... subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... Science Examination Papers - Page 245by Great Britain. Education Department. Department of Science and Art - 1899Full view - About this book
| Robert Potts - 1865 - 528 pages
...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,...angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
| Architecture - 1865 - 276 pages
...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
| Euclides - 1865 - 402 pages
...sides containing the acute angle. 69. The square on the side subtending an obtuse angle of a triangle is greater than the squares on the sides containing the obtuse angle. 70. In the figure of Prop. i. 47 prove that if perpendiculars be let fall from F and K on BC prodnced,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 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 be less than the squares on the other two sides, the angle... | |
| 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... | |
| 1868 - 876 pages
...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...angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
| Robert Potts - 1868 - 434 pages
...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 angle,...angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and t/ie straight line intercepted without the... | |
| 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 - 1871 - 136 pages
...XIIL 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... | |
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