| Robert Simson - Trigonometry - 1835 - 513 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 - 472 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 - 114 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 - Geometry - 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 - 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 - 194 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 - 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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