| Charles Davies - Geometrical drawing - 1846 - 254 pages
...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 - 432 pages
...contains 25 sq. ft. Hence, the square described on the hi/pothenuse of any right-angled triangle, is equal **to the sum of the squares described on the other two sides.** DBS. 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
...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... | |
| James Bates Thomson - Arithmetic - 1848 - 422 pages
...575-580.] SQUARE ROOT. 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... | |
| Almon Ticknor - Measurement - 1849 - 144 pages
...therefore AC, BD, are bisected at the point 0. Fig. 25. 26. 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.** (Pig. B) Fig. A. Let the triangle ABC be right-angled at A. Having described squares on the three,... | |
| Charles Davies - Trigonometry - 1849 - 384 pages
.... X E D ? GI D K 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 from A,... | |
| Charles Davies - Logic - 1850 - 390 pages
...proved for every figure of the class. symbols For example : when we prove that the square Example, **described on the hypothenuse of a right-angled triangle...sum of the squares described on the other two sides,** we demonstrate the fact for all right-angled triangles. But in analysis, all numbers, all lines, all... | |
| Charles Davies - Logic - 1850 - 375 pages
...class will be common to every indi- todlT * du- vidnal of the class. For example : " the square Eumpt*. **on the hypothenuse of a right-angled triangle is equivalent...of the squares described on the other two sides,"** is a proposition equally true of every right-angled triangle : and " every straight line perpendicular... | |
| 1851 - 716 pages
...particular case of this proposition is known as the Pythagorean : the square described upon the hypothenuse **is equivalent to the sum of the squares described on the other two sides.** As the unit of measure for the determination of the superficial relations of figures, we use a square... | |
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