| Horatio Nelson Robinson - 1860 - Liczba stron: 453
...square on a side opposite an acute angle is less than the sum of the squares on the other two sides, **by twice the rectangle contained by either of these sides, and the** distance from the vertex of the acute angle to the foot of the perpendicular let fall on this side,... | |
| Woolwich roy. military acad - 1861
...right angles. 8. In every triangle the square of the side subtending 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.** In any triangle shew that the sum of the squares of the two sides is equal to twice the square of half... | |
| War office - 1861
...In an acute-angled triangle show that the square of the side subtending one 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, and the straight line intercepted between the acute angle and the perpendicular let fall... | |
| Euclides - 1862
...THEOREM. In every triangle, the square on the side subtending an acute angle, is less than the squares on **the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall** on it from the opposite angle, and the acute angle. (References— Prop. I. 12, 16, 47; II. 3, 7, 12.)... | |
| Euclides - 1862
...the squares of the sides containing that angle, by tenet the rectangle contained by either of those **sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite** anyle, and the acute angle. (References — Prop. i. 16,47; H. 3, 7, 12.) Let ABC be any triarglp,... | |
| University of Oxford - 1863
...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...sides, and the straight line intercepted between the** acute angle and the perpendicular let fall upon it from the opposite angle. 3. Describe an equilateral... | |
| Woolwich roy. military acad - 1864
...1 9. In every triangle the square on the side subtending an acute angle is less than the squares on **the sides containing that angle by twice the rectangle...line intercepted between the perpendicular let fall** on it from the opposite angle and the acute angle. Demonstrate the proposition in the case where the... | |
| Euclides - 1864
...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...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 - 1864
...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...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 - 1865
...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...angle, by twice the rectangle contained by either of** those sides, and the straight line intercepted between the perpendicular let faU upon it from the opposite... | |
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