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Libros Libros 61 - 70 de 176 sobre In obtuse-angled triangles, if a perpendicular be drawn from either of the acute...
" In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the 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... "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Página 67
por Euclid, Isaac Todhunter - 1867 - 400 páginas
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produved, the square on the side subtending the obtuse angle,...squares on the sides containing the obtuse angle, by twive the rectangle contained by the side upon which, when produved, the perpendicular falls, and the...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Robert Potts - 1864
...to the square on A HQBF 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 on the aide subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle,...
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SESSIONAL PAPERS OF THE ROYAL INSTITUTE OF BRITISH ARCHITECTS

Royal Institute of British Architects - 1865
...gnomon of a parallelogram ? 6. Prop. 12. 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...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Alexander Kennedy Isbister - 1865
...equal to the square of the other part. Prop. 12. 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 thau the squares of the sides containing the obtuse...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...line AB ii divided at H, so that the rectangle AB, BH is equal to the square on AH. QEF PKOPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular...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...
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Annual Report

1868
...triangle are together greater than the third side 20 4. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 páginas
...obtuse-angled triangles, if a perpendicular be drawn from either of the mute angles to the opposite tide produced, the square on the side subtending the obtuse...angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and t/ie straight line intercepted without the...
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Elementary Geometry, Volumen1

1868
...-2CBxBD (by Theorem 26). Therefore A C" = AB* + BC* - 2 CB x BD. THEOREM 31. In an obtuse-angled triangle the square on the side subtending the obtuse angle...is greater than the squares on the sides containing that angle by twice the rectangle contained by either of these sides and the projection on it of the...
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Papers for the schoolmaster, Volumen4

1868
...triangle, if a perpendicular be drawn from either of the acute angles to the opposite side prsrtuced, the square on the side subtending the obtuse angle is greater than the sqnares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse augle. 3. II. If a st. line be divided into any two parts, the rectangle contained by the whole and...
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