| Isaac Watts - Conduct of life - 1801 - 342 pages
...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 - Rome - 1830 - 166 pages
...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 - 490 pages
...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.... | |
| 1837 - 490 pages
...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.... | |
| Charles Harrison Lyon - American essays - 1842 - 156 pages
...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... | |
| Euclides - 1845 - 546 pages
...right angle, prove from Euclid, Book i, that the equilateral triangle described oh the hypothenuse, **is equal to the sum of the equilateral triangles described upon the** sides which contain the right angle. GEOMETRICAL EXERCISES ON BOOK II. THEOREM I. The square of the... | |
| Thomas Rainey - Arithmetic - 1849 - 334 pages
...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 - Measurement - 1850 - 294 pages
...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... | |
| Theology - 1857 - 924 pages
...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 - Greek literature - 1853 - 600 pages
...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... | |
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