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" The side of a square is equal to the square root of half the square of its diagonal. "
Mensuration for pupil teachers - Page 19
by James Elliot - 1879 - 106 pages
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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1839 - 348 pages
...diagonal of a square is equal to the square root of twice the square of its side : and the side of the square is equal to the square root of half the square of its diagonal. The diagonal is a right line drawn across a quadrilateral figure from one angle to another....
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The Millwright and Engineer's Pocket Companion

William Templeton - Mathematics - 1846 - 518 pages
...C. v/20 + 16 X 4 = 12, length of the perpendicular B C. NOTE — The diagonal line, or hypotenuse in a square, is equal to the square root of twice the...is equal to the square root of half the square of its diagonal. Thus, suppose each side_of a square equal 12 feet :— 12' X 2 = v/ 288= 16.9705 feet,...
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Putnam's Arithmetic

Rufus Putnam - Arithmetic - 1849 - 276 pages
...SURFACES. (Art. 56.) The area of a SQUARE is' equal to the square of one of its sides ; consequently, the side of a square is equal to the square root of its area. 1. What is the area of a square field, each side of which is 40 rods ? 15 rods? 20 J rods?...
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An elementary course of practical mathematics, Part 2

James Elliot - 1851 - 152 pages
...h being the hypothenuse ; 5, the base ; and p, the perpendicular. * Called also a rod, and a perch. COR. Hence the diagonal of a square is equal to the...triangle, of which we have b = 5•48, and p = 3'86. 36 127)893 889 1340)400 6 = 5•48 5•48 4384 2192 2740 30•03 04 3•86 =p E 3•86 2316 308 8 1158...
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High School Arithemtic: Containing the Elementary and the Higher Principles ...

James B. Dodd - Arithmetic - 1852 - 410 pages
...square root of 25. Square Inscribed in a Circle. § 397. The side of a square inscribed in a circle, is equal to the square root of half the square of the diameter of the circle. Thus, let ABCD be a square inscribed in a circle whose diameter is B D. Then...
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The Excise Officer's Manual: Being a Practical Introduction to the Business ...

Joseph Bateman - Excise tax - 1852 - 376 pages
...the form to which, in the measurement of surfaces, as already stated, all other forms are reduced. The side of a square is equal to the square root of its area, and its diagonal is equal to the square root of twice its area. All parallelograms upon the...
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High School Arithmetic

James B. Dodd - 1853 - 398 pages
...square root of 25. Square Inscribed in a Circle. § 397. The side of a square inscribed in a circle, is equal to the square root of half the square of the diameter of the circle. Thus, let ABCD be a square inscribed in a circle whose diameter is B D. Then...
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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - Artillery drill and tactics - 1854 - 406 pages
...of its sides. 3. The diagonal of a square equals the square root of twice the square of its side. 4. The side of a square is equal to the square root of half the square of its diagonal. 5. The side of a square, equal to the diagonal of a given square, contains double the...
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The Mechanic's, Machinist's, and Engineer's Practical Book of Reference ...

Charles Haslett - Engineering - 1855 - 482 pages
...C. -The. diagonal line, or hypothenuae in a square, is equal to Ihe square root of twice the sqiiare of the side. And the side of a square is equal to the square root of half Ihe square ol'its diagonal. Thus Buppose each side of a square equal 12 feet : 12" X j __ V Ss = W9705...
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Mechanics and Engineers Book of Reference and Engineers Field Book

Charles W. Hackley - Engineering - 1856 - 530 pages
...4^20 + 16 x 4 = 12, length of the perpendicular B C. Note.— The diagonal line, or hypothenuse in a square, is equal to the square root of twice the...is equal to the square root of half the square of its diagonal. Thus suppose each side of a square equal 12 feet : 12 X 2 — V 288 = 16'9705 feet, the...
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