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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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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...any right-angled triangle the square described on the •ide subtending the right angle is equal to the sum of the squares on the sides containing the right angle. Show how two given squares may be cut into pieces which will fit together to form a new square. 2....
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Pure Logic and Other Minor Works

William Stanley Jevons - Logic - 1890 - 346 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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Memories of a Student

Algernon Taylor - 1895 - 350 pages
...his 47th proposition, viz. that in a right-angled triangle the square on the hypothenuse is equal to the sum of the squares on the sides containing the right angle. Pursuing his labours in collecting, arranging, and formulating, Euclid so systematized the subject...
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Studies in Deductive Logic: A Manual for Students

William Stanley Jevons - Logic - 1896 - 344 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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A Manual of Logic, Volume 1

James Welton - Logic - 1896 - 504 pages
...proprium ; whilst, that ' the square on the hypothenuse of a right-angled triangle is equal in area to the sum of the squares on the sides containing the right angle ' is a proprium ; for it is an attribute common to all right-angled triangles, and which can be shown,...
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Iron & Steel Bridges and Viaducts: A Practical Treatise Upon Their ...

Francis Campin - Bridges - 1898 - 414 pages
...frequently used formula? are those applying to right.angled triangles (Euclid, book i., prop. 47), in which the sum of the squares on the sides containing the right angle is equal to that of hypothenuse which is opposite to it. For example, let the length of a bracing bar...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...the length of the hypotenuse, and ascertain whether or no the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. See fig. 186. Ex. 1O16. Eepeat Ex. 1015 taking 4'3 cm. and (>';", cm. as the sides containing the right...
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Manual

1903 - 898 pages
...3. In a right-angled triangle prove that the square on the side opposite the right angle is equal to the sum of the squares on the sides containing the right angle. 4. ABC is any triangle. A parallelogram BGDE is drawn on the opposite side of BC to A. Through A a...
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The Development of Strategical Science During the 19th Century

Rudolf von Caemmerer - Military art and science - 1905 - 302 pages
...build and from which one can draw further conclusions. The square on the hypotenuse is always equal to the sum of the squares on the sides containing the right angle ; that remains always true, whether the right-angled triangle is large or small, whether its vertex...
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A Manual of Carpentry and Joinery

J. W. Riley - Carpentry - 1905 - 522 pages
...angled triangle the square on the side {the hypotenuse) opposite the right angle is equal in area to the sum of the squares on the sides containing the right angle. [Euclid I. 47.] Thus, in Fig. 154, which is a right angled triangle, Assuming the sides to be 5", 4",...
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