| Robert Simson - Trigonometry - 1806 - 548 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...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 B one... | |
| 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 B one... | |
| 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...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 shall... | |
| 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.... | |
| Euclides - 1816 - 592 pages
...than the squares of the fides containing that angle, by twice the rectangle contained by either ot **these sides, and the straight line intercepted between the perpendicular let fall** upon it from ttie opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B... | |
| John Playfair - Circle-squaring - 1819 - 348 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...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 B one... | |
| 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 - 1058 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...line intercepted between the perpendicular let fall** upon it from the opposite angle., and the acute angle." (Eve. II. IS). Since the triangle may be either... | |
| 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...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 B one... | |
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