 | John Playfair - 1829 - عدد الصفحات: 210
...triangle the square of the side subtending an acute angle is less than the sum of the squares of the two sides containing that angle, by twice the rectangle contained by either of those sides and the distance between the acute angle and the perpendicular drawn from the opposite... | |
 | Pierce Morton - 1830 - عدد الصفحات: 584
...triangle, the square of the side which is opposite to a given angle is greater or less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and that part of it which is intercepted between the perpendicular, let fall upon it from the opposite... | |
 | Euclides - 1834 - عدد الصفحات: 518
...triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...of these sides, and the straight line intercepted bi-twecn the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be... | |
 | Euclid - 1835 - عدد الصفحات: 540
...triangle, the square of the side subtending any of the acute angles, is less than the squares of t 'fie sides containing that angle by twice the rectangle...acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides containing it, let • 12. 1. fall the perpendicular*... | |
 | 1835 - عدد الصفحات: 684
...the square of the side which is opposite to any given angle, is greater or less than the squares of the sides containing that angle, by twice the rectangle, contained by either of these sides, and that part of it, which is intercepted between the perpendicular let fall upon it from the opposite... | |
 | John Playfair - 1836 - عدد الصفحات: 148
...every triangle, the square of the side subtending any of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle...acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides containing it, let fall the perpendicular... | |
 | 1836 - عدد الصفحات: 488
...every triangle the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the perperdicular, let fall upon it from the opposite angle, and the acute angle. A. If one side of a triangle... | |
 | John Playfair - 1836 - عدد الصفحات: 488
...triangle, the square of the side sub- . tending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these tides, and the straight line intercepted between the perpendicular, let fall upon it from the opposite... | |
 | John Playfair - 1837 - عدد الصفحات: 332
...every triangle the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of 'the sides containing it, let fall the perpendicular... | |
 | Euclides - 1837 - عدد الصفحات: 112
...every triangle, the square of the side -btending any of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle...upon it from the opposite angle, and the acute angle. Fig. 1. Fig. 3. Steps of the Demonstration to Case 1st. (in which AD falls within the A.) 1. Prove... | |
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In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular... 
