 | Isaac Watts - 1801 - Liczba stron: 342
...ploughman that the three angles of a triangle are equal to two right angles, or that the square of the hypotenuse of 'a right-angled triangle is equal to the sum of the squares of the two sides; the ploughman, who has but confused ideas of these things, may firmly... | |
 | Henry Malden - 1830 - Liczba stron: 166
...arithmetic, mathematics, and astronomy. He discovered the proof of the proposition, that the square en the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other sides. He knew that the sun was the centre round which the earth and other... | |
 | 1837 - Liczba stron: 490
...square root ; but no figure or explanation is given, excepting the following foot-note : " The square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under : OLASGOW. 44 miles. EDINBURGH.... | |
 | 1837 - Liczba stron: 488
...square root ; but no figure or explanation is given, excepting the following foot-note : " The square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under : GLASGOW. 44 miles. EDINBURGH.... | |
 | Charles Harrison Lyon - 1842 - Liczba stron: 156
...only to find the hypotenuse of the right-angled triangle BO E. Now it is well known that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. If then we take twice the square of 25, which is the length in... | |
 | Thomas Rainey - 1849 - Liczba stron: 334
...the triangle, the line of the base must be produced until it meets the vertical line. The square* of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the base and side. For example ; the base of a right-angled triangle is 8, the side... | |
 | John Radford Young - 1850 - Liczba stron: 294
...from knowing the third side. It is proved in the 47th Prop, of Enclid's first book, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the base and perpendicular; and consequently that the square of one of these latter... | |
 | 1857 - Liczba stron: 924
...the very nature of things, two and two make four ; the whole is greater than a part ; the square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides. We find, in the works of Dr. Gill, no allusion to the Utilitarian... | |
 | Charles Anthon - 1853 - Liczba stron: 600
...the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.2 Discoveries in astronomy are also attributed to him ; and there can be little... | |
 | Charles Anthon - 1853 - Liczba stron: 610
...the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.' Discoveries in astronomy are also attributed to him ; and there can be little... | |
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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. 
