 | Euclides - 1862 - 140 pages
...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
...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 - 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,... | |
 | 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,... | |
 | 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
...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... | |
 | John Playfair - Geometry - 1855 - 350 pages
...triangle the square of the sid* subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...perpendicular, let fall upon it from the opposite angle,andthe acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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. Let ABC be any triangle, and the angle at B an... | |
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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... 
