 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.  The elements of plane trigonometry - Σελίδα 6των John Charles Snowball - 1837Πλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | John Wright (Mathematician) - 1772 - 298 σελίδες
...2 triangle triangle are together greater than the third ; becaufe [20. 1 1.], 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... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...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.... | |
 | 1804 - 476 σελίδες
....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 - 1804 - 468 σελίδες
...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 - 1806 - 320 σελίδες
...« 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... | |
 | John Mason Good - 1813 - 714 σελίδες
...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 σελίδες
...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... | |
 | John Playfair - 1819 - 354 σελίδες
...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... | |
 | Abraham Rees - 1819 - 754 σελίδες
...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... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...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,... | |
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