 | Euclides - 1814 - 560 σελίδες
...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 - 588 σελίδες
...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 one of its acute... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...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 - 1825 - 1046 σελίδες
...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.... | |
 | John Playfair - 1829 - 210 σελίδες
...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 σελίδες
...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 - 518 σελίδες
...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... | |
 | 1835 - 684 σελίδες
...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... | |
 | 1836 - 488 σελίδες
...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 - 488 σελίδες
...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... | |
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In every triangle, the square on the side subtending either of the acute angles, 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 acute... 
