 | Isaac Todhunter - 1866 - Liczba stron: 206
...demonstration it should be remarked that it is shewn in Euclid i. 47, that the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the sides; and it is known that the geometrical square described on any straight... | |
 | Joseph Ray - 1857 - Liczba stron: 358
...AB being the base, BC the perpendicular, and AC the hypotenuse. ART. 290. It is a known principle, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. REVIEW. — 287. What is tho rule for square root? NOTES. How proceed... | |
 | Horatio Nelson Robinson, Daniel W. Fish - 1868 - Liczba stron: 390
...be solved by the use of the two following principles, which are demonstrated in geometry. 1st. Tlie square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2d. The areas of two circles are to each other as the squares of... | |
 | Emerson Elbridge White - 1870 - Liczba stron: 350
...The other two sides are called the Base and the Perpendicular. (Art. 155.) 419. PRINCIPLES. — 1. The square of the hypotenuse of a, right-angled triangle is equal to the sum of the squares of the other two sides. This principle, which may be proven by geometry, is illustrated... | |
 | Horatio Nelson Robinson, Daniel W. Fish - 1858 - Liczba stron: 378
...may be solved by the use of the two following principles, which are demonstrated in geometry. 1st. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2d. The areas of two circles are to each other as the squares of... | |
 | Shelton Palmer Sanford - 1872 - Liczba stron: 404
...base, AC the perpendicular, and BC the hypotenuse. ART. 336. It is an established princijJe af Geometry that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. This is illustrated by the diagram B on the right. By counting... | |
 | James Gracey Murphy - 1873 - Liczba stron: 360
...preliminary step to method, which is in fact the synthesis of that which has been duly analysed. The theorem that the square of the hypotenuse of a right-angled triangle is equal to the sum of th' e squares of the other two sides may be regarded as the crowning achievement of the first book... | |
 | Daniel W. Fish - 1874 - Liczba stron: 320
...solved by the use of the following principle, which is demonstrated in geometry. 423. PRINCIPLE. — The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. WRITTEN EXERCISES. 1. The two sides of a right-angled triangle... | |
 | James McCosh - 1874 - Liczba stron: 484
...Julius Cfesar lived, or that Jesus Christ died and rose again, or those by which we come to be assured that the square of the hypotenuse of a right-angled triangle is equal to the square of the other two sides. But in all such regressions we must at last come back to something... | |
 | John Homer French - 1876 - Liczba stron: 358
...Geometrical Principles, but the illustration is not an analysis of the principle. Geometrical ^Principles. I. The square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the other two sides. II. The diameter of a circle : the circumference : : 113 : 855.... | |
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Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. 
