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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. "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 142
by Euclides - 1858
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...third sides will also be equal, and the triangles will be identical. PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle, be equal to tht squares described upon the other ttao sides of it; the angle contained bif these two sides is a...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...adjacent sides of the other, the angles of the parallelograms will also be equal. 3. If the square, described upon one of the sides of a triangle, be...the other two sides of it, the angle contained by those two sides is a right angle. If the square on the hypothenuse be fire times that on one of the...
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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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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...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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National Society's Monthly Paper

1857 - 408 pages
...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 triangle be equal...the other two sides of it, the angle contained by these two sides is a right angle. 5. If a straight line be divided into two equal parts, and also into...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...the value of the following to 4 places of decimals : — A/7 • VF3-1/7. Euclid. 1. If the square described upon one of the sides of a triangle be equal...upon the other two sides of it the angle contained by these two sides is a right angle. Voluntary Portion, 1. Describe a circle about a given triangle. 2....
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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...the other two sides of it ; the angle contained by these two sides is a right angle. 4. Any line drawn through the bisection of the diagonal of a parallelogram...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 1

Euclides - 1868 - 88 pages
...THEOR. If the squares described upon one of the tides of a triangle be equal to the squares deicruii upon the other two sides of it, the angle contained by the tico sides is a rt. angle. Cow. P. 11. 3. Pst. 1. DEM. Ax. 2. P. ¿7. Ax. 1. P. 8. EXP. CON. 1 Hyp....
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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...the other two sides of it, the angle contained by these two sides is a right angle. VOLUNTARY PORTION. 1. Describe an equilateral triangle about a given...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...the same 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...the other two sides of it, the angle contained by these two sides is a right angle. 9. The two triangles, formed by drawing straight lines from any point...
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