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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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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...opposite sides meet in a point. SECTION IV. 1. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...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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Class lessons on Euclid

Marianne Nops - 1882
...AB. Wherefore the straight line, &c. — QEF PROPOSITION XII., THEOREM. In obtuse-angled triangles the square on the side subtending the obtuse angle...is greater than the squares on the sides containing it, by twice the rectangle contained by one of those sides and the projection of the other upon it,...
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The Competitor, Volumes 1-2

1882
...in an 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. If one...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...12. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute anglet to the 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...
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Hermathena, Volume 4

Humanities - 1883
...the sum of the squares on the sides which contain the acute angle ; (e}. In an obtuse-angled triangle the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing it ; (/). In an isosceles triangle whose vertical angle...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...about its diameter will also be a rhombus. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...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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Cambridge University Examination Papers

University of Cambridge - 1884
...angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...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 3

Education - 1884
...square on half the line. Prop, s, Bk. H. 3. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...subtending the obtuse angle is greater than the squares containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced,...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...AB, BH is equal 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 square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse...
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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
...angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...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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