| Woolwich roy. military acad - 1861 - 572 pages
...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 angle by twice...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 - 260 pages
...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 - 140 pages
...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 - 172 pages
...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 - Education, Higher - 1863 - 316 pages
...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 - 588 pages
...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 - 262 pages
...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 - 448 pages
...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,... | |
| Robert Potts - 1865 - 528 pages
...triangle, the square on the side subtending eitJter of the acate 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 Jail upon it from the opposite angle. Let ABC be any triangle,... | |
| Euclides - 1865 - 402 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 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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