| Adrien Marie Legendre - Geometry - 1838 - 384 pages
...PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right angled triangle is equivalent **to the sum of the squares described on the other two sides.** • Let the triangle ABC be right angled at A. Having described squares on the three sides, let fall... | |
| Charles Davies - Geometrical drawing - 1840 - 252 pages
...degrees, and 4=90 degrees. 10. In every right angled triangle, the square described on the hypothenuse, is **equal to the sum of the squares described on the other two sides.** Thus, if ABC be a right angled triangle, right angled at C, then will the square D described on AB... | |
| Scotland free church, gen. assembly - 1847 - 552 pages
...straight line falls upon two other parallel straight lines, it makes the alternate angles equal. 2. **If the square described on one of the sides of a triangle...sum of the squares described on the other two sides,** these sides contain a right angle. 3. Divide a given line into two parts, so that the rectangle contained... | |
| Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...PROP. VII. THEOREM. The square described on the hypotenuse of a right-angled triangle is equivalent **to the sum of the squares described on the other two sides.** Let the triangle be Fig. 64. KDI, right angled at I. Describe squares on KD, KI, DI ; then we have... | |
| James Bates Thomson - Geometry - 1844 - 237 pages
...BC^AB'-f-AC". Therefore, The square described on the hypolhcnuse of a right-angled triangle, is equivalent **to the sum of the squares described on the other two sides.** Cor. 1. Hence, by transposition, the square of one of the sides of a right-angled triangle is equivalent... | |
| Charles Davies - Geometrical drawing - 1846 - 254 pages
...right-angled triangle equal to ? In every right-angled triangle, the square described on the hypothenuse, is **equal to the sum of the squares described on the other two sides.** Thus, if ABC be a rightangled triangle, right-angled at C, then will the square D, described on AB,... | |
| James Bates Thomson - Arithmetic - 1846 - 336 pages
...principle in geometry, that the square described on the hypothenuse of a right-angled triangle, is **equal to the sum of the squares described on the other two sides.** (Leg. IV. 11. Euc. I. 47.) Thus if the base of the triangle ABC is 4 feet, and the perpendicular 3... | |
| James Bates Thomson - Arithmetic - 1847 - 434 pages
...contains 25 sq. ft. Hence, the square described on the hypothenuse of any right-angled triangle^ is **equal to the sum of the squares described on the other two sides.** OBS. Since the square of the hypothenuse BC, is 25, it follows that the , or 5, must be the hypothenuse... | |
| James Bates Thomson - Arithmetic - 1847 - 424 pages
...10342656. 30. 34967ft-. 371 578. The square described on the hypothenuse of a rightangled triangle, is **equal to the sum of the squares described on the other two sides.** (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The truth of this principle may be seen from the following... | |
| Education - 1847 - 508 pages
...and towards the same parts, are between the same parallels. 3. If the square described upon one side **of a triangle be equal to the sum of the squares described** upon the other two sides of it, the angle contained by these two sides is a light angle. SECTION Il.... | |
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