| John Playfair - Euclid's Elements - 1860 - 317 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 - 361 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
...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...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 - 12 pages
...the simple interest of 3£ per cent, yearly? 10. Extract the square root of -0006780816. EUCLID. 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
...in 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...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
...divided 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...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... | |
| Robert Potts - 1864
...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... | |
| Alexander Kennedy Isbister - 1865
...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 - Euclid's Elements - 1867 - 400 pages
...to the square on AH. QEF PROPOSITION 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...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... | |
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