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" ... the square of the hypothenuse is equal to the sum of the squares of the other two sides. "
American Edition of the British Encyclopedia: Or, Dictionary of Arts and ...
von William Nicholson - 1821
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The Philosophy of Rhetoric

George Campbell - 1849 - 472 Seiten
...instance, of the first kind, the following affirmations : " The cube of two is the half of sixteen." " The square of the hypothenuse is equal to the sum of the squares of the sides." " If equal things be taken from equal things, the remainders will be equal."...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1849 - 356 Seiten
...opposite the right angle is called the hypothenuse. It is an establisJied proposition of geometry, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. From the above proposition, it follows that the square of the hypothenuse,...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1850 - 356 Seiten
...opposite the right angle is called the hypothenuse. It is an established proposition of geometry, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. From the above proposition, it follows that the square of the hypothenuse,...
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Arithmetic, Practically Applied ...

Horace Mann - 1851 - 384 Seiten
...lines 10ft. apart. This mode of operation is founded on the property of right-angled triangles, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. A roof is said to have a true pitch, when the length of each rafter...
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American Education: Its Principles and Elements : Dedicated to the Teachers ...

Edward Deering Mansfield - 1851 - 348 Seiten
...in the year five hundred and ninety before Christ, who discovered the fundamental proposition that the square of the hypothenuse is equal to the sum of the squares of the other two sides. Euclid appeared in the year three hundred BC His object was to systematize...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - 1851 - 536 Seiten
...and a very simple formula depending upon the well-known property of the right angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the other two sides, a formula expressing the value of the sine of half an arc in terms...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - 1851 - 418 Seiten
...referred to. 94. Other relations of the sine, tangent, &c., may be derived from the proposition, that the square of the hypothenuse is equal to the sum of the squares of the perpendicular sides. (Euc. 47. 1.) In the right angled triangles CBG, CAD, and CHP,...
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Elementary Algebra: For the Use of Schools

William Smyth - 1851 - 272 Seiten
...the other two sides ? NOTE. In solving this and other similar questions, it will be recollected that the square of the hypothenuse is equal to the sum of the squares of the other two sides, and the area is equal to one half the product of these sideS. ANS....
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A Treatise on a Box of Instruments and the Slide-rule: For the Use of ...

Thomas Kentish - 1852 - 258 Seiten
...29, and raise a perpendicular BC = 17. Join AB; apply it to the scale, and it will be found 33.6. For the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular. It is required to find the diameter of a copper, that, being...
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History of religious intolerance in Spain; or, an examination of some of the ...

Adolfo de Castro y Rossi - 1853 - 290 Seiten
...triangle rectangle;' " or with an Englishman who reads the same thing in his own language thus : " ' The square of the hypothenuse is equal to the sum of the squares of the two other sides of a rectangle triangle! " Thirdly, those who read in a well-known tongue,...
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