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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 New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ... - Seite 223
von Charles Guilford Burnham - 1841 - 312 Seiten
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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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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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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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Indroduction to the National Arithmetic ...

Benjamin Greenleaf - 1854 - 342 Seiten
...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 Seiten
...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 Seiten
...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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Arithmetic, Oral and Written, Practically Applied by Means of Suggestive ...

Thomas H. Palmer - 1854 - 356 Seiten
...other. The side A 0, opposite the right angle, is called the hypothenuse. It is shown by Geometry, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. It follows that the difference between the square of the hypothenuse...
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