| Euclides - 1814 - 558 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 - 528 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 one of its acute... | |
| 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 - 372 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.... | |
| John Playfair - Geometry - 1829 - 186 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... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...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 pages
...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... | |
| Mathematics - 1835 - 684 pages
...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... | |
| Mathematics - 1836 - 472 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** perperdicular, let fall upon it from the opposite angle, and the acute angle. A. If one side of a triangle... | |
| John Playfair - Euclid's Elements - 1836 - 488 pages
...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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