| Robert Simson - Trigonometry - 1806 - 546 pages
...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...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,... | |
| John Playfair - Euclid's Elements - 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,... | |
| John Mason Good - 1813 - 714 pages
...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...sides, and the straight line intercepted between the** perpendicular let fall upon it from the opposite angle, and the acute angle. Prop. XIV. Prob. To describe... | |
| Euclides - 1814 - 560 pages
...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.... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...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 contained by either...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,... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...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
...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...sides, and the straight line intercepted between the** perpendicular let fall upon it from the opposite angle., and the acute angle." (Eve. II. IS). Since... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...side 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...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,... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...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
...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** bi-twecn the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be... | |
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