| John Playfair - 1829 - عدد الصفحات: 186
...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: 272
...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
...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, Robert Simson - 1835 - عدد الصفحات: 513
...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
...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: 114
...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: 472
...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: 471
...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: 318
...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
...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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