 | Moffatt and Paige - 1879 - 506 pages
...on A H. QEF Proposition XII. Theorem. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...the side subtending the obtuse angle is greater than thi squares on the sides containing the obtuse angle by twice the rectangle contained by the side upon... | |
 | Edward Harri Mathews - 1879 - 94 pages
...squares. 2. In obtuse angled triangles, if a perpendicular be drawn from either of the acute angles on the opposite side produced, the square on the side subtending the obtuse angle is greater than the square on the sides containing the obtuse angle, by twice the rectangle contained by the side on which,... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...the other sides. Let BAC be an acute angle, then Make AD = AC, and at right angles to AB (I. 22). 22. The square on the side subtending the obtuse angle, is greater than the squares on the other sides. 23. Any side of a triangle is greater than the difference between the other two. 24. Two... | |
 | Education Ministry of - 1880 - 248 pages
...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 produced,...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Great Britain. Civil Service Commission - 1880 - 660 pages
...rectangle contained by OB and ОС. 6. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...H, us required. QEF PROP. XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...log 15650 = 4-1945143, log 15651 = 4-1945421. c 2 MATHEMATICS. (2.) 1. In any obtuse-angled triangle, the square on the side subtending the obtuse angle is greater than the sum of the squares on the other two sides, by twice the rectangle contained by one of the sides, and... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...sides containing the acute angle. 127. The square on the side subtending an obtuse angle of a triangle is greater than the squares on the sides containing the obtuse angle. 128. If the square on one side of a triangle be less than the squares on the other two sides, the angle... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...equal to the squares of the four sides. 4. 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... | |
 | Education Ministry of - 1882 - 302 pages
...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 produced,...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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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... 
