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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 Irish Law Times and Solicitors' Journal, Volum 38

1904 - 852 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. From...
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The Changing Shape of Geometry: Celebrating a Century of Geometry and ...

Chris Pritchard - 2003 - 572 sider
...obtuse-angled triangles, 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 one of the sides about the obtuse angle, namely that on which the perpendicular falls, and the straight...
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Euclid's Elements in Greek: Vol. I: Books 1-4

Richard Fitzpatrick - 2005 - 298 sider
...triangles, the square on the side subtending the obtuse angle is greater than the (sum of the) squares on the sides containing the obtuse angle by twice the (rectangle) contained by one of the sides around the obtuse angle, to which a perpendicular (straight-line) falls, and the (straight-line)...
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The Surveyor, Volumer 21-22

1908 - 608 sider
...of the squares on the sides forming the obtuse angle by twice the rectangle contained by the side on which when produced the perpendicular falls and the...triangle between the perpendicular and the obtuse angle. 5. AB is the diameter of a circle. Any chord AP is produced to meet the tangent at В in Q ; show that...
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Annual Report - Dept. of Education

Saskatchewan. Department of Education - 1913 - 202 sider
...greater than the sum of the squares on the other sides by twice the rectangle contained by the side on which, when produced, the perpendicular falls and...triangle between the perpendicular and the obtuse angle. (6) Give a method for determining whether a triangle whose sides are known is obtuse, right or acute...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897 - 710 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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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 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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Examination,Midsummer,1879

Education Department - 1879 - 1118 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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Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

Peter M. Engelfriet - 1998 - 516 sider
...obtuse-angled triangles 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 one of the sides about the obtuse angle, namely that on which the perpendicular falls, and the straight...
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Minutes of the Committee of Council on Education, Volum 2

Great Britain. Committee on Education - 1850 - 904 sider
...upon the same ba*e, and between the same parallels, are equal. 3. In an obtuse angled triangle, the square of the side subtending, the obtuse angle is greater than the sum of the squares of the sides containing it by twice the rectangle, contained by the base and the...
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