| Trigonometry - 1799 - 351 pages
...to the third plane. Wherefore, if two planes, &c. Q^ ED u/j.Oef.n. b i3I 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. Any two of them are... | |
| John Playfair - Euclid's Elements - 1804 - 440 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. Any two of them... | |
| Education - 1804 - 130 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 - Trigonometry - 1806 - 311 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 ; any two of them are... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...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, Olinthus Gilbert Gregory - 1819
...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 are less than loar right... | |
| Abraham Rees - Encyclopedias and dictionaries - 1819
...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 than four right angles.... | |
| John Playfair - 1819 - 317 pages
...drawn perpendicular to the two given lines, AB and CD. Which was to be« done. • PROP. XX. THEOR. **If a solid angle be contained by three plane angles, any two of** theseangles are greater than the third. Let the solid angle at A be contained by the three plane angles... | |
| Euclid, Robert Simson - Mathematics, Greek - 1821 - 516 pages
...therefore is perpendicular to the third plane- Wherefore, if two planes, &c. QED PROP. XX. THEOR. IP **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. Any two of them are... | |
| Mathematics - 1821 - 425 pages
...24 acres in 7 days ? 2. Add together '$ of 5*. 6d., $ of i of 17*. 2+d., and f of £5. 6s. 1\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... | |
| |