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" In a right-angled triangle the square on the side subtending the right angle is equal to the sum of the squares on the sides containing the right angle. "
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 59
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages
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Geometry: Our Cultural Heritage

Audun Holme - Mathematics - 2002 - 408 pages
...to Euclid. In right angled triangles the square on the side subtending the right angle is equal to the (sum of the) squares on the sides containing the right angle. The parenthesis is tacitly assumed in the Elements. The last proposition of Book I is I.48, which is...
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Complex Numbers and Vectors

Les Evans - Electronic books - 2006 - 178 pages
...Pythagoras' theorem: In a right-angled triangle, the square on the side opposite the right angle equals the sum of the squares on the sides containing the right angle. Using lemma 1: BA = a - b BC = cb ~AC = ca Complex Numbers and Vectors Using Thales' theorem: BC =...
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The New Geometry: Form One

G. P. West - Geometry - 1965 - 362 pages
...27. [THE THEOREM OF PYTHAGORAS.] In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. THEOREM 28. [CONVERSE OF PYTHAGORAS' THEOREM.] If a triangle is such that the square on one side is...
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A Shorter Geometry

464 pages
...THEOREM OF PYTHAGOKAS 128 THEOREM 5. In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6. If a triangle is such that the...
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Elementary Geometry Plane (Classic Reprint)

James McMahon - 2018 - 244 pages
...sub-division shows that the square on the hypotenuse of the above right-angled triangle is equal to the sum of the squares on the sides containing the right angle. (A tiled pavement often shows this fact very clearly.) fig. 185. BOOK II 1 Ex. 1O16. Construct a right-angled...
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The Surveyor, Volumes 25-26

Surveying - 1912 - 638 pages
...+ xy' = 30 (c) 2X = 5, given log ,02 = 0-30103 15 marks. 4. Prove that in any right-angled triangle the sum of the squares on the sides containing the right angle is equal to the square of the hypotenuse. 8 marks. 5. If two circles cut one another, and the tangents...
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Cambridge Intermediate Mathematics

298 pages
...that BD bisects AC. 6. Prove that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. 7. Prove that equal chords in a circle are equidistant from the centre. A chord 3 inches long lies...
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Transactions, Volume 13

Actuarial Society of America - Insurance - 1912 - 466 pages
...Show that in any right angled triangle the square on the side subtending the right angle is equal to the sum of the squares on the sides containing the right angle. (&) Construct a square whose area shall be twice the area of a given square. Hence show how to represent...
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Calendar

University of St. Andrews - 1896 - 610 pages
...greater than CD. 10. Prove that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides containing the right angle. Show that in a right-angled triangle twice the sum of the squares on the three medians (the straight...
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The Bombay University Calendar, Volume 2

University of Bombay - 1910 - 362 pages
...that 2СЛ - AP + BQ. 5. In ar t ht- angled triangle the square on the hypotenuse ig equal to 13 the sum of the squares on the sides containing the right angle. P is point inside a rectangle ABCD. Prove that— PA* + PC* - PB> + PB1. SBPTIOIT II. 6. fcTiew...
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