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" Heath,* believe that he probably discovered the theorem that bears his name, to the effect that, in a right-angled triangle, the square on the side opposite the right angle is equal to the sum of the squares on the other two sides. "
Plane and spherical trigonometry. [With] Solutions of problems. [Followed by ... - Page 43
by Henry William Jeans - 1873
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Key to the First Chart of the Masonic Mirror: Being a Complete Pocket ...

Henry Parmele - Freemasonry - 1823 - 122 pages
...Pythagoras had demonstrated the problem, that " in every right angled triangle, the square described upon the side opposite the right angle is equal to the sum of the squares of the two remaining sides," he exclaimed in the Greek language Euraka, I ham found it ; and...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...namely, that of the squares npon the two sides containing the right angle. In other words, the square on the side opposite the right angle, is equal to the sum of the squares on the sides containing that angle as before. If the angles of a right-angled triangle are...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...namely, that of the squares npon the two sides containing the right angle. In other words, the square on the side opposite the right angle, is equal to the sum of the squares on the sides containing that angle as before. If the angles of a right-angled triangle are...
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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1839 - 348 pages
...sides unequal. A rectangular or right angled triangle has one of its angles a right one, or 90°: and the square of the side opposite the right angle is equal to the sum of the squares of the sides containing that angle ; hence a triangle having its sides proportional to the...
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A Treatise of Arithmetic: Designed for the Use of the Elementary Schools ...

Arithmetic - 1843 - 142 pages
...square root of their product. NOTE 2. In any right-angled triangle, the square of the hypotenuse, or side opposite the right angle, is equal to the sum of the squares of the other two sides.- • NOTE 3. The areas of circles and the surfaces of spheres are to...
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The American Arithmetic

James Robinson (of Boston.) - 1847 - 304 pages
...degrees with the base B C. 22. In every right-angled triangle, the square described on the hypothenuse or side opposite the right angle, is equal to the sum of the squares described upon the base and perpendicular. If ABC be a right-angled triangle, and rightangled...
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Suggestive Hints Towards Improved Secular Instruction: Making it Bear Upon ...

Richard Dawes - Teaching - 1849 - 228 pages
...as applying to the superficial measurement of rectilineal figures. The 47th in the first book, that the square of the side opposite the right angle is equal to the sum of the squares on * The following is a very interesting and useful application of this proposition in showing...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...\-x, to find x. 2 o Jins. a; =±10. 3. In a right angled triangle, the square of the hypotenuse, or side opposite the right angle, is equal to the sum of the squares of the other two sides (Geom. § 188). If then the base is 4 feet, and the perpendicular 3...
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Suggestive Hints Towards Improved Secular Instruction: Making it Bear Upon ...

Richard Dawes - Teaching - 1857 - 272 pages
...as applying to the superficial measurement of rectilineal figures. The 47th in the first book, that the square of the side opposite the right angle is equal to the sum of the squares on the other two sides. All these from the first book are particularly of practical application....
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Plane and spherical trigonometry. [With] Solutions of problems

Henry William Jeans - 1858 - 106 pages
...9-008514 10 log. b Î-008514 .-. 6=-102 To find B: B=90°-A=78° 41' 30" When two sides of a rigbt-angled triangle are given, the third may be found by the...opposite the right angle is equal to the sum of the squares of the sides containing the right angle" (Eue. i. 47) : tbus, in a triangle ABС, right-angled...
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