| 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... | |
| 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 =... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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