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

Archibald Sharp - Internal combustion engines - 1907 - 212 pages
...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...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...? 3. Have the hypotenuse and a side of an isosceles rightangled triangle a common unit of measure ? (The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two sides.) 4. Express the ratio between the two magnitudes in each of...
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School Algebra

William Ernst Paterson - Algebra - 1908 - 604 pages
...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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Elementary Algebra

Jacob William Albert Young, Lambert Lincoln Jackson - Algebra - 1908 - 462 pages
...using 1.7321 as л/3. 39. Find the side of an equilateral triangle whose altitude is 9 л/3 in. 40. The square on the hypotenuse of a right.angled triangle is equal to the sum of the squares on the other two sides. Express this relation in the form of an equation, using...
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Principles of Logic

George Hayward Joyce - Logic - 1908 - 446 pages
...experience of the individual case, such as ' This book is bound in cloth,' and propositions such as, ' The square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the remaining sides.' Neither of these, Kant tells us, can be discovered...
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Elementary Science Applied to Sanitation and Plumbers' Work

A. Herring-Shaw - 1910 - 288 pages
...parallelogram shall be double that of the triangle. Thus in Fig. 4, ABCD = twice ABC, and EFGH=twice EFJ. (5) The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other sides. (Euc. I., 47.) Thus in Fig. 5, the square CEDE = the square...
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Elements of Business Arithmetic

Anson Hardin Bigelow, William Allen Arnold - Business mathematics - 1911 - 296 pages
...hypotenuse of the triangle with those on the other two sides. These illustrate the geometrical truth, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. PROBLEMS FIND THE SQUARE ROOT OF: 1. 4225 4. 53,361...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...divides OP in a constant ratio. Find the locus of Q as P moves along the given line. 6. Prove that the square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the sides. Two rectangles inscribed in a circle are equal in area. Prove...
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1032 pages
...numerical values of x", to two places of decimals. SECTION II. 5. Prove the theorem of Pythagoras that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on its sides. Draw a square ABCD, side 3 inches. With centres A, B, C, D in...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912
...numerical values of x*, to two places of decimals. Section IT. 5. Prove the theorem of Pythagoras that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on its sides. Draw a square ABCD, side 3 inches. Calculate to two places of...
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