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" If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. "
The Geometrical Companion, in which the Elements of Abstract Geometry are ... - Page 160
by George Darley - 1828 - 169 pages
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...right-angled triangle &c. QED PKOPOSITION 48. THEOREM. Jf the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. Let the square described...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...that the angle DAE is half the difference of B and C. 4. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. ABC is an isosceles triangle,...
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Papers for teachers

1880 - 594 pages
...Therefore DE is parallel to AB, ie, to FG. SECTION III. — If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. » The sum of the squares...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...I. 8 and I. 47 ; Axioms i and 2a. General Enunciation. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by those two sides is a right angle. Particular Enunciation. Given....
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...third. What is the reason for the limitation in the data ? 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...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...to one paper, but to make use of the whole set. (a) 1. If the square described 011 one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. Find a square which shall...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...equal bases, and between the same parallels, are equal. 7. 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 those sides shall be a right angle. 8. AC, one of the equal sides...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...triangle, &c. — QED PROPOSITION XLVIII., THEOREM 34. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. Let the square described...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...triangle can be divided into two isosceles triangles. 4. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 5. From the angles at the...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pages
...an oblong equal to one-fourth of the given triangle. 2. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. The sum of the squares on...
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