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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 of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 62
by John Playfair - 1819 - 333 pages
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...opposite side produced, the square on the side subtending the obtuse angle it greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the tide on which, when produced, the perpendicular falls, and the straight line intercepted without the...
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The Civil service year book and official calendar

1884 - 266 pages
...are equal to one another. 7. In obtuse.angled triangles, if a perpendicular be drawn from any one of the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted, without the triangle, between the perpendicular and the obtuse angle. In any triangle, if a straight...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...to the square of AH. . — In obtuse-angled triangles, if a perpendicular be drawn from, either of the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle,...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884 - 146 pages
...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...perpendicular falls, and the straight line intercepted without the triacgle between the perpendicular and the obtuse angle. (b) If the triangle be isosceles,...
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The Practical Teacher, Volume 3

Education - 1884 - 708 pages
...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...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 3. A rhombus is a parallelogram,...
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Cambridge University Examination Papers

University of Cambridge - 1884 - 624 pages
...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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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...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 Practical Teacher, Volume 4

Education - 1885 - 630 pages
...opposite sideproduced, 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 upon which, when produce-!, the perpendicular falls, and the straight line intercepted without the triangle between...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pages
...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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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...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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