| Euclides - Geometry - 1853 - 334 pages
...divided in K, as was required. Which was to be done. PEOP. XII. THEOE. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the squares of the sides including the obtuse angle, by twice the rectangle contained by either of those sides, and the straight... | |
| Thomas Lund - Geometry - 1854 - 520 pages
...obtuse-angled triangle if a perpendicular be drawn from the vertex of either of the acute angles upon the opposite side produced, the square of the side subtending the obtuse angle is greater than the sum of the squares of the sides forming the obtuse angle by twice the rectangle contained by the side... | |
| William Somerville Orr - Science - 1854 - 534 pages
...of the side (AB) subtending thf ebtuse angle is greater than the squares of the sides (В С, С А) containing the obtuse angle, by twice the rectangle contained by the side upon which, when prolonged, the perpendicular falls, and the line, without the triangle, between the perpendicular and... | |
| Robert Potts - 1855 - 1050 pages
...a - 6)' = 2 (6 + c) 1 . 2. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square...which, when produced, the perpendicular falls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle. ABC... | |
| John Playfair - Geometry - 1855 - 334 pages
...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, the square...obtuse angle is greater than the squares, of the sides contammg the obtuse angle, by twice the rectangle contained by the side upon which, when produced,... | |
| Euclides - 1855 - 270 pages
...continually. PROP. XIL THEOREM. 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 tubtending the obtuse angle, ii greater than the squares of the sides containing the obtuse angle,... | |
| Euclides - 1856 - 168 pages
...D. LV.— EUCLID II. 12. In obtuse angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square...which, when produced, the perpendicular falls, and the straight line intercepted between the perpendicular and the obtuse angle. Let ABC (Fig. 42) be a triangle... | |
| W F. Richards - Elementary school teaching - 1856 - 198 pages
...contained by the parts. 6. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square...which, when produced, the perpendicular falls, and the straight line intercepted .without the triangle between the perpendicular and the obtuse angle. .7.... | |
| 1856 - 376 pages
...contamed by the parts. 6. In obtuse-angled triangles if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square...which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 7. Equal... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...double of the triangle. 9. ln obtuse.angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square...which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 10.... | |
| |