| William Stanley Jevons - Logic - 1896 - 304 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... | |
| James Welton - Logic - 1896
...proprinm ; 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,... | |
| Sir Walter Besant - 1898 - 317 pages
...guess—who could possibly imagine 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** ? Not even the sharpest woman ever created would arrive at such a conclusion without proofs. In law... | |
| Sir Walter Besant - 1898 - 317 pages
...guess—who could possibly imagine 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** ? Not even the sharpest woman ever created would arrive at such a conclusion without proofs. In law... | |
| Sir Walter Besant - 1898 - 317 pages
...guess—who could possibly imagine 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** ? Not even the sharpest woman ever created would arrive at such a conclusion without proofs. In law... | |
| Francis Campin - Bridges - 1898 - 280 pages
...frequently used formulae 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... | |
| Rudolf von Caemmerer - Military art and science - 1905 - 277 pages
...and from •which one can draw further conelusions. 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, whcther the right-angled triangle is large or small, whcther its vertex is... | |
| J. W. Riley - Technology & Engineering - 1905 - 500 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",... | |
| Queensland. Dept. of Public Instruction - Education - 1907
...formula, and prove the theorem. 4. In a right-angled triangle, the square on the hypotenuse is equal to **the sum of the squares on the sides containing the right angle.** Draw the figure and gire direction« for a eonstmctvm necessary and sufficient for the proof of th-is... | |
| Asger Aaboe - Mathematics - 1997 - 384 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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