 | Henry Martyn Taylor - 1895 - 708 σελίδες
...of the squares on the parts is equal to a given square. 120 The proof of the theorem "the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other sides," which we have given in the text of the 47th proposition, is attributed... | |
 | 1898 - 956 σελίδες
...symbolism which they had had since the third or fourth century. THE PYTHAGOREAN THEOREM. The square upon the hypotenuse of a rightangled triangle is equal to the sum of the squares upon the other two sides. A very neat method of showing the truth of this proposition is... | |
 | 1896 - 774 σελίδες
...circles cut one another at right angles. 4. Prove that the area of any rectilineal figure described on the hypotenuse of a right-angled triangle is equal to the sum of the similar figures described on the sides. 5. Through a point 0 in a parallelogram straight lines... | |
 | Middlesex Alfred Bailey - 1897 - 332 σελίδες
...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 illustrate... | |
 | Great Britain. Education Department. Department of Science and Art - 1899 - 348 σελίδες
...join CG, FH; show that the angles GCB and HFE are equal. (35.) 42. Show that a polygon described on the hypotenuse of a rightangled triangle is equal to the sum of the similar polygons, similarly described on the other sides. Given two similar triangles, show how... | |
 | 1899 - 166 σελίδες
...polygons are in a ratio which is the duplicate of the ratio of two corresponding sides. A polygon on the hypotenuse of a right-angled triangle is equal to the sum of the polygons similarly described on the other sides. 5. Shew that the radian is a constant angle, and... | |
 | 1899 - 136 σελίδες
...it, described on the other two sides. Solution by the PROPOSER. Lemma I. — A rhombus described on the hypotenuse of a right-angled triangle is equal to the sum of the rhombi equiangular to it described on the other two sides. Let ABC be a triangle, right-angled... | |
 | William Whitehead Rupert - 1900 - 148 σελίδες
...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 the first man... | |
 | Manitoba. Department of Education - 1900 - 558 σελίδες
...diagonals of parallelograms about a diagonal of a parallelogram are parallel. 6. The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the sides containing the right angle. Show how to find a square which is equal... | |
 | Burke Aaron Hinsdale - 1900 - 284 σελίδες
...together. The particular lesson on this occasion was the Pythagorean theorem : the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides, and it proceeded somewhat as follows: Teacher. What have... | |
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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. 
