 | William Watson - 1902 - 1022 σελίδες
...increases from o° to 90°. Ans. sin 30° = .5 ; cos 60° = .5 ; tan 45°=!. 3. Given that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other scales, prove that sin2 0 + cos3 9=i. 4. The angle subtended by the diameter... | |
 | Thomas Smith (D.D.) - 1902 - 244 σελίδες
...angles of every triangle are, in their sum, equal to two right angles. (4) That the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on its two sides. These truths, which he demonstrated in his I. 5, 15, 32, 47,... | |
 | Joseph Ray - 1903 - 366 σελίδες
...400. 20. 7. 1764. 42. 8. 5184. 72. 9. 3025. 55. EVOLUTION Proposition. — 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. Draw a right-angled triangle, ABC, with the side BC 4... | |
 | John Marvin Colaw - 1903 - 444 σελίδες
...altitude. 60. The area of a circle is equal to the square of its radius multiplied by w. 61. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. 62. If 8 is the side and a the area of a square, what principle... | |
 | International Correspondence Schools - 1903 - 652 σελίδες
...fixed. The accuracy of the angles laid out in this manner may be checked by the rule (The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides). The survey of the property gives the lines and levels and locates... | |
 | Joseph Harrison (A.M.I.C.E.) - 1903 - 300 σελίδες
...O) were described on AB, it would pass through C. This fact should be remembered. (b) The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two sides. — This is the famous theorem of Pythagoras, and it is one of the most... | |
 | Charles Godfrey, Arthur Warry Siddons - 1903 - 384 σελίδες
...in the smaller window is 1200 ; what is the number in the larger ? Ex. 1794. A figure described on the hypotenuse of a right.angled triangle is equal to the sum of the similar figures described on the sides of the triangle. (This is a generalisation of Pythagoras.... | |
 | Maude Radford Warren - 1903 - 408 σελίδες
...beyond doubt. Formal Argu- ^ 's one thing to make it appear probable ment. that 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 ; it is a different matter to demonstrate the proposition,... | |
 | John Henry Walsh - 1903 - 564 σελίδες
...will be exactly equal in surface to the two squares A and B (Fig. 5). 430. The square described on the hypotenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 431. Written Exercises. Find the missing side of each... | |
 | Euclid - 1904 - 488 σελίδες
...equal to one of the angles of the given triangle. 8. Prove that the equilateral triangle described on the hypotenuse of a right-angled triangle is equal to the sum of the equilateral triangles described on the sides containing the right angle. [Let ABC be the triangle... | |
| |
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. 
