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" ... 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 produced, the perpendicular falls, and the straight line intercepted without the triangle... "
The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ... - Página 45
por W. Davis Haskoll - 1858 - 324 páginas
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 páginas
...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 angle,...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 páginas
...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 angle,...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 Element of Geometry

John Playfair - 1836 - 114 páginas
...to the opposite side produced, tht square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle,...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 páginas
...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 angle,...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 páginas
...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 angle,...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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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 páginas
...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 angle,...triangle, between the perpendicular and the obtuse angle. Obs.—While it is, of course, not to be expected, that the pupils can express the result of a demonstration...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 páginas
...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 angle,...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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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...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 angle,...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 páginas
...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 angle,...perpendicular falls, and the straight line intercepted between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 páginas
...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 angle,...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn...
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