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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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Science Examinations ... Reports, Etc

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...
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School Algebra, Volume 1

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...
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An Intermediate Logic

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...
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Railway Permanent Way: Dimensional Theory and Practice. A Manual for ...

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...
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Mr. Fortune's Maggot

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...
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Mathematical Thought from Ancient to Modern Times: Volume 1

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...
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Episodes from the Early History of Mathematics, Volume 13

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...
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Geometry in Ancient and Medieval India

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...
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Mr. Fortune's Maggot: And, The Salutation

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...
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Statecraft and Intellectual Renewal in Late Ming China: The Cross-Cultural ...

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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