 | Walter William Rouse Ball - 1901 - 580 σελίδες
...cases (namely when the ratio of the sides is 3 : 4 : 5 or 1:1: N/2) the area of the square described on the hypotenuse of a right.angled triangle is equal to the sum of the areas of the squares described on the sides. It is barely possible that a few geometrical theorems... | |
 | 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,... | |
 | Thomas J. Foster - 1902 - 732 σελίδες
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 | International Correspondence Schools - 1903 - 652 σελίδες
...building have been 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... | |
 | Thomas Christensen - 2004 - 350 σελίδες
...listening to the corps sonore that the Egyptian priests first discovered the Pythagorean theorem, to wit, the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of its two sides.10 How could this be? Rameau thought that in perceiving the arithmetic... | |
 | Lancelot Hogben - 1968 - 662 σελίδες
...Fig. 25 makes with the landmark a horizontal angle of 45°. Demonstration 4 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. 3f Fig. 53. The Theorem of Pythagoras This is the... | |
 | Roger Scruton - 1993 - 294 σελίδες
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 | Alan Musgrave - 1993 - 332 σελίδες
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 | L. Bostock, F. S. Chandler, A. Shepherd, Ewart Smith - 1993 - 516 σελίδες
...whose entries form a magic square. I 7. Pythagoras' theorem states that the area of the square drawn on the hypotenuse of a right-angled triangle is equal to the sum of the areas of the squares drawn on the other two sides of the triangle. Investigate other similar shapes... | |
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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. 
