 | 1850 - 488 pagina’s
...together 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 pagina’s
...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 pagina’s
...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 - 1853 - 400 pagina’s
...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 - 1853 - 336 pagina’s
...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... | |
 | University of Sydney - 1853 - 134 pagina’s
...opposite to 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... | |
 | Euclides - 1853 - 146 pagina’s
...AH. 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... | |
 | Euclid - 1853 - 176 pagina’s
...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... | |
 | William Somerville Orr - 1854 - 534 pagina’s
...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 - 270 pagina’s
...difference, and 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... 
