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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... "
The Element of Geometry - Side 29
av John Playfair - 1836 - 114 sider
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The student's guide to the University of Durham, with information respecting ...

1880 - 160 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. 10. To describe a square that shall be equal to a given rectilineal figure. 11. Define a rectilineal...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 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. Show that the sum of the squares on the two diagonals of a parallelogram is equal to the sum of the...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 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,...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 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,...
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Report of Her Majesty's Civil Service Commissioners, Together with ..., Volum 24

Great Britain. Civil Service Commission - 1880 - 670 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,...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 sider
...oppotite tide produced, the square on the tide 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,...
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The Competitor, Volumer 3-4

1883 - 248 sider
...triangles if a perpendicular be drawn from any one of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is...produced, the perpendicular falls, and the straight lino intercepted without the triangle between the perpendicular and the obtuse angle. In any triangle...
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The Oxford examiner, ed. by M.W.I. Shilleto, Utgaver 1-5

Mary W I. Shilleto - 1882 - 418 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. The base BC of an isosceles triangle ABC is produced to a point D ; AD is joined, and in AI) a point...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 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,...
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The Competitor, Volumer 1-2

1882 - 486 sider
...obtuse-angled triangle, the square on the side subtending the obtuse angle exceeds the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of them, and its continuation to meet a perpendicular on it from the opposite angle. 7. If one...
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