 | 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.... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | 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... | |
 | William Stanley Jevons - Philosophy - 1880 - 370 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... | |
 | 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.... | |
 | 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... | |
 | 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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This sub-division shows that the square on the hypotenuse of the above right-angled triangle is equal to the sum of the squares on the sides containing the right angle. 
