Books Books The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Elements of Plane Geometry: For the Use of Schools - Page 63
by Nicholas Tillinghast - 1844 - 96 pages ## The Colliery Engineer Pocket-book of Principles Rules, Formulæ, and Tables ...

Thomas J. Foster - Coal mines and mining - 1891 - 456 pages
...the number of sides. 18. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Thus, in a right-angled triangle whose base is -20 ft. and its altitude 10, the square of the hypothenuse... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...straight lines. v PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, tlien the angle contained by these two sides shall be a right angle. B Let ABC be ;i triangle; and... ## Standard Arithmetic: Embracing a Complete Course for Schools and Academies

William James Milne - Arithmetic - 1892 - 440 pages
...of a square ? 459. Since the square described upon the hypotenuse, or side opposite the right angle, of a right-angled triangle is equivalent to the sum of the squares upon the other two sides, it is evident : 1st, That the hypotenuse is equal to the square root of the... ## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 506 pages
...algebraical statement. 8 •2 9 6 10 12 3. (a) If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides shall be a right angle. (V) Enunciate the converse of Euclid... ## An Apocalypse of Life

Walter Thomas Cheney - 1893 - 352 pages
...geometrical theorem that the square described on the hypotenuse of a right-angle triangle is equal to the sum of the squares described on the other two sides. Well, imagine the ' earth ' to be that ' triangle ' and the ' mount ' the ' square,' and " " I see... ## Proceedings, Abstracts of Lectures and a Brief Report of the Discussions of ...

National Education Association of the United States - Education - 1895 - 1120 pages
...get its full share of attention. When we draw to show that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides, we are aided by seeing visible proof of the statement, and the drawing does not deteriorate. I doubt... ## A Common School Arithmetic

Bothwell Graham - Arithmetic - 1895 - 238 pages
...having one right angle. 6. The square described upon the hypotenuse (side opposite the right angle) of a right-angled triangle is equivalent to the sum of the squares described .upon the other two sides: whence, the hypotenuse is equal to the square root of the sum of the squares... ## Bradbury's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...and perpendicular. 479. The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. Hence, the square of either of the two sides which form the right angle is equal to the square of the... ## Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

Joe Garner Estill - Geometry - 1896 - 168 pages
...equiangular. 5. Show how to find a mean proportional between two given lines. 6. The square described upon the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. (GHve the pure geometric proof.) 7. In a triangle any two sides are reciprocally... 