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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. "
Elements of Geometry - Σελίδα 63
των Adrien Marie Legendre - 1819 - 208 σελίδες
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Arithmetic, Practically Applied ...

Horace Mann - 1851 - 384 σελίδες
...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...

Introduction to the National Arithmetic ...

Benjamin Greenleaf - 1851 - 332 σελίδες
...side AC the hypolhenuse, and the angle at B is a right angle. 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...

Elementary Algebra: For the Use of Schools

William Smyth - 1851 - 272 σελίδες
...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....

Journal of the American Oriental Society, Τόμος 6

American Oriental Society - 1860 - 632 σελίδες
...converse process. This is simply an application of the familiar rule, that in a rightangled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides, to the triangle produced by the gnomon as perpendicular, the shadow...

Mechanics for the Millwright, Machinist, Engineer, Civil Engineer, Architect ...

Frederick Overman - 1851 - 452 σελίδες
...angle from the middle of the hypothenuse is equal to half the hypothenuse. In a right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the two sides. If an angle be bisected by a right line,' which cuts the base, the segments...

American Education: Its Principles and Elements : Dedicated to the Teachers ...

Edward Deering Mansfield - 1851 - 348 σελίδες
...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...

A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - 1851 - 540 σελίδες
...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...

A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - 1851 - 418 σελίδες
...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,...

A Treatise on a Box of Instruments and the Slide-rule: For the Use of ...

Thomas Kentish - 1852 - 258 σελίδες
...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...

History of religious intolerance in Spain; or, an examination of some of the ...

Adolfo de Castro y Rossi - 1853 - 290 σελίδες
...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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