| Henry Martyn Taylor - 1893 - 486 pages
...line may be equal to the square 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,... | |
| Great Britain. Education Department. Department of Science and Art - 1894 - 892 pages
...unity by adding the same quantity to 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, the square** on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...line may be equal to the square 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... | |
| John Macnie - Geometry - 1895 - 386 pages
...A~p,2^J3C~ + PC* + AP* — 2 rect. BC-PC. (Ax. 2) PROPOSITION XIII. THEOREM. 351. In an obtuse triangle, **the square of the side subtending the obtuse angle is greater than the** sum of the squares of the other sides by twice the rectangle of either of these sides and the projection... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...in medial 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, the square** on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing... | |
| 1903
...quadrilateral formed by joining these points within 1 per cent. Or, 2A. Show that 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 squares on the sides forming the... | |
| 1903 - 188 pages
...SINCLAIR 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, the square** on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse... | |
| Alberta. Department of Education - Education - 1911 - 226 pages
...sum of the squares on the segments, the straight line is bisected. 9 5. 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 subtending the obtuse angle is greater than the squares on the sides containing the obtuse... | |
| University of South Africa - Universities and colleges - 1913 - 768 pages
...it from the opposite angle, and the acute angle. In an obtuse-angled triangle, if a perpendicular is **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 sum of the squares on the sides containing... | |
| John Adams - Education - 1918 - 448 pages
...in a quarter of the time. He might be thoroughly convinced, and able to convince the world, that in **obtuse-angled triangles if a perpendicular be drawn...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... | |
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