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" Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. "
Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 98
by Euclides - 1874
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Examinations Papers

1901 - 768 pages
...a given triangle, and prove that its area is a quarter of that of the given triangle. 3. Prove that the square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the sides. Prove that if two right-angled triangles have their hypotenuses...
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A Text-book of Physics

William Watson - Physics - 1902 - 951 pages
...6, as 9 increases from o to 90. Ans. sin 30 = .5 ; cos 60 = .5 ; tan 45=!. 3. Given that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other scales, prove that sin2 0 + cos3 9=i. 4. The angle subtended by...
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Euclid, His Life and System

Thomas Smith (D.D.) - Euclid's Elements - 1902 - 244 pages
...is analogous to that of pure and applied mathematics. We call it pure mathematics when we prove that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on its sides. We call it applied mathematics when we calculate the height of...
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Practical Plane and Solid Geometry for Elementary Students

Joseph Harrison - Geometry - 1903 - 300 pages
...semicircle (centre O) were described on AB, it would pass through C. This fact should be remembered. (b) The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two sides. — This is the famous theorem of Pythagoras, and it is one...
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School Algebra

John Marvin Colaw - Algebra - 1903 - 444 pages
...by its altitude. 60. The area of a circle is equal to the square of its radius multiplied by w. 61. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. 62. If 8 is the side and a the area of a square, what...
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Sessional Papers, Volume 37, Part 4

Ontario. Legislative Assembly - Ontario - 1905 - 1096 pages
...triangle. The compliments of the parallelograms about the diagonal of any parallelogram are equal. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides. If a straight line be divided into any two parts, the sum of the...
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Calendar

University of Sydney - 1905
...the corresponding theorem about parallelograms upon equal bases and between the same parallels. 4. The square on the hypotenuse of a right-angled triangle is equal to, &c. Complete this enunciation, and prove the theorem. The side of a square ABCD is 1 inch. X lies in...
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Annual Report of the Commissioners ..., Volume 70

1905 - 946 pages
...angles. Prove. 3. Parallelograms on equal bases and between the same parallels are equal. 4. Prove that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. 5. If a straight line be divided into two parts, the...
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Calendar of Queen's College and University, Kingston, Canada for the Year ...

Queen's University (Kingston, Ont.) - 1906 - 314 pages
...triangle. The complements of the parallelograms about the diagonal of. any parallelogram are equal. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides. If a straight line be divided into any two parts, the sum of the...
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Hindu Superiority: An Attempt to Determine the Position of the Hindu Race in ...

Har Bilas Sarda (Diwan Bahadur) - Hindus - 1906 - 454 pages
...: " In geometry there is much deserving of attention. We have here the celebrated proposition that the square on the hypotenuse of a right-angled triangle is equal to the squares on the sides containing the right angle and other propositions, which form part of the...
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