 | Robert Simson - Trigonometry - 1835 - 544 pages
...N. In every triangle, the square of the side subtending any oftJie acute angles, is less than t he 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... | |
 | Euclid - 1835 - 540 pages
...triangle, the square of the side subtending any of the acute angles, is less than the squares of t 'fie 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... | |
 | Mathematics - 1836 - 488 pages
...angle. XIII. 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 perperdicular, let fall upon it from the... | |
 | John Playfair - Geometry - 1836 - 148 pages
...XXVIII. 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 - 1837 - 332 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 either of these sides, and the straight line intercepted between the perpendicular, let fall upon it from the... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...XIII. Theorem. In every triangle, the square of the side -btending 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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...triangle, the square of the side subtending an acute angle, is less than the squares of the other sides, by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular drawn to that side from the... | |
 | Euclides - 1840 - 192 pages
...of a side (CB) subtending an acute angle, is less than the sum of the squares of the sides (CA, AB) containing that angle, by twice the rectangle contained by either of those sides (AB) and the part of it (AD) intercepted between the perpendicular (CD) let fall on it from the opposite... | |
 | Euclides - Geometry - 1841 - 378 pages
...PROP. XIII. THEOR. In every triangle, the square of the side subtending an acute angle, 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 acute angle and the perpendicular let fall... | |
 | John Playfair - Euclid's Elements - 1842 - 332 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 either of these sides, and the straight line intercepted between the perpendicular, let fall upon it from the... | |
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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... 
