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Βιβλία Βιβλία 31 - 40 από 166 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
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Arithmetic, theoretical and practical. [With] Key

Chambers W. and R., ltd - 1859
...method becomes the continuous one prescribed in the rule, the following proposition must be premised : The square of the sum of two numbers is equal to the squares of the two numbers, together with twice their product. Take any two numbers, as 20 and 5 ;...

Introduction to the National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - 1859 - 324 σελίδες
...without multiplying tho parts separately by the width ? ET*f G*t D F 8 20 20 # 20 5 r 400 100 That the square of the sum of two numbers is equal to the squares of the numbers, plus twice their product. Thus, 25 being equal to 20-\-5, its square is equal...

Higher Arithmetic : Or, The Science and Application of Numbers ..., Βιβλίο 6

James Bates Thomson - 1860 - 422 σελίδες
...are three figures in the given number, there must be two figures in the root; (Art. 562. Obs. 2;) but the square of the sum of two numbers, is equal to the square of the first part ad led to twice the product of the two ptirts and the square of the last part; it follows therefore...

Higher Arithmetic, Or, the Science and Application of Numbers: Combining the ...

James Bates Thomson - 1862 - 422 σελίδες
...are three figures in the given number, there must be two figures in the root; (Art. 503. Obs. 2;) but the square of the sum of two numbers, is equal to the square of tile first part ad'ied to twice the product of the two parts and the square of the last part; it follows...

Elements of arithmetic, tr. by J. Spear

1863
...OF THE SQUARE AND CUBE OF THE SUM OF TWO NUMBERS. 156. The square of the sum of two numbers equals the square of the first number, plus twice the product of the first by the second, plus the square of the second. Be it given to raise the sum of 7 + 5 to the square ;...

An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - 1865 - 347 σελίδες
...into &, plus the square of 9. Or in general terms, The square of the sum of three numbers is e^ual ,e the square of the first number, plus twice the product of the first number into the setond, plus the square of the second; plus twice the product of the sum of the first two into the...

A first book of algebra, including the binomial theorem

William Rossiter - 1867
...64. Or, substituting general symbols for particular numbers : Or, expressing the theorem in words, the square of the sum of two numbers is equal to the sum of the squares of the same numbers, together with twice their product. Bearing this in mind, we...

A TREATISE ON ALGEBRA

ELIAS LOOMIS, L.L.D. - 1868
...19(6— c)— 6. Expand and reduce 66. The three following theorems have very important applications. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first ly the second, plus the square jof the second. Thus, if we multiply...

An Elementary Course of Plane Geometry

Richard Wormell - 1868 - 261 σελίδες
...difference of the squares of two numbers is equal to the product of their sum and difference. and. The square of the sum of two numbers is equal to the sum of the squares together with twice the product. 3rd. The square of the difference of two numbers...

An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - 1869 - 347 σελίδες
...From the above, we draw the following property : The square of the sum of two numbers is equal to tk* square of the first number, plus twice the product...first number into the second, plus the square of the econd. If we wish the square of the sum of three numbers..as 6+8+9; we may unite the first and second...




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