 | Scotland free church, gen. assembly - 1847 - 554 σελίδες
...makes the alternate angles equal. 2. If the square described on one of the sides of a triangle be equal to the 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... | |
 | James Bates Thomson - 1844 - 268 σελίδες
...the other two sides; in other words, 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 - 1846 - 254 σελίδες
...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 - 1846 - 354 σελίδες
...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 - 1847 - 432 σελίδες
...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 - 1847 - 426 σελίδες
...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 - 1848 - 434 σελίδες
...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 - 1849 - 156 σελίδες
...D, respectively equal to 0 C, 0 B, and therefore AC, BD, are bisected at the point 0. Fig. 25. 26. The square described on the hypotenuse of a right-angled...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 - 1849 - 372 σελίδες
.... 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, on the hypothenuse,... | |
 | Charles Davies - 1850 - 402 σελίδες
...figure of the class. For example: when we prove that the square Eumpi*. described on the hypothenuse of a right-angled triangle is equivalent to the 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... | |
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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. 
