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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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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...; therefore the whole square BE is equal to the sum of the squares BG, C H. XLVII.— EUCLID I. 48. If the square described upon one of the sides of a triangle be equal to the sum of the squares described on the two other sides, the angle contained by these two sides is a right...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...parts. What distinction is there between a parallelogram and a rhomboid? 4. If a 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. If a right...
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National Society's Monthly Paper

1857 - 408 pages
...other. 3. The opposite sides and angles of a parallelogram are equal, and its diagonal bisects it. 4. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. 5. If a straight line be divided into two equal parts, and also into two unequal parts, the reptangle...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...two interior angles upon the same side together equal to two right angles. 3. PROP. XL VII I. — It the square described upon one of the sides of a triangle,...angle contained by these two sides is a right angle. 4. Any line drawn through the bisection of the diagonal of a parallelogram to meet the sides is bisected...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...side together equal to two right angles. 3. PROP. XL VIII. — If the square described upon one t>f the sides of a triangle, be equal to the squares described...angle contained by these two sides is a right angle. 4. Any line drawn through the bisection of the diagonal of a parallelogram to meet the sides is bisected...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...horizontal level differs from the level of the earth's curvature. PROP. 48. — THEOR. If the squares described upon one of the sides of a triangle be equal...the other two sides of it, the angle contained by the two sides is a rt. angle. CONSTRUCTION. — P. 11. To draw a st. line at rt. angles to a given...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...other, the base of that which has the greater angle shall be greater than the base of the other. • 3. If the square described upon one of the sides of a triangle is equal to the squares described upon the other two sides of it, the angle contained by those sides...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...the same direction are together equal to four right angles. 2. If the square described upon one side of a triangle be equal to the squares described upon...angle contained by these two sides is a right angle. VOLUNTARY PORTION. 1. Describe an equilateral triangle about a given circle. 2. "What is meant by the...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...and AC, therefore the square on BC is equal to the squares on BA and AC. PROPOSITION XLVTH. THEOREST. If the square described upon one of the sides of a...angle contained by these two sides is a right , angle. Given the square described upon BC, one of the sides of the triangle ABC, equal to the squares upon...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...other ; the base of that which has the greater angle shall be greater than the base of the other. 3. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. 4. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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