 | Joseph Ray - 1857 - 358 pagine
...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... | |
 | Emerson Elbridge White - 1870 - 350 pagine
...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... | |
 | Shelton Palmer Sanford - 1872 - 404 pagine
...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 - 360 pagine
...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 pagine
...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... | |
 | John Homer French - 1876 - 358 pagine
...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.... | |
 | Joseph Ray - 1877 - 402 pagine
...the hypotenuse. BC the base, and AC the perpendicular. / 4. Proposition. — The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other tico sides. Draw a right-angled triangle, ABC,^ with the side BC... | |
 | William James Milne - 1877 - 402 pagine
...sides of a rightangled triangle is expressed thus: 529. PRINCIPLES.— 1. The square described upon the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. 2. The square on either of tie When the number of square units... | |
 | 1883 - 248 pagine
...to use all intelligible abbreviations and algebraic symbols.) 1. Prove that the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other sides. 2. Prove by a geometrical construction that the square' on... | |
 | Emerson Elbridge White - 1883 - 374 pagine
...two sides are the base and the perpendicular. (Art. 189.) ART. 371. Principles. — 1. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two This principle is illustrated by the annexed diagram. 2. The square of... | |
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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. 
