 | 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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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. 
