 | Robert Simson - 1806 - 546 Seiten
...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...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... | |
 | John Playfair - 1806 - 320 Seiten
...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... | |
 | John Mason Good - 1813 - 714 Seiten
...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...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... | |
 | Euclides - 1814 - 560 Seiten
...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 - 1819 - 350 Seiten
...the side subtending any of the acute angles, i$ less than the squares of the sides containing that angle, by twice the rectangle contained by either...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... | |
 | Euclid, Robert Simson - 1821 - 514 Seiten
...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...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 Seiten
...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 Seiten
...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...straight line intercepted between the perpendicular let fall upon it from the opposite angle., and the acute angle." (Eve. II. IS). Since the triangle... | |
 | Robert Simson - 1827 - 546 Seiten
...subtending either SeeN. of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either...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... | |
 | Pierce Morton - 1830 - 584 Seiten
...which is opposite to any given angle, is greater or less than the squares of the sides contairting 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... | |
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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... 
