 | Woolwich roy. military acad - 1861 - 572 páginas
...at 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...sides and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. In any triangle shew that... | |
 | War office - 1861 - 260 páginas
...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 upon it from the opposite angle. 3. Show that the angle in a semicircle is a right angle,... | |
 | Euclides - 1862 - 140 páginas
...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...sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. (References— Prop. I.... | |
 | University of Oxford - 1863 - 316 páginas
...the other part. 11. 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 perpendicular let fall upon it from the opposite angle, and the acute angle. V. Algebra. 1. If a =... | |
 | Euclides - 1864 - 262 páginas
...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...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle, and the angle at B one of its acute... | |
 | Euclides - 1864 - 448 páginas
...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...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle, Let ABC be any triangle, and the angle at B one of its acute... | |
 | Woolwich roy. military acad - 1864 - 588 páginas
...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...sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. Demonstrate the proposition... | |
 | Euclides - 1865 - 402 páginas
...obtuse angle. Prop. 13. In every triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Prop. 14. To describe a square that shall be equal to a given... | |
 | Robert Potts - 1865 - 528 páginas
...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...intercepted between the acute angle and the perpendicular let Jail upon it from the opposite angle. Let ABC be any triangle, and the angle at B one of its acute... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...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...sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be any triangle,... | |
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Therefore, in obtuse-angled triangles, &c. QED PROP. 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... 
