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" The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number. "
A Compendious Course of Mathematics, theoretical and practical - Page 26
by John Radford YOUNG - 1855
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A New System of Arithmetick Theorical and Practical: Wherein the Science of ...

Alexander Malcolm - Algebra - 1730 - 702 pages
...Square of the other Part, is equal to the Squares of the Sum of the whole and that Part. THEOREM V. THE Square of the Sum of two Numbers is equal to the Sum of the Square of one of them • and the Product of thé other into the Sum of this other and double...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1832 - 290 pages
...Answer. 1 1 1 23 71 69 2608 | 20864 20864 * The principle on which the preceding rule depends is, that the square of the sum of two numbers is equal to the squares of the numbers with twice their product. Thus, the square of 34 is equal to the squares of 30 and of 4 with twice...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1833 - 436 pages
...23 71 69 2608 | 20864 20864 * Tlie principle on which the preceding rule depends is, that the squan of' the sum of two numbers is equal to the squares of the numbers with twice their product. Thus, the square of 34 is equal to the squares of 30 and of 4 with twice...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Measurement - 1835 - 308 pages
...its circumference to be 24880 miles ? Ans. 7919.53666 miles, nearly. Extraction of the Square Root. The square of the sum of two numbers is equal to the squares of the numbers with twice their product. Thus, the square of 24 is equal to the squares of 20 and 4 with twice the...
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Arithmetic made easy

A. Turnbull - Arithmetic - 1836 - 368 pages
...From these examples we see that the product of the sum of two numbers, by their sum, that is to say, the square of the sum of two numbers, is equal to the sum of their squares added to twice their product. 0+6 12 + 8 a —b 12 — 8 114 — 96 — 96 —...
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Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing ...

James Thomson (LL.D.) - Arithmetic - 1837 - 296 pages
...accuracy necessary in the result muy require. Tke pnnniJe on which the preceding rule depends, is, that the square of the sum of two numbers is equal to the squares of the numbers with twice their product. Thus, the square of 34 is equal to ttie squares of 30 and of 4 with twice...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson, James Ryan - Surveying - 1839 - 452 pages
...Answer. 1 71 69 2608 I 20864 20864 " The principle on which the preceding rule depends is, that i\e square of the sum of two numbers is equal to the squares of the numbers with twice their product. Thus, the square of 34 is equal to the squares of 30 and of 4 with twice...
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Gradations in Algebra in which the First Principles of Analysis are ...

Richard W. Green - Algebra - 1839 - 156 pages
...their sum, by their sum. a+b a+b a3+ab +ab+b3 By this operation we find the following general property. The square of the sum of two numbers is equal to the square of the Jlrst number, plus twice the product of the two numbers, plus the square of the last...
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A Treatise on Algebra: Arithmetical algebra

George Peacock - Algebra - 1842 - 426 pages
...into a + b, or the square Square of (Art. 39.) of a + b. a + 6' a + b a + b a* + ab + ab + b* = (a Or the square of the sum of two numbers is equal to the sum of the squares of those numbers together with twice their product. Thus, (5 + S)8 = 25 + 9 + 2x3x5=...
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 432 pages
...of the two parts, viz: 20X3+20X3=120, added to the square of the last part, viz : 3X3=9. Hence, 562. The square of the sum of two numbers is equal to the square of the first part, added to twice the product of the two parts, and the square of the last part....
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