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" ... the square of the hypothenuse is equal to the sum of the squares of the other two sides. "
Elements of Surveying - Page 34
by Charles Davies - 1830 - 300 pages
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Arithmetic, Oral and Written, Practically Applied by Means of Suggestive ...

Thomas H. Palmer - Arithmetic - 1854 - 356 pages
...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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A Treatise on the Law of Patents for Useful Inventions in the United States ...

George Ticknor Curtis - Patent laws and legislation - 1854 - 718 pages
...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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A Treatise on a Vox of Instruments and the Slide-rule: For the Use of ...

Thomas Kentish - Mathematical instruments - 1854 - 268 pages
...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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Indroduction to the National Arithmetic ...

Benjamin Greenleaf - 1854 - 342 pages
...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 algebra, in theory and practice

James William M'Gauley - 1854 - 284 pages
...of the hypothenuse and the other small «2 _ nZ side b is *, b is equal to — — - — For, since the square of the hypothenuse is equal to the sum of the squares of the small sides, 2sb=s2— a2 6=£2_o2 26. If the diagonal of a rectangle is c, and the...
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Elements of Plane Geometry, Part 1

Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...the other two ; for the three figures are to each other as the squares of their homologous sides. But the square of the hypothenuse is equal to the sum of the squares of the other two sides. Hence the similar figure described on the hypothenuse is equal to the...
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Examples in Arithmetic

Samuel Pedley - 1879 - 402 pages
...yds. ? (3) What is the length of a square field containing an acre ? (4) In any right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides : find the area of a square field whose diagonal (ie a, straight line...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - Railroad engineering - 1880 - 362 pages
...in its application. 2. When two of the sides are given, the third may be found by means of the rule that the square of the hypothenuse is equal to the sum of the squares of the remaining sides. 3. Another method for solving right-angled triangles is as follows:...
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Negro Civilization in the South: Educational, Social and Religious ...

Charles Edwin Röbert - African Americans - 1880 - 186 pages
...sweetest strains, and here Pythagoras learned from the Egyptian priests—" in the land of Ham" the fact that "the square of the hypothenuse is equal to the sum of the squares of the two other sides." ' Here, too, in later times were built the cities of Alexandria and...
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Education, Volume 5

Education - 1885 - 696 pages
...propositions, which are apparently quite unrelated to it. Thus the famous property of a right-angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the other two sides, may be readily deduced from certain general properties of triangles...
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