| 1906 - 502 pages
...few correct solutions ; not many selected this question. Q. 12. Show that in a right-angled triangle **the sum of the squares on the sides containing the right angle** is equal to the square on the side opposite the right angle. Construct a square so that its area may... | |
| William Ernst Paterson - Algebra - 1908 - 614 pages
...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 equation of the form is a circle and can show how the centre and... | |
| James Welton, Alexander James Monahan - Logic - 1911 - 544 pages
...therefore a proprium. That the ' square on the hypotenuse of a right-angled triangle is equal in area to **the sum of the squares on the sides containing the right angle** ' is also a proprium, because it is an attribute common to all right-angled triangles, which can be... | |
| William Hepworth, J. Thomas Lee - Railroad engineering - 1922 - 432 pages
..._ triangle the square on the hypothenuse, flC-V-2. or side opposite to the right angle, is equal to **the sum of the squares on the sides containing the right angle.** ¥L, 4. (Fig. 3). Similar triangles are those which have their angles equal each to each, and thus... | |
| Sylvia Townsend Warner - Boys - 1927 - 270 pages
...equation, there they pointed out to each other with admiration that the square on the hypotenuse equalled **the sum of the squares on the sides containing the right angle** ; here was one delighting in a rhomboid and another in conic sections ; that enraptured figure had... | |
| Morris Kline - Mathematics - 1990 - 434 pages
...Proposition 47. In right.angled triangles the square on the side subtending the right angle is equal to **the sum of the squares on the sides containing the right angle.** This is of course the Pythagorean theorem. The proof is made by means of areas, as in many high school... | |
| Asger Aaboe - History - 1963 - 154 pages
...right-angled triangles the square on the side subtending the right angle (ie the hypotenuse^) is equal to **(the sum of) the squares on the sides containing the right angle.** Euclid's proof is as follows: On the three sides of a right triangle ABC (<£C = 90°) squares are... | |
| T. A. Sarasvati Amma - Geometry - 1999 - 304 pages
...Pythagoras (c. 540 BC) connecting the square on the hypotenuse or diagonal of a rectangular triangle with **the sum of the squares on the sides containing the right angle.** Perhaps the first statement of this theorem in its most general geometrical form is ancient India's... | |
| Sylvia Townsend Warner - Fiction - 2001 - 252 pages
...equation, there they pointed out to each other with admiration that the square on the hypotenuse equalled **the sum of the squares on the sides containing the right angle;** here was one delighting in a rhomboid and another in conic sections; that enraptured figure had secured... | |
| Catherine Jami, Peter Mark Engelfriet, Gregory Blue - History - 2001 - 481 pages
...theorem reformulated numerically as "gou squared added togw squared, etc." instead of the Euclidean **"the sum of the squares on the sides containing the right angle".** Next, it is stated that on the basis of this relation it is possible to find the third quantity when... | |
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