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" If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. "
The Elements of Euclid [book 1] for beginners, by J. Lowres - Page 39
by Euclides - 1852
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...same parts, are also themselves equal and parallel. 4. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 5. The diameter С A of the parallelogram...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1878 - 398 pages
...the segments of the base. PROPOSITION XLVIII. THEOREM. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it, the angle contained by those sides is a right angle. a Let the sq. on BC, a side of A ABC,...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

Civil service - 1878 - 228 pages
...cut off from the other a segment of given length. 3. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. Construct a square that shall be the...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 pages
...triangle, etc. QED •III. Proposition XLVIII. Theorem. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. Let the square described upon BC,...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...triangle. Prove also the converse of this proposition. 4. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. Find a square equal to the difference...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...triangle EOD is one-sixth of the whole triangle ABC. 2. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. BAC is an isosceles triangle, AB being...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

Euclides, James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...the segments of the base. PROPOSITION XLVIII. THEOREM. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sidts of it, the angle contained by those sides is a right angle. 0 Let the sq. on BC, a side of...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...figure be equal, prove that it is a parallelogram. 3. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. Find a square equal to the difference...
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Papers for teachers

1880 - 594 pages
...parallelogram, the other sides will also be parallel. 2. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. What is the converse proposition ?...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 248 pages
...triangle BOD is one-sixth of the whole triangle ABC. 2. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. BAG is an isosceles triangle, AB being...
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