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" ... the square of the hypothenuse is equal to the sum of the squares of the other two sides. "
The Field Engineer: A Handy Book of Practice in the Survey, Location, and ... - Página 18
por William Findlay Shunk - 1890 - 339 páginas
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1850 - 342 páginas
...side 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 ON THE PRODUCTIVE SYSTEM

ROSWELL C. SMITH - 1850
...triangles the longest side is usually considered the Base. 15. In every right-angled triangle, — The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. [Fig. 8.] 16. Hence, to find the different sides,...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - 1850 - 320 páginas
...shall have (9+3)x(9-3)=12x6=9 " -3'=81-9=72. PROPOSITION VIII. THEOREM. In any right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the rightangle C ; then...
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Elementary Algebra: For the Use of Schools

William Smyth - 1851 - 236 páginas
...of 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 - 330 páginas
...Pythagoras, 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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American Education, Principles and Elements

Edward D. Mansfield - 1851
...Pythagoras, 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
...measured 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 Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - 1851 - 372 páginas
...last, 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
...given, the third side may be found, without the aid of the trigonometrical tables, by the proposition, that the square of the hypothenuse is equal to the sum of the squares of the two perpendicular sides. (Euc. 47. 1.) If the legs be given, extracting the square root...
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Introduction to the National Arithmetic ...

Benjamin Greenleaf - 1851
...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...
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