 | Peter Nicholson - 1825 - 1046 pagina’s
...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 - 1826 - 354 pagina’s
...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...it from the opposite angle., and the acute angle." (Eve. II. IS). Since the triangle may be either acute angled, or obtuse angled, or right angled, the... | |
 | George Lees - 1826 - 276 pagina’s
...the base of an isosceles triangle, is equal to twice the rectangle contained by either side, and by the straight line intercepted between the perpendicular, let fall upon it from the opposite angle and the extremity of the base. 3. If the vertical angle of a triangle be two-thirds of a right angle, the square... | |
 | Robert Simson - 1827 - 546 pagina’s
...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...upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides... | |
 | John Playfair - 1829 - 210 pagina’s
...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 - 584 pagina’s
...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 - 518 pagina’s
...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 - 540 pagina’s
...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...upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides... | |
 | 1835 - 684 pagina’s
...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... | |
 | John Playfair - 1836 - 148 pagina’s
...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...upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides... | |
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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... 
