 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...square on AH. QEF PKOPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular lie drawn from either of the acute angles to the opposite side produced, the square on the side subtending the,obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...sides containing the acute angle. 127. The square on the side subtending an obtuse angle of a triangle is greater than the squares on the sides containing the obtuse angle. 128. If the square on one side of a triangle bo less than the squares on the other two sides, the angle... | |
 | Robert Potts - 1868 - 434 pages
...obtuse-angled triangles, if a perpendicular be drawn from either of the mute angles to the opposite tide produced, the square on the side subtending the obtuse...which, when produced, the perpendicular falls, and t/ie straight line intercepted without the triangle between the perpendicular and the obtuse angle.... | |
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...-2CBxBD (by Theorem 26). Therefore A C" = AB* + BC* - 2 CB x BD. THEOREM 31. In an obtuse-angled triangle 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 either of these sides and the projection on it of the... | |
 | 1868 - 344 pages
...triangle, if a perpendicular be drawn from either of the acute angles to the opposite side prsrtuced, the square on the side subtending the obtuse angle is greater than the sqnares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...and XIH. of Book II. Thus the enunciation of Prop. xn. might be : — " 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... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...In an obtuse-angled triangle the square on the side subtending the obtuse angle exceeds the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of them and the distance between a perpendicular drawn to that side produced from the opposite... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...is equal to the square of AIL XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side sub' tending the obtuse angle, is greater than the squares of the sides containing the... | |
 | Edward Atkins - 1874 - 426 pages
...on AH. QEF Proposition 12. — Theorem. In obtuse-angled triangles if a perpendicular be drawn from either of the acute angles to the opposite side produced,...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without th« triangle,... | |
 | Euclides - 1874 - 120 pages
...section.' medial PROPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the staight line intercepted without the triangle,... | |
| |
In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the... 
