 | Robert Simson - 1806 - 546 pages
...least of all the circles drawn through < \ meeting ADD". QED PROP. XIII. FIG. 9. IN a right angled spherical triangle the sides are of the same affection...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.... | |
 | Euclides - 1816 - 588 pages
...right angled spherical triangle, the sides are of the same affection with the opposite angles} thatis* if the sides be greater or less than quadrants, the...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.... | |
 | John Playfair - 1819 - 350 pages
...triangle, the sides containing the right angle. are of the same affection with the angles opposite to them, that is, if the sides be greater or less than quadrants,...angles will 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... | |
 | Edward Riddle - 1824 - 572 pages
...angle are of the same affection as their opposite angles ; that is, if the sides be greater or kss than quadrants, the opposite angles will be greater or less than right angles ; and, conversely, if the angles be greater or less than Tight angles, the opposite sides will be greater... | |
 | Robert Simson - 1827 - 546 pages
...FIG. 9. In a right angled spherical triangle, the sides are of the same affection with the oppostte angles ; that is, if the sides 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.... | |
 | John Playfair - 1833 - 346 pages
...triangle, the sides containing the right angle are of the same affection with the angles opposite to them, that is, if the sides be greater or less than quadrants, the opposite angles vMl be greater or less than right angles, and conversely. Let ABC be a spherical triangle, right angled... | |
 | Euclid - 1835 - 540 pages
...opposite angles ; that is, if the sides be greater or less than quadrants, the 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 the opposite angle ACB. Case 1. Let... | |
 | 1836 - 488 pages
...triangle, the sides containing the right angle are of the same affection with the angles opposite to them, that is, if the sides be greater or less than quadrants,...angles will be greater or less than right angles, and conversely. XV. If the two sides of a right angled spherical triangle about the right angle be... | |
 | A. Bell - 1837 - 180 pages
...is the greatest, and CB, its supplement, the least of all the arcs drawn through C. PROPOSITION XIV. In a right-angled spherical triangle the sides are...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... | |
 | John Playfair - 1837 - 332 pages
...the right angle are oj the same affection with the angles opposite to them, that is, if the sides ba greater or less than quadrants, the opposite angles will 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... | |
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Oj the same affection with the angles opposite to them, that is, if the sides be greater or less than quadrants, the opposite angles will be greater or less than right angles, and conversely. 
