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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 Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...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...twice the rectangle contained by the side upon which, vchen produced, the perpendicular Jails, and the straight line intercepted without the triangle between...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 sider
...if a perpendicular be drawn from either of the two acute angles to the opposite side produced, 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 under the base and the distance...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 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 greater than the squares of I he sides containing the obtuse angle, by twice Ihe reel angle contained by the side upon which, when...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 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...of the sides containing the obtuse angle, by twice therectangle contained by tfie side upon which, when produced, the perpendicular falls, and the straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 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...perpendicular falls, and the straight line intercepted wit/tout the triangle between the perpendicular and the obtuse angle. Book II. 12. I. U4. 2. c 47....
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 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...side upon which, when produced, the perpendicular fulls, and the straight line intercepted without the triangle between the perpendicular and the obtuse...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 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...perpendicular falls, and the straight line intercepted between the perpendieu lar and the obtuse angle. XIII. In every triangle the square of the side subtending...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 311 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...twice the rectangle contained by the side upon which, tchen produced, the perpendicular falls, and the straight line intercepted between the perpendicular...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 sider
...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. Obs. This proposition is so short, and each step so necessary to the proof, that to attempt to simplify...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 sider
...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. 11. In acute-angled triangles, the square of the side subtending any of the acute angles is less than...
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