| Civil service - 366 sider
...the square of the straight line which is made up of the half and the part produced. PEOP. XII. — In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
| War office - 1861 - 714 sider
...given rectilineal figure and have an angle equal to a given rectilineal angle. 3. In obtuse angled triangles, if a perpendicular be drawn from either...acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
| University of Oxford - 1863 - 328 sider
...half the line bisected and of the square of the line made up of the half and the part produced. 10. In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
| Euclides - 1864 - 448 sider
...divided in H, so that the rectangle AB, BH is equal to the square on AH. QEF PROPOSITION XII. THEOREM. 2n obtuse-angled triangles, if a perpendicular be drawn...from either of the acute angles to the opposite side produved, the square on the side subtending the obtuse angle, is greater than the squares on the sides... | |
| 1865 - 276 sider
...5. What is the definition of the gnomon of a parallelogram ? 6. Prop. 12. Theorem. In obtuse angled triangles, if a perpendicular be drawn from either...acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
| Euclides - 1865 - 402 sider
...II. 1. D. On the Relations between the Sides of a Triangle and the Perpendicular from the Vertet. 1. In obtuse-angled triangles, if a perpendicular be...from either of the acute angles to the opposite side prodnced, the square on the side subtending the obtuse angle is greater than the squares on the sides... | |
| Euclid, Isaac Todhunter - 1867 - 426 sider
...to the 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 - 1867 - 424 sider
...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... | |
| James Maurice Wilson - 1868 - 132 sider
...-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 sider
...the whole and that part, together with the square of the other part. 3. In an obtuse angled 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... | |
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