| James Bates Thomson - Geometry - 1844 - 268 pages
...subtending either of the acute angles, is less than the sum of the squares of the other two sides, **by twice the rectangle contained by either of these...upon it from the opposite angle, and the acute angle.** PROPOSITION XIII. THEOREM. In a triangle ABC, if the angle C is obtuse, the square of the opposite... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...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...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,... | |
| Euclides - 1845 - 546 pages
...THEOREM. In every triangle, the square of the side subtending either of the acute angles, is less than the **squares of the sides containing that angle, by twice...sides, and the straight line intercepted between the** acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...In every triangle^ the square of the side sub-tending either of the acute angles, is less than the **squares of the sides containing that angle, by twice...upon it from the opposite angle, and the acute angle.** Prop. 46. Prop. 39. Prop. is. P J, 47 Fig. 1. A BDC 1st. When GEOMETRY. Fig. 2. A Fig. 3. A BC D BC... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...In every triangle^ the square of the side sttbtending either of the acute angles, is less than the **squares of the sides containing that angle, by twice the rectangle contained by either** oj these sides, and the straight line intercepted between the perpendicular let fall upon it from the... | |
| Education - 1847 - 508 pages
...2. In every triangle the square 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** those sides, aud the straight line intercepted between the acute angle and the perpendicular let fall... | |
| Great Britain. Council on Education - Education - 1848 - 532 pages
...half the line. 2. In any triangle the square of the side subtending any acute angle is less than the **squares of the sides containing that angle by twice...upon it from the opposite angle and the acute angle** ; prove only the first case of this proposition. Section 4. 1. Construct a triangle whose area shall... | |
| Great Britain. Committee on Education - Education - 1848 - 514 pages
...half the line. 2. In any triangle the square of the side subtending any acute angle is less than the **squares of the sides containing that angle by twice...upon it from the opposite angle and the acute angle** ; prove only the first case of this proposition. Section 4. 1. Construct a triangle whose area shall... | |
| Euclides - 1848 - 52 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...sides, and the straight line intercepted between the** acute angle and the perpendicular let fall upon it from the opposite angle. PROP. XIV. PROBLEM. BOOK... | |
| Great Britain. Council on Education - Education - 1848 - 596 pages
...of the side subtending either of the acute angles is less than tbe square of the sides containing it **by twice the rectangle contained by either of these...sides, and the straight line intercepted between the** acute angle and the perpendicular let fall upon it from the opposite angle. (The first case only of... | |
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