 | Robert Simson - 1838 - 434 pàgines
...PROP. XIII. THEOR. Iir every triangle, the square of the side subtending any of the acute angles is less than the squares of the sides containing that...from the opposite angle and the acute angle.* Let BBC be any triangle, and the angle at B one of its acute angles, and upon BC one of the sides containing... | |
 | Euclides - 1840 - 82 pàgines
...XIII. THEOR. In any triangle, the square of a side subtending an acute angle is less than the sum of the squares of the sides containing that angle, by twice the rectangle contained by either of those sides and the part of it intercepted between the perpendicular let fall on it from the opposite... | |
 | Euclides - 1841 - 378 pàgines
...&c. QED 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...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,... | |
 | Euclides - 1842 - 316 pàgines
...сл, by twice the rectangle вc, CD. Therefore, in obtuseangled triangles, &c. QED PROP. XIII. THEOR. the sides containing that angle, by twice the rectangle...acute angle. Let ABC be any triangle, and the angle at в one of its acute angles, and upon в c, one of the sides containing it, let fall the perpendicular... | |
 | James Bates Thomson - 1844 - 268 pàgines
...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... | |
 | Euclides - 1845 - 546 pàgines
...XIII. 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...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 - 1846 - 128 pàgines
...THEOR. 13. 2 Ea. 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...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 - 1846 - 128 pàgines
...THEOR. 13. 2Eu. 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... | |
 | 1847 - 508 pàgines
...the other part. 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 - 1848 - 532 pàgines
...the squares of 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...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... | |
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In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the... 
