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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. "
Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ... - Σελίδα 118
των Euclides - 1864
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A Text-book of Physics

William Watson - 1902 - 1022 σελίδες
...and Ian 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...

School Algebra

John Marvin Colaw - 1903 - 444 σελίδες
...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...

Practical Plane and Solid Geometry for Elementary Students

Joseph Harrison (A.M.I.C.E.) - 1903 - 300 σελίδες
...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...

Annual Report of the Commissioners ..., Τόμος 70

1905 - 946 σελίδες
...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...

Calendar of the University of Sydney

University of Sydney - 1905 - 718 σελίδες
...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...

Sessional Papers, Τόμος 37,Μέρος 4

Ontario. Legislative Assembly - 1905 - 1096 σελίδες
...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...

Hindu Superiority: An Attempt to Determine the Position of the Hindu Race in ...

Har Bilas Sarda (Diwan Bahadur) - 1906 - 506 σελίδες
...adds : " 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...

Calendar of Queen's College and University, Kingston, Canada for the Year ...

Queen's University (Kingston, Ont.) - 1906 - 314 σελίδες
...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...

Balancing of Engines, Steam, Gas, and Petrol: An Elementary Text-book, Using ...

Archibald Sharp - 1907 - 246 σελίδες
...of the body were concentrated at, and moved with, the same linear velocity as its mass-centre. Since the . square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on its sides, the linear energy of a body is the sum of its component linear...

School Algebra, Τόμος 1

William Ernst Paterson - 1908 - 614 σελίδες
...227 159. Equations of second degree, Type III (extended). = 0. By using Pythagoras' Theorem, viz. ' 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 ', we can prove that the graph of an...




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