| Robert Simson - Trigonometry - 1806 - 518 pages
...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 angle, by twice the rectangle contained by either of** these sides, and the straight line intercepted between the perpendicular let fall upon it from the... | |
| John Mason Good - 1813
...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 angle, by twice the rectangle contained by either of** these sides, and the straight line intercepted between the perpendicular let fall upon it from the... | |
| John Playfair - Euclid's Elements - 1819 - 333 pages
...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 angle, by twice the rectangle contained by either of** these sides, and the straight line intercepted between the perpendicular, let fall upon it from the... | |
| John Mason Good - 1819 - 740 pages
...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 angle, by twice the rectangle contained by** eithei of these sides, and the straight line ”ntercepuJ between the perpendicular let fall upon it... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...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 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... | |
| Henry Parr Hamilton - Geometry, Analytic - 1826 - 326 pages
...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 angle, by twice the rectangle contained by either of** these sides, and the straight line intercepted between the perpendicular let fall upon it from the... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...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 angle, by twice the rectangle contained by either of** these sides, and the straight line intercepted between the perpendicular let fall upon it from the... | |
| 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 angle to that side.... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...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 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... | |
| Mathematics - 1835
...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 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... | |
| |