| Euclides - 1841 - 378 pages
...Which was to be done. PROP. XII. THEOR. In obtuse-angled Mangles, if a perpendicular be dratcn 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... | |
| Perry Fairfax Nursey - Industrial arts - 1843
...Eu.) it is.— " The square of the side subtending the obtuse angle is greater than the squares of **the sides containing the obtuse angle, by twice the rectangle contained by** one of the sides about the obtuse angle, and the line intercepted without by a perpendicular to it... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of **the sides containing the obtuse angle, by twice the rectangle contained by the side** uponwhich, when produced, the perpendicular falls, and the straight line intercepted between the perpendicular... | |
| Education - 1844 - 688 pages
...equal to the square of half the line. 7. 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... | |
| Euclides - 1845 - 544 pages
...of AH. QE r. PROPOSITION XII. THEOREM. 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... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...b+ a 8 . PROP. XLVII. THEOR. 12. 2 Eu . 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... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...b} + a'. PROP. XLVII. THEOR. 12. 2 Eu. 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... | |
| J. Goodall, W. Hammond - 1848 - 388 pages
...between the points of section. 3. Prove that 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... | |
| Euclides - 1848 - 52 pages
...of the other part. PROP. XII. THEOREM. 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... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of **the sides containing the obtuse angle, by twice the rectangle contained by the** Me upon which, when produced, the perpendicular falls, and the straight line intercepted without the... | |
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