| Euclid - Geometry - 1892 - 518 pages
...obtuse.angled triangle the square on the side opposite the obtuse angle is greater than the sum of **the squares on the sides containing the obtuse angle by twice the rectangle contained by** either of those sides, and the projection of the other side upon it. Prop. 13 may be written AC2=AB2+BC2-2CB.BD,... | |
| Henry Martyn Taylor - 1893 - 504 pages
...on the part produced. PROPOSITION 12. In an obtuse-angled triangle, if a perpendicular be drawn from **either of the acute angles to the opposite side produced, the square on the side** opposite the obtuse angle is greater than the sum of the srjuares on tlte other sides, by twice tite... | |
| Great Britain. Education Department. Department of Science and Art - 1894
...each of its terms. B. 27. Show that in an obtuse angled triangle, 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,... | |
| Henry Martyn Taylor - 1895 - 657 pages
...on the part produced. PROPOSITION 12. In an obtuse-angled triangle, if a perpendicular be drawn from **either of the acute angles to the opposite side produced, the square on the side** opposite the obtuse angle is greater than the sum of tJie squares on the other sides, by twice the... | |
| Great Britain. Education Department. Department of Science and Art - Examinations - 1899
...from one of the acute angles of an obtuse-angled triangle to the opposite side produced ; show that **the square on the side subtending the obtuse angle...angle by twice the rectangle contained by the side** on which, when produced, the perpendicular falls, and the straight line intercepted between the perpendicular... | |
| Education - 1899
...the problem may have a solution. 3. In obtuse-angled triangles, if a perpendicular be drawn from any **of the acute angles to the opposite side produced,...side subtending the obtuse angle is greater than the** sum of the squares on the sides containing the obtuse angle, bv twice the rectangle contained by the... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 304 pages
...section at A. PROPOSITION 12. THEOREM. In an obtuse.angled triangle, if a perpendicular is drawn from **either of the acute angles to the opposite side produced,...side subtending the obtuse angle is greater than the** sum of the squares on the sides containing the obtuse angle, by twice the rectangle contained by the... | |
| Education - 1900
...AC, and CN ie drawn perpendicular to AB, show that BC1 = 2AB . BN. 7. G. In an 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 either of these sides,... | |
| 1901
...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. 4. Prove... | |
| 1903
...SCHOLARSHIP EXAMINATION. I. (a) Shew that in an obtuse-angled triangle, if a perpendicular is drawn from **either of the acute angles to the opposite side produced,...on the sides containing the obtuse angle, by twice** a certain rectangle. (ft) Shew that, if from any point outside a circle, a tangent and a secant be... | |
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