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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 first book of Euclid's Elements, simplified, explained and illustrated ... - Page 109
by Euclides - 1847
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...diagonal of a quadrilateral bisect the other, it divides the quadrilateral into two equal triangles. 4. If the square described upon one of the sides of a triangle lie equal to the squares described upon the other two sides of it, prove that the angle contained by...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - Geometry, Modern - 1890 - 252 pages
...equal to the squares described on the sides which contain the right angle (Euc. I. 47). 68. TSEOR. 13. If the square described upon one of the sides of a...angle contained by these two sides is a right angle (Euc. I. 48). 69. TTEOR. i4. The angle in a semicircle is a right angle (Euc. III. 31;. PROBLEMS. 70....
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...shall be greater than the base of the other. _ 6. If the square described upon one of the sides of a 7 triangle be equal to the squares described upon the...angle contained by these two sides is a right angle. 7. If a straight line be divided into two equal parts, and 11 also into two unequal parts, the rectangle...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...arrange them in the several ways, here indicated. PROPOSITION 48. 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...
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Annual Report of the Chief Superintendent of Education

1891 - 718 pages
...that if the opposite angles of a Quadrilateral be equal, the Quadrilatéral is a Parallelogram. 4. If the square described upon one of the sides of a...the other two sides of it, the angle contained by those two sides is я right angle. 5. If a straight line be divided into any two parts, the square...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...equal to the squares described on the sides containing the right angle. 48. 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. BOOK II. 1. If there...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...are OC and CD ; that is, AB and BC. Lesson No. 22 PROPOSITION 48. THEOREM 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...
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Special Reports on Educational Subjects, Volumes 6-7

Great Britain. Board of Education - Education - 1900 - 906 pages
...11. If the square described on one of the sides of a triangle bo equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 12. The ends of a rope FJDF are to Ije tied to two rafters Ali. AC, so that its parts ED and FD (of...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 566 pages
...11. If the square described on one of the sides of a triangle bo equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 12. The ends of a rope ED F uro to be tied to two rafters AB, AC, so that its parts ED and FD (of given...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...square described on one of the sides of a triangle is 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. 4. Prove that if a straight line be divided into any two parts, the squares on the whole line, and...
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