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 Βιβλία Βιβλία 1 - 10 από 162 για That is, the square of the sum of two numbers is equal to the square of the first.... That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number. Higher Arithmetic: Designed for the Use of High Schools, Academies, and ... - Σελίδα 309
των George Roberts Perkins - 1851 - 342 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## A New System of Arithmetick Theorical and Practical: Wherein the Science of ...

Alexander Malcolm - 1730 - 627 σελίδες
...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... ## The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1832 - 348 σελίδες
...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... ## An Introduction to Mensuration and Practical Geometry

John Bonnycastle - 1835 - 288 σελίδες
...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... A. Turnbull - 1836 - 335 σελίδες
...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 —... ## Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing ...

James Thomson (LL.D.) - 1837 - 284 σελίδες
...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... ## Gradiations in Algebra: In which the First Principles of Analysis are ...

Richard W. Green - 1839 - 148 σελίδες
...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 number. §173.... ## A Treatise on Algebra: Arithmetical algebra

George Peacock - 1842
...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=... ## Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 346 σελίδες
...) , . ,, ,, , n ^ a +0=0 -\-2p. gether ) Fifth Theorem. 201. The square of a polynomial expressing the sum of two numbers, is equal to the square of the fIrst term -f twice the product of the two terms + the square of th2 last term. Let s represent the sum,... ## Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1846 - 358 σελίδες
...two equations to-) gether • . - ' - - \ Fifth Theorem. 201. The square of a polynomial expressing the sum of two numbers, is equal to the square of the first term -f twice the product of the two terms + the square of th( last term. Let s represent the sum,... ## Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 422 σελίδες
...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. OBS. 1. The product...