| Euclid, Charles Peter MASON - Geometry - 1872 - 216 pages
...Q on AB exceeds the sum of the Ds on AC and CB by twice the rect. AC, C D. PROPOSITION XIII. In any **triangle the square on the side subtending an acute angle is less than the** sum ot the squares on the sides containing that angle by twice the rectangle contained by either of... | |
| Henry Major - Student teachers - 1873 - 592 pages
...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...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 - 1874 - 342 pages
...PROPOSITION 13.— Theorem. In every triangle, the square on the side subtending either of the acute angles, **is less than the squares on 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,... | |
| Edward Atkins - 1874 - 428 pages
...twice the rectangle BC, CD. Therefore, in obtuse-angled triangles, &c. QED Proposition 13.— Theorem. **In every triangle, the square on the side subtending an acute angle is less** t/ian the squares on the sides containing that angle, by twice the rectangle contained by either of... | |
| Henry Major - 1876 - 784 pages
...square on the radius. 3. In every triangle, the square on the side subtending either of the acute angles **is less than the squares on 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. -, «• r, 1. Simplify... | |
| Education Department,London - 1876 - 1010 pages
...straight line which is made up of the half and the part produced. Male Candidates—First Year. 19 2. **In every triangle, the square on the side subtending an acute angle is less than the** squaies on the sides containing that angle by twice the rectangle contained by either of these sides... | |
| Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...within any equilateral figure upon its sides is the same, wherever the point be taken. (15). 28. In any **triangle, the square on the side subtending an acute...angle by twice the rectangle contained by either of** those sides and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
| D. Tierney - 1877 - 126 pages
...half the line. 5. In every triangle, the square on the side subtending either of the acute angles, **is less than the squares on 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. (Prove this for the case... | |
| Samuel H. Winter - 1877 - 452 pages
...greater than the base of the other. 11. In a triangle in which one angle is obtuse, the square on a **side subtending an acute angle is less than the squares...angle, by twice the rectangle contained by either of** those sides and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
| Āryabhaṭa - 1878 - 100 pages
...the side subtending either of the acute angles, is less than the squares of the sides contain' ing **that angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the** acute angle and the perpendicular drawn to it from the opposite angle. Let BCD be a triangle (above... | |
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