| Robert Simson - 1806 - 518 páginas
...PROP. XIII. THEOR. See N. IN every triangle, the square of the side subtending any of the acute angles **is less than the squares of the sides containing that...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 - 1806 - 311 páginas
...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
...angle. Prop. XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, **is less than the squares of the sides containing that...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
...t. PKOP. XIII. THEOR. IN every triangle, the square of the side subtending any of the acute angles, **is less than the squares of the sides containing that...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 - 333 páginas
...PROP. XIII. THEOR. In every triangle, the square of the side subtending any of the acute angles, i$ **less than the squares of the sides containing that...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 - 1825 - 372 páginas
...Proposition XIII. Theorem. In every triangle, the square of the side subtending any of the acute angles, **is less than the squares of the sides containing that...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 - 326 páginas
...following Proposition : " In every triangle, the square of the side subtending any of the acute angles **is less than the squares of the sides containing that...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 - 1827 - 513 páginas
...XIII. THEOR. In every triangle, the square of the side subtending either SeeN. of the acute angles, **is less than the squares of the sides containing that...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 - 1830 - 272 páginas
...21 (б) In every 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...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 - 1832 - 333 páginas
...QED B PROP. XIII. THEOR. In every triangle the square of the side subtending any of the acute angles, **is less than the squares of the sides containing that...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,... | |
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