 | Euclides - Geometry - 1841 - 378 pages
...AH. 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 - 532 pages
...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 - 334 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
...is 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
...square 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 - 128 pages
...=2b(a + 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 - 128 pages
...(a + 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... | |
 | Euclides - 1848 - 52 pages
...square 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... | |
 | J. Goodall, W. Hammond - 1848 - 390 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... | |
 | 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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