 | Isaac Todhunter - Plane trigonometry - 1866 - 206 pages
...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 - Arithmetic - 1857 - 358 pages
...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 - Arithmetic - 1868 - 390 pages
...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 - Arithmetic - 1870 - 350 pages
...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 - Arithmetic - 1858 - 378 pages
...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 - Arithmetic - 1872 - 404 pages
...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 - Brain - 1873 - 360 pages
...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 - 320 pages
...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 - Intuition - 1874 - 484 pages
...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 - Arithmetic - 1876 - 358 pages
...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.... | |
| |
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. 
