 | Euclid, Robert Simson - 1829 - 548 pages
...therefore is perpendicular to the third plane. Wherefore, if two planes, Sic. 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. Any two of them are... | |
 | Pierce Morton - 1830 - 584 pages
...third plane, their common section shall be perpendicular to the same plane. PROP. 19. (Eue. xi. 20.) If a solid angle be contained by three plane angles, any two of these shall be together greater than the third. Let the solid angle at A be contained by the three... | |
 | University of Cambridge - 1831 - 552 pages
...the three edges of a parallelopipedon, and the angles they make with each other, find its solidity. TUESDAY MORNING .... 9 o'clock to 11. Fourth Class....angles, any two of them are greater than the third. a. If X be the angle which the normal to any point in an ellipse makes with the axis major, the length... | |
 | 1835 - 684 pages
...third plane, their common section shall be perpendicular to the same plane. PROP. 19. (Eue. xi. 20.) If a solid angle be contained by three plane angles, any two of these shall be together greater than the third, Let the solid angle at A be con- B tained by the three... | |
 | 1836 - 366 pages
...circles sectors have the same ratio which the circumferences on which they stand have to one another. 32. If a solid angle be contained by three plane angles, any two of them are greater than the third. How may the magnitudes of two solid angles be compared ? 1838 33. It is impossible to divide a quadrilateral... | |
 | 1836 - 488 pages
...of them perpendicular to a third plane, their common section is perpendicular to the same plane. XX. If a solid angle be contained by three plane angles, any two of these angles are greater than the third. XXI. The plane angles which contain any solid angle are together... | |
 | Euclid, James Thomson - 1837 - 410 pages
...BD, 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 : any two of these are... | |
 | John Charles Snowball - 1837 - 322 pages
...• If a face could have an angle greater than two right angles, Euclid•s Proposition, xi. 20., " If a solid angle be contained by three plane angles, any two of them are together greater than the third," would not be true in all cases. For let ACB be a circle whose diameter... | |
 | John Playfair - 1837 - 332 pages
...perpendicular to AB ; therefore HK is drawn perpendicular to the two given lines, AB and CD. PROP. XX. THEOR. v 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... | |
 | Robert Simson - 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, DAB. Any two of them are... | |
| |
If a solid angle be contained by three plane angles, any two of them are greater than the third. 
