In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let... The Cambridge Examiner - Page 2521884Full view - About this book
| Robert Simson - Trigonometry - 1806 - 546 pages
...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...straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at... | |
| John Playfair - Mathematics - 1806 - 320 pages
...acute angles is less than the squares of the sides containing that angle, by twice the rect. angle contained by either of these sides and the straight line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at... | |
| John Mason Good - 1813 - 714 pages
...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...straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Prop. XIV. Prob. To describe a square that... | |
| Euclides - 1814 - 560 pages
...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...contained by either of these sides, and the straight line intercopted between the perpendicular let fall upon it from the opposite angle, and the acute angle.... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...every triangle, the square of the side subtending any of the acute angles, i$ less than the squares of the sides containing that angle, by twice the rectangle...straight line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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 perpendiculai let fall upon it from the opposite angle, and the acute angle.* Let ABC be any triangle,... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...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...contained by either of these sides, and the straight line inteicepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.... | |
| Henry Parr Hamilton - Geometry, Analytic - 1826 - 354 pages
...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...straight line intercepted between the perpendicular let fall upon it from the opposite angle., and the acute angle." (Eve. II. IS). Since the triangle may... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...triangle, the square of the side subtending either SeeN. of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at... | |
| John Playfair - Geometry - 1829 - 210 pages
...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... | |
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