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" If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle. "
A Text-book of Geometrical Deductions - Page 138
by James Andrew Blaikie, William Thomson - 1891
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...SECTION II. 1. If the square described on one side of a triangle be equal to the squares described on the other two sides, the angle contained by these two sides is a right angle. 2. If a straight line be divided into two equal, and also into two unequal parts,...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...and 75 yds. long, and are at right angles to one another. PROP. 48. THEOR. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides of it, the angle contained by these two sides is a right angle. Given...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...on the sides containing the obtuse angle. 128. If the square on one side of a triangle be less than the squares on the other two sides, the angle contained by these sides is an acute angle ; if greater, an obtuse angle. 129. A straight line is drawn intersecting the...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...does the proposition become ? 5. If the square on one side of a triangle be greater than the sum of the squares on the other two sides, the angle contained by these two sides is obtuse. (Converse of II. 12.) 6. If the square on one side of a triangle be less than the sum of...
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The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...equilateral. An equilateral triangle is always isosceles. A scalene triangle has no two sides equal. Can one side of a triangle be equal to the sum of the other two ? Can it be greater ? Thus, the triangle ABC is scalene. 4. Any side of a triangle may be...
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Dublin examination papers

Dublin city, univ - 1885 - 476 pages
...calculate the length of the perpendicular from the rigut angle on the hypotenuse. 1. If the square of one side of a triangle be equal to the sum of the squares of the remaining sides, the angle opposite to that side is a rifiht angle ? 2. Prove the proposition...
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Calendar of Dalhousie College and University

Dalhousie University - 1885 - 230 pages
...order, the sum of the exterior angles of the polygon is equal to four right angles. 2. If the square of one side of a triangle be equal to the sum of the squares of the other two sides, the angle contained by these shall be a right angle. 3. If a straight line...
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The Irish Law Times and Solicitors' Journal, Volume 24

Law - 1890 - 958 pages
...tbe same right line, and on the same side of tbe line, are between the same parallels. 2. Prove that if the square on one side of a triangle be equal to the sum of the squares on tbe remaining sidep, tbe angle opposite to that side is a right angle. 3. Find a line whose square...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...THEOREM. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides, the angle contained by these two sides is a right angle. Let the sq. described on BC, one of the sides of A ABC, be equal to the sqs. described...
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Examinations Papers

1891 - 718 pages
...parallelogram there are drawn parallels to the sides, they cut off a pair of equal parallelograms. 3. If the square on one side of a triangle be equal to the sum of the squares on the other sides the angle contained by the latter is a right angle. 4. If a straight line is divided...
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