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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... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Página 62
por John Playfair - 1819 - 333 páginas
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...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.]...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 páginas
...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,...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 páginas
...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...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892
...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...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding ..., Libro 2

James Andrew Blaikie, William Thomson - 1892
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1892 - 518 páginas
...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,...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894
...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,...
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Elements of Geometry: Plane and Solid

John Macnie - 1895 - 374 páginas
...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...
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Report of the Committee of Council on Education in Scotland...[without Appendix]

1899
...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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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1899
...produced ; show that 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 between the perpendicular...
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