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" The side of a square is equal to the square root of half the square of its diagonal. "
An elementary course of practical mathematics - Page 60
by James Elliot - 1851
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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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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 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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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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The Mechanic's, Machinist's, and Engineer's Practical Book of Reference ...

Charles Haslett - 1855 - 544 pages
...perpendicular B G. jVote. — The diagonal line, or hypothenuse in a square, is equal to the gquare root of twice the square of the side. And the side...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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