 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 contained by either of these sides, and the straight line intercepted between the perpendicular let...  The Cambridge Examiner - Page 2521884Full view - About this book
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...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,... | |
 | Euclides - 1871 - 136 pages
...— • " In oblique-angled triangles, the square on the side subtending the obtuse angle is greater than the squares on the sides containing that angle, by twice the rectangle contained by one of these sides and the projection of the other on it." The enunciation of Prop. xin. might be altered... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...: — " In oblique.angled triangles, the square on the side subtending the obtuse angle is greater than the squares on the sides containing that angle, by twice the rectangle contained by one of these sides and the projection of the other on it." The enunciation of Prop. xni. might be altered... | |
 | 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... | |
 | University of Madras - 1873 - 436 pages
...AD, 1)C is equal to the rectangle EB, BF. PART II. VII. In every obtuse angled triangle, prove that the square on the side subtending an acute angle is...straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. (a.) ABC is a triangle having the angle at... | |
 | Henry Major - Student teachers - 1873 - 588 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,... | |
 | Edward Atkins - 1874 - 426 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...straight 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... | |
 | Euclides - 1874 - 120 pages
...contains 5 units and 'JA 8 units, shew that BA wiU contain very nearly 12 units. PROPOSITION 13. THEOREM. In every triangle, the square on the side subtending...straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. j Q Let ABC be any triangle, and the angle... | |
 | 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... | |
| |
