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" The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. "
A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... - Side 23
av Abel Flint - 1804 - 168 sider
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - 1851 - 418 sider
...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 sider
...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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American Education: Its Principles and Elements : Dedicated to the Teachers ...

Edward Deering Mansfield - 1851 - 348 sider
...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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Arithmetic, Practically Applied ...

Horace Mann - 1851 - 384 sider
...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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A Treatise on a Box of Instruments and the Slide-rule: For the Use of ...

Thomas Kentish - 1852 - 258 sider
...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 sider
...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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Indroduction to the National Arithmetic ...

Benjamin Greenleaf - 1854 - 342 sider
...the perpendicular, the side AC the hypothenuse, and the angle at B is a right angle. Base. ART. 272. In every right angled triangle the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular, as shown by the following diagram. It will be seen by examining...
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A Treatise on the Law of Patents for Useful Inventions in the United States ...

George Ticknor Curtis - 1854 - 718 sider
...applicable, are truths of exact science ; as the well-known propositions of geometry, that, in a right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the opposite sides ; that the angle at the centre of a circle is double the angle at the...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 520 sider
...OBS. It is to be observed that the proposition proved in (43, Part I.), viz. that in any right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the sides bounding the right angle, is of continual application in Mensuration, and enables...
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A Treatise on a Vox of Instruments and the Slide-rule: For the Use of ...

Thomas Kentish - 1854 - 268 sider
...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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