| 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... | |
| 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.... | |
| 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... | |
| 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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