| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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