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" 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. "
Science Examinations ... Reports, Etc - Side 251
1906
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Suggestive Hints Towards Improved Secular Instruction: Making it Bear Upon ...

Richard Dawes - 1849 - 228 sider
...string, this forms a right-angled triangle. The boys have learned that the sum of the squares of the two sides containing the right angle is equal to the square on the third side, the teacher will tell them, for instance, to draw a line between the point marked six feet...
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School Economy: A Practical Book on the Best Modes of Establishing and ...

Jelinger Cookson Symons - 1852 - 216 sider
...this forms a right-angled triangle. The boys having learned that the sum of the squares of the two sides containing the right angle is equal to the square on the third side, the teacher will tell them, for instance, to draw a line between the point marked six feet...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 sider
...angles. 4. 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. Consider the case of a rectangle, from which a rectangular piece, at one of the angles, is taken away....
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Suggestive Hints Towards Improved Secular Instruction: Making it Bear Upon ...

Richard Dawes - 1857 - 272 sider
...string, this forms a right-angled triangle. The boys have learned that the sum of the squares of the two sides containing the right angle is equal to the square on the third side, the teacher will tell them, for instance, to draw a line between the point marked six feet...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 sider
...the Side of a Square. It is a Geometrical Principle, that the sum of the squares of the sides about a right angle is equal to the square on the side opposite the right angle. Take a square having 10 for its side ; the square on one side is equal to 100 ; the square on the other...
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Loftus's Inland Revenue Officers' Manual ...

William Harris Johnston - 1865 - 478 sider
...on the other two sides," that is, the square on the side opposite to the right angle equals in area the sum of the squares on the sides containing the right angle. From this property, (as established by Euclid, Book I., Prop. 47,) it follows that the hypotenuse must...
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The Substitution of Similars: The True Principle of Reasoning, Derived from ...

William Stanley Jevons - 1869 - 134 sider
...of our principle. To prove that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the sides containing the right angle, Euclid takes only a single example of such a triangle, and proves this to be true. He then trusts to...
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 sider
...equal. 3. 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. Show how to construct a straight line, the square on which shall be any given multiple of a given square....
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A Treatise on Arithmetic

James Hamblin Smith, Thomas Kirkland - 1877 - 376 sider
...we know that in a right.angled triangle the square on the side opposite the right angle is equal to the sum of the squares on the sides containing the right angle. Hence the square o/the measure of the side opposite the right angle is equal to the sum of the squares...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 sider
...equal. 3. 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. Show how to construct a straight line, the square on which shall be any given multiple of a given square....
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