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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. "
Elements of geometry, based on Euclid, books i-iii - Page 53
by Edward Atkins - 1876 - 119 pages
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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
...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 to the squares...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
...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 is a right angle. If the two exterior angles at the base of a triangle are bisected by...
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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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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...straight line, and towards the same parts, are between the same parallels. 8. If the square described upon one of the sides of a triangle be equal to the squares...angle contained by these two sides is a right angle. 9. The two triangles, formed by drawing straight lines from any point within a parallelogram to the...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...BC is equal to the squares on BA and AC. PROPOSITION XLVTH. THEOREST. If the square described upon one of the sides of a triangle be equal to the squares...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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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...upon the same side together equal to two right angles. PKOP. XL VIII. — If the square described upon one of the sides of a triangle, be equal to the squares...angle contained by these two sides is a right angle. Any line drawn through the bisection of the diagonal of a parallelogram to meet the sides is bisected...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...Therefore, in any right-angled triangle, &o. CI.ED PROPOSITION XLVHI. THEOREM. If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two tide3 of it ; the angle contained by these two tides is a right angle. Let the square described upon...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pages
...square root of (1) 154- 157056, (2) 13 to four decimal places. Euclid. 1. If the square described upon one of the sides of a triangle be equal to the squares...angle contained by these two sides is a right angle. 2. Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 pages
...the coefficient of ** in the expansion of ( I + 3# + 4z*) 9. If the square described upon one side 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. Given two straight lines, construct the rhombus of which they are the...
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