 | Robert Simson - Geometry - 1838 - 434 pages
...BD therefore is perpendicular to the third plane. QED Wherefore, if two planes, &c. 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,... | |
 | Euclides - Geometry - 1841 - 378 pages
...therefore BD is perpendicular to the third plane. Wherefore, if two planes, &c. QED 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:... | |
 | Thomas Grainger Hall - Geometry, Descriptive - 1841 - 214 pages
...only line that can be drawn from D -i_ to ADC is BD, the common section of AB and BO. PROPOSITION XXI. If a solid angle be contained by three plane angles, any two of them are greater than the third. Let the solid ZA, be contained by the three plane Zs, BAC, CAD, DAB; any two... | |
 | Euclides - 1842 - 316 pages
...plane in which DE and DF are, that is, to the plane ADC (4. PL). Wherefore, &c. QED 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 Playfair - Euclid's Elements - 1842 - 332 pages
...perpendicular to AB ; therefore HK is drawn perpendicular to the two given lines, AB and CD. PROP. XX. THEOR. If a solid angle be contained by three plane angles, any two of these angles are greater than the third. Let the solid angle at A be contained by the three plane angles... | |
 | Euclides - 1845 - 546 pages
...therefore BD is perpendicular to the third plane. Wherefore, if two planes, &c. QED PROPOSITION XX. THEOREM. 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.... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...therefore, is perpendicular to the third plane. Wherefore, if two planes, &c. 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... | |
 | Euclid - Geometry - 1845 - 218 pages
...therefore is perpendicular to the third plane. Wherefore, if two planes, &c. QED PROPOSITION 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... | |
 | Euclides - 1846 - 292 pages
...Therefore BD is perpendicular to the third plane. Wherefore, If two planes &. QED PROP. XX. THEOR. 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 these shall... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...perpendicular to AB ; therefore HK is drawn perpendicular to the two given lines, AB and CD. PROP. XX. THEOR. If a solid angle be contained by three plane angles, any two of these angles are greater than the third, Let the solid angle at A be contained by the three plane angles... | |
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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. 
