.4.51 _ ... 51 C\ Iiif 2. Add together i of 5s. 6d., f of J of 17s. 2id., and | of £5. 6s. 7?d. 3. If a solid angle be contained by three plane angles, any two of these are greater than the third. 4. Prove that the sum of the tangents of two arcs is to the difference... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...perpendicular to the two given lines, AB and CD. Which was to be doneBook nI PROP. XX. T fL EO R. F a folid angle be contained by three plane angles, any two of them are greater than the thjrd. Let the folid angle at A be contained by the three plane angles BAC, CAD, DAB.... | |
| John Playfair - Mathematics - 1806 - 320 pages
...« Def. lperpendicular to the two given lines AB, CD. Which was 2- Supto be done. PROP. XX. THEOR. IF a solid angle be 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, DAB... | |
| Cambridge univ, exam. papers - 1810 - 210 pages
...2.3.4.5 JS ; ad inf. 2. Add together f of 5s. 6d., \ of j of 17s. 2id.,* and f of £5. 6s. 7?d. 3. If a solid angle be contained by three plane angles, any two of these are greater than the third. 4. Prove that the sum of the tangents of two arcs is to the difference... | |
| John Mason Good - 1813 - 714 pages
...perpendicular to a third plane; their common section shall be perpendicular to the same plane. Prop. XX. Theor. If a solid angle be contained by three plane angles, any two of tuem are greater than the third. Prop. XXI. Theor. Every solid angle is contained by plain angles which... | |
| John Mason Good - 1819 - 800 pages
...to a third plane ; their common section shall be perpendicular to the same plane. Prop. XX. Theor. If a solid angle be contained by three plane angles, any two of them are greater than the third. Prop. XXI. Theor. Every solid angle is contained by plane angks which together... | |
| Abraham Rees - Art - 1819 - 754 pages
...perpendicular to a third plane, their common feftion (hall be perpendicular to the fame plane. XX. If a folid angle be contained by three plane angles, any two of them are greater than the third. XXI. Every folid angle is contained by plane angles, which together are lets... | |
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