 | Euclid - Geometry - 1892 - 460 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 - 486 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 - 894 pages
...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 - Euclid's Elements - 1895 - 708 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 - 348 pages
...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 - 824 pages
...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... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 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 - 898 pages
...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 - 488 pages
...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 - 188 pages
...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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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... 
