| University of Oxford - Greek language - 1879
...explain the terms ex aequali, alternando. 9. 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... | |
| Moffatt and Paige - 1879
...square 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...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
...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 - 266 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
...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,... | |
| Euclid, F. B. Harvey - Geometry - 1880 - 119 pages
...in 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...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
...the 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...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
...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... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880
...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... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 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... | |
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