 | Isaac Watts - 1801 - 342 pagine
...mathematician assures •A 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... | |
 | John Nicholson - 1825 - 822 pagine
...: AC: : AC : AB, and BD : BC : : BC : AB. 3. The angle ACB, in a semicircle, is always a right. 4. The square of the hypotenuse of a right-angled triangle, is equal to the squares of both the sides. That is, AC* = AD" + DC1, and BC* = BD* -f- DC', andAB°-= AC4 + BC4.... | |
 | Thomas Dick - 1829 - 308 pagine
...thinker, as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle, is equal to the squares of the other two sides" — " that the three angles of a triangle are equal to two right... | |
 | John Nicholson (Civil engineer) - 1830 - 240 pagine
...AC : : AC : AB, ! and BD : BC : : BC : AB. 3 The angle ACB, in a semicircle, is always a right. 4. The square of the hypotenuse of a right-angled triangle, is equal to the squares of both the sides. That is, AC2 = AD2 + DC4, and BC2 = BD2 + DC8, and AB2= AC2 + BC2. 5.... | |
 | Henry Malden - 1830 - 166 pagine
...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... | |
 | Ira Wanzer - 1831 - 408 pagine
...Note. — The square of the hypothenuse, or longest side, of any right angled triangle, is equal to the sum of the squares of the base and perpendicular ; and consequently the square of either of the two last mentioned sides is equal to the difference of the squares of the... | |
 | Thomas Dick - 1836 - 306 pagine
...thinker, as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle is equal to the squares of the other two sides" — "tha-tthe three angles of a triangle are equal to two right... | |
 | 1837 - 490 pagine
...extraction of the 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 - 488 pagine
...extraction of the 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.... | |
 | 1839 - 504 pagine
...solution (Epsom salts) there exists an insoluble material — illustrated by the mathematical theorem, that the square of the hypotenuse of a right-angled triangle, is equal, &c. It was in this part of his subject — for no where else had it any bearing on physical phenomena... | |
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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. 
