 | Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...sum and difference of two lines is equal to the difference of the squares of the lines. PROP. XXIV. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the two other sides. PROP. XXV. The square of any side of an oblique-angled... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...BC is equal to three times the square on AC. 6. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of its three medians. 1. In any quadrilateral figure the squares on the diagonals are together equal to... | |
 | Horatio Nelson Robinson - Arithmetic - 1892 - 428 pages
...principles, which are demonstrated in geometry, afford applications of square root. PRINCIPLES. — I. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides; therefore, II. The hypotenuse is equal to the square... | |
 | Horatio Nelson Robinson - Arithmetic - 1892 - 428 pages
...principles, which are demonstrated in geometry, afford applications of square root. PRINCIPLES. — I. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides; therefore, II. The hypotenuse is equal to the square... | |
 | Brainerd Kellogg - English language - 1892 - 362 pages
...adapted to arouse feeling. No one but its discoverer was ever moved to enthusiasm by the truth that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the remaining sides. A coldly logical and unanswerable argument dealing with... | |
 | Adelia Roberts Hornbrook - Geometry - 1895 - 222 pages
...Demonstrative geometry will show the truth in all cases of the following principle : PRINCIPLE 54. — The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 57. Measure off 6 inches on one side of a square surface... | |
 | George Pierce Baker - Debates and debating - 1895 - 436 pages
...that is pure \ t , conviction is the proof of some theorem of Geometry, as, .;' for instance, that the square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the other two sides. All the proof adduced appeals solely to the intellect,... | |
 | Horatio Nelson Robinson - Arithmetic - 1895 - 526 pages
...principles, which are demonstrated in geometry, afford applications of square root: PRINCIPLES. — I. The square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the other two sides ; therefore, II. T7'e hypotenuse is equal to the square... | |
 | Middlesex Alfred Bailey - Arithmetic - 1897 - 332 pages
...diameter ; divide the circumference by the diameter; the quotient will be 3.1416 approximately. II. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. For proof, the pupil is referred to geometry. We may... | |
 | William Whitehead Rupert - Geometry - 1900 - 148 pages
...c + d. Whence a + b + cjrd= 2 right angles. .-. B + A + C=2 right angles. CHAPTER II. THEOREM. 10. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Pythagoras, who was born at Samos about 569 BC, was... | |
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The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 
