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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. "
The Theory and Practice of Surveying: Containing All the Instructions ... - Σελίδα 24
των Robert Gibson - 1832 - 348 σελίδες
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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...

An elementary treatise on arithmetic, in theory and practice: adapted to the ...

James Ryan - 1827 - 272 σελίδες
...1.16', or 1£. * Tkt principle an which the preceding rule depends, is, that the square of the sit"ii of two numbers is equal to the squares of the numbers...product. Thus, the square of 34 is equal to the squares oi, 30 anil of 4 with twice the product of 30 anil 4 ; that is, to 900-J-2 x 30 X 4-f 16=1156. Jlere,...

Introduction to Mensuration and Practical Geometry

John Bonnycastle - 1833 - 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, tha square of 24 is equal to the squares of 20 .»d 4 with twice the product of 20 and 4 ; that is,...

A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - 1831 - 396 σελίδες
...divisors are less than the true the square rool depends is, that the square of the sum of any Iwo number! is equal to the squares of the numbers with twice their product. Thus, the number 45 is equal to40-j-5 ; and the square of 45 is equal to the squares of 40 and of 5, with twice...

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...numbers with twice their product. Thus, the square of 24 is equal to the squares of 20 and 4 with twice the product of 20 and 4; that is, to 400 + 2 X20X4+l6=...

Arithmetic made easy

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
...decimal figures are obtained as the degree of accuracy necessary in the result muy require. Tke pnnniJe on which the preceding rule depends, is, that the...their product. Thus, the square of 34 is equal to ttie squares of 30 and of 4 with twice the product of 30 and 4 ; that is, to 900-j-2X30x4+16= 1156....

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...

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=...

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....




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