 | E. J. Brooksmith - Mathematics - 1889 - 356 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 rectangle contained by the side on which, when produced, the perpendicular falls and the straight line intercepted without the triangle,... | |
 | Queensland. Department of Public Instruction - Education - 1890 - 526 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...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. [Total Marks obtainable, 75.]... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 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 rectangle contained by the side on which, when produced, the perpendicular falls and the straight line intercepted without the triangle... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 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 rectangle contained by the side on which when produced, the perpendicular falls, and the line inter cepted without the triangle, between... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 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 either of these sides, and the produced part of it intercepted between the perpendicular let fall on... | |
 | Euclid - Geometry - 1892 - 460 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 either of those sides, and the projection of the other side upon it. Prop. 13 may be written AC2=AB2+BC2-2CB.BD,... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | 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... | |
 | Education - 1899 - 824 pages
...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 side upon which when produced the perpendicular falls and by the straight line intercepted between the perpendicular and the obtuse angle. The sides of a triangle... | |
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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 of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the... 
