| Sandhurst roy. military coll - 1859 - 672 pages
...condition in italics is not fulfilled, where would the construction for this proposition fail ? 3. In **obtuse-angled triangles, if a perpendicular be drawn from either of the acute** nngles to the opposite side produced, the square of the side subtending the obtuse angle is greater... | |
| John Playfair - Geometry - 1860 - 332 pages
...the square of AH. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from any **of the acute angles to the opposite side produced,...squares of the sides containing the obtuse angle, by** twee the rectangle contained by the side upon which, when produced, the perpendicular falls, and the... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...square on AH. QEF • PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawtt **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... | |
| War office - 1861 - 714 pages
...other, the base of that which lias the greater angle shall be greater than the base of the other. 2. In **obtuse-angled triangles, if a perpendicular be drawn...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... | |
| War office - 1861 - 260 pages
...opposite sides and angles of parallelograms are equal to one another, and the diameter bisects them. 2. In **obtuse-angled triangles, if a perpendicular be drawn...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... | |
| Euclides - 1862 - 140 pages
...H, so that the rectangle AB . BH, is equal to the square on AH. QEF PROPOSITION 12.— THEOKEM. In **obtuse-angled triangles, if a perpendicular be drawn...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... | |
| Euclides - 1862 - 172 pages
...in H, so that the rectangle AB, BH, is equal to the square of AH. Q. R F. PROP. XII — THEOREM. In **obtuse-angled triangles, if a perpendicular be drawn...of the acute angles to the opposite side produced;** then the square of the side subtending the obtuse angle is greater than the squares of the sides containing... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 6. In **obtuse-angled triangles, if a perpendicular be drawn...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... | |
| Euclides - 1864 - 448 pages
...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... | |
| Robert Potts - 1865 - 528 pages
...divided in H, so that the rectangle AB, BHlB equal to the square on AH. QEF PROPOSITION X1L THEOREM. In **obtuse-angled triangles, if a perpendicular be drawn...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... | |
| |