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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... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 96
by Robert Potts - 1860 - 361 pages
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The English Journal of Education, Volume 4

Education - 1850
...together equal to the square of the whole line. 3. In obtuse-angled 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 greater than the squares of the sides containing the obtuse...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...square of 8.] OF EUCLID. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the sides subtending the obtuse angle is greater than the squares of the sides containing the obtuse...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 147 pages
...opposite side produced, the square of the side subtending the obtuse angle is greater tJian the squares of the sides containing the obtuse angle, by twice the...side upon which, when produced, the perpendicular jails, and the straiglit line intercepted without the triangle between the perpendicular and the obtuse...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, by twice the...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Geometry - 1853 - 317 pages
...opposite side produced, the square of the side 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 pwduced, the perpendicular falls, and the straight line intercepted between the perpendicular and the...
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The Sydney University Calendar

University of Sydney - Universities and colleges - 1853
...opposite to this latter side is a right angle. 7. In obstuse angled 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 greater than the squares of the sides containing the obtuse...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...AH. Which was to be done. PROP. XII. THEOREM. In obtuse-angled 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 greater than the squares of the sides containing the obtuse...
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 136 pages
...and the segment between the perpendicular and the base is equal in area to the square on the base. ( The square on the side subtending the obtuse angle is greater than the sum of the squares on the two sides which contain the obtuse angle, by double the rectangle under the...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - Science - 1854
...of the side (AB) subtending thf ebtuse angle is greater than the squares of the sides (В С, С А) containing the obtuse angle, by twice the rectangle contained by the side upon which, when prolonged, the perpendicular falls, and the line, without the triangle, between the perpendicular and...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...difference, and so on continually. PROP. XIL THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side tubtending the obtuse angle, ii greater than the squares of the sides containing the obtuse...
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