 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...  The Element of Geometry - Side 29av John Playfair - 1836 - 114 siderUten tilgangsbegrensning - Om denne boken
 | Robert Potts - 1860 - 361 sider
...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...triangle between the perpendicular and the obtuse angle. Let-4-BCbe an obtuse-angled triangle, having the obtuse angle A CB, and from the point A, let AD be... | |
 | Euclides - 1860
...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...triangle between the perpendicular and the obtuse angle. . , Given an obtuse-angled triangle ABC, having the obtuse angle ACB, and from the point A let AD be... | |
 | John Playfair - 1860 - 317 sider
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is...squares of the sides containing the obtuse angle, by twee the rectangle contained by the side upon which, when produced, the perpendicular falls, and the... | |
 | War office - 1861
...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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | War office - 1861 - 12 sider
...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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | Woolwich roy. military acad - 1861
...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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Euclides - 1862
...if a perpendicular be drawn from either of the acute angles to the opposite side produced; then the square of the side subtending the obtuse angle is...triangle between the perpendicular and the obtuse angle. (References — Prop. i. 47 ; n. 4.) Let ABC be an obtuse-angle triangle, having the obtuse angle ACB;... | |
 | Euclides - 1862
...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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | University of Oxford - 1863
...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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | 1865
...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...triangle between the perpendicular and the obtuse angle. 7. Prop. 14. — Theorem. To describe a square equal to a given rectilineal figure. SECOND DAY.—... | |
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