| 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 - 522 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 - 532 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
...(c + 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...perpendicular falls, and the straight line intercepted** without the triangle, between the perpendicular and the obtuse angle. ABC is a triangle having a right... | |
| Euclides - 1855 - 262 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,... | |
| 1856 - 376 pages
...rectangle 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...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. 7. Equal straight lines in a circle... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...the square of the whole line. 7. In obtuse-angled triangles if a perpendicular be drawn from any of **the acute angles to the opposite side produced, the...perpendicular falls and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. 8. If in a circle two straight... | |
| W. F. RICHARDS - Education, Primary - 1856 - 198 pages
...rectangle 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...perpendicular falls, and the straight line intercepted** .without the triangle between the perpendicular and the obtuse angle. .7. Equal straight lines in a... | |
| JOHN GRAY - 1857 - 784 pages
...sides of a triangle are together greater than the third side. the squares of the sides containing it **by twice the rectangle contained by the side upon...perpendicular falls, and the straight line intercepted** with the triangle between the perpendicular and the obtuse angle. 3. A straight line is drawn from... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 690 pages
...part produced. 8. PROP. XII. In obtuse-angled triangles, if a perpendicular be drawn from either of **the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC,... | |
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