| 1903
...of the squares on the sides forming the obtuse angle by twice the rectangle contained by the side on **which, when produced, the perpendicular falls, and...triangle, between the perpendicular and the obtuse angle.** AD, BE, and CF are perpendiculars from the vertices of a triangle ABC upon the opposite sides. Show... | |
| Euclid - Euclid's Elements - 1904 - 456 pages
...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** one of those sides, and the projection of the other side upon it. The Enunciation of Prop. 12 thus... | |
| University of Sydney - 1906
...triangle, the square on the 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** either of the sides containing the obtuse angle and the projection of the other upon it. The sides... | |
| Lawrence Robert Dicksee - Accounting - 1907 - 110 pages
...triangle the square on the 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** one of those sides and the projection of the other side upon it. Q. 8. — Prove that the opposite... | |
| Euclid - Mathematics, Greek - 1908
...obtuse-angled triangles the square on the side subtending the obtuse angle is greater than the squares on **the sides containing the obtuse angle by twice the rectangle contained by** one of the sides about the obtuse angle, namely that on which the 26 — 2 perpendicular falls, and... | |
| John Adams - Education - 1918 - 428 pages
...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...triangle, between the perpendicular and the obtuse angle** ; but he did not know this fact in the portable form az = bz + cz — 2 be cos A, and failing this,... | |
| Law - 1904
...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. 7. From... | |
| Mathematical Association, Mathematical Association of America - Mathematics - 2003 - 541 pages
...obtuse-angled triangles, the square on the side subtending the obtuse angle is greater than the squares on **the sides containing the obtuse angle by twice the rectangle contained by** one of the sides about the obtuse angle, namely that on which the perpendicular falls, and the straight... | |
| Richard Fitzpatrick - Mathematics - 2005 - 296 pages
...triangles, the square on the 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** one of the sides around the obtuse angle, to which a perpendicular (straight-line) falls, and the (straight-line)... | |
| Surveying - 1908
...of the squares on the sides forming the obtuse angle by twice the rectangle contained by the side on **which when produced the perpendicular falls and the...triangle between the perpendicular and the obtuse angle.** 5. AB is the diameter of a circle. Any chord AP is produced to meet the tangent at В in Q ; show that... | |
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