 | Education - 1850 - 488 pages
...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 - 152 pages
...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 - 1853 - 176 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 - 400 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...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 - 176 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 - 146 pages
...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 - 134 pages
...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 - 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... | |
 | Euclides - 1855 - 262 pages
...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... | |
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In obtuse-angled triangles, if a perpendicular be 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 angle, by twice the... 
