 IN a right angled spherical triangle, the sides are of the same affection with the opposite angles ; that is, if the sides be greater or less than quadrants, the opposite angles will be greater or less than right angles. Let ABC be a spherical triangle...  A Treatise of Practical Mathematics - Page 195by Andrew Bell - 1842Full view - About this book
 | Robert Simson - 1806 - 546 pages
...opposite angles will be greater or less than right angles. Let ABC be a spherical triangle right angled at A, any side AB, will be of the same affection with the opposite angle ACB. Case I. Let AB be less than a quadrant, let AE be a quadrant, and let EC be a great circle passing through... | |
 | Euclid - 1810 - 554 pages
...opposite angles will be greater or less than right angles. Let ABC be a spherical triangle right angled at A, any side AB, will be of the same affection with...be less than a quadrant, let AE be a quadrant, and let EC be a great circle passing through E, C. Since A is .a right angle, and AE a quadrant, E is the... | |
 | Euclides - 1816 - 588 pages
...opposite angles will be greater or less than right angles.' Let ABC be a spherical triangle, right angled at A, any side, AB, will be of the same affection with the opposite angle ACB. Case l. Let AB he less than a quadrant, let AE be a quadrant, and let EC be a great circle passing through... | |
 | John Playfair - 1819 - 350 pages
...be greater or less than right angles, and conversely. Let ABC be a spherical triangle, right angled at A, any side AB will be of the same affection with the opposite angle ACB. Produce the arches AC, AB, till they meet again in D, and bisect AD in E. Then ACD, ABD are semicircles,... | |
 | Euclid, Robert Simson - 1821 - 514 pages
...opposite angles will be greater or less than right angles. Let ABC be a spherical triangle right angled at A, any side AB, will be of the same affection with the opposite angle ACB. Case 1. Let ABbe lessthana quadrant,let AEbea quadrant ^ and let EC be a great circle passing through E, C. Since... | |
 | Robert Simson - 1827 - 546 pages
...opposite angles will be greater or less than right angles. Let ABC be a spherical triangle, right angled at A, any side, AB, will be of the same affection...be less than a quadrant, let AE be a quadrant, and let EC be a great circle passing through E, C. Since A is a right angle, and AE a quadrant, E is the... | |
 | Euclides - 1834 - 518 pages
...sides arc of the same affection with the opposite angles; that is, if the sides be greater or leas than quadrants, the opposite angles will be greater...be less than a quadrant, let AE be a quadrant, and let EC be a great circle passing through E, C. Since A is a right angle, and AE a quadrant, E is the... | |
 | Euclid - 1835 - 540 pages
...opposite angles wtti be greater or less than right angles. Let ABC be a spherical triangle, right angled at A, any side AB will be of the same affection with...be less than a quadrant, let AE be a quadrant, and let EC be a great circle passing through E, C. Since A is a right angle, and AE a quadrant, E is the... | |
 | John Playfair - 1837 - 332 pages
...be greater or less than right angles, and conversely. Let ABC be a spherical triangle, right angled at A, any side AB will be of the same affection with the opposite angle ACB. Produce the arcs AC, AB, till they meet again in D, and bisect AD in E. Then ACD, ABD are semicircles,... | |
 | John Playfair - 1842 - 332 pages
...be greater or less than right angles, and conversely. Let ABC be a spherical triangle, right angled at A, any side AB will be of the same affection with the opposite angle ACB. Produce the arcs AC, AB, till they meet again in D, and bisect AD in E. Then ACD, ABD are semicircles,... | |
| |
