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" 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. "
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 59
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...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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Loftus's Inland Revenue Officers' Manual ...

William Harris Johnston - 1865 - 478 pages
...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 - Analogy - 1869 - 134 pages
...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 pages
...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 - Arithmetic - 1877 - 376 pages
...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 pages
...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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Studies in Deductive Logic: A Manual for Students

William Stanley Jevons - Logic - 1880 - 372 pages
...opposite two are parallel. (3) 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. (4) The swallow is a migratory bird. (5) Axioms are self-evident truths. 5. Classify the following...
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An Introduction to the Ancient and Modern Geometry of Conics: Being a ...

Charles Taylor - Mathematics - 1881 - 512 pages
...Pythagoras, and not by his name." a. 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. In honour of this great discovery, as also on some other occasions, Pythagoras is related to have offered...
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The Doctrine of Germs, Or, The Integration of Certain Partial Differential ...

Samuel Earnshaw - Differential equations, Partial - 1881 - 602 pages
...Pythagoras, and not by his name." a. 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, In honour of this great discovery, as also on some other occasions, Pythagoras is related to have offered...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pages
...THURSDAY, May 21, 1885. 9 to 12. 1. IN any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. From the right angle of a right-angled triangle a perpendicular is let fall on the hypotenuse. Prove...
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