| Education - 1850
...equal to the square of the whole line. 3. 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 subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
| Euclides - 1852
...square of 8.] OF EUCLID. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from **either of the acute angles to the opposite side produced, the square** of the sides subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
| Euclides - Geometry - 1853 - 147 pages
...opposite side produced, the square of the side subtending the obtuse angle is greater tJian the squares of **the sides containing the obtuse angle, by twice the...side upon which, when produced, the perpendicular** jails, and the straiglit line intercepted without the triangle between the perpendicular and the obtuse... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of **the sides containing the obtuse angle, by twice the...side upon which, when produced, the perpendicular** fulls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse... | |
| Euclid, John Playfair - Geometry - 1853 - 317 pages
...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of **the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when** pwduced, the perpendicular falls, and the straight line intercepted between the perpendicular and the... | |
| Euclid - Geometry - 1853 - 136 pages
...and the segment between the perpendicular and the base is equal in area to the square on the base. ( **The square on the side subtending the obtuse angle is greater than the** sum of the squares on the two sides which contain the obtuse angle, by double the rectangle under the... | |
| Euclides - 1853
...Which was to be done. PROP. XII. 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 subtending the obtuse angle, is greater than the squares of the sides containing the obtuse... | |
| University of Sydney - Universities and colleges - 1853
...this latter side is a right angle. 7. In obstuse angled triangles, if a perpendicular be drawn from **either of the 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... | |
| William Somerville Orr - Science - 1854
...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... | |
| Euclides - 1855
...so on 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... | |
| |