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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 ... - Página 24
por Robert Gibson - 1832 - 348 páginas
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 422 páginas
...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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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - 1848 - 288 páginas
...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+2x20x4+16=...
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Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - 1848 - 422 páginas
...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 added to twice the product of the two parts and the square of the last part;...
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An Elemtary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - 1849 - 347 páginas
...540 + 9. 482=(40+8)2=402+2 x 40.8+82= 1600+640+64. From the above, we draw the following property : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square...
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Lectures on the Philosophy of Arithmetic and the Adaptation of that Science ...

Uriah Parke - 1849 - 395 páginas
...numbers. Then proceed by Case 3. Illustration. By reference to the diagram at Case 4, it is obvious that the square of the sum of two numbers, is equal to twice the product, added to the sum of the squares. Hence the reason of the rule is obvious. Example....
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1849 - 342 páginas
...sum of any two numbers, as 6 + 8, is equal to 63 +2x6.8 + 8", which result may be thus expressed : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1850 - 342 páginas
...sum of any two numbers, as 6 + 8, is equal to 6" + 2x 6.8 + 83, which result may be thus expressed : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square...
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An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - 1850 - 347 páginas
...32=8100+540+ 9. 482=(40+8)2=402+2x40.8+82= 1600+640+64. From the above, we draw the following property : The square of the sum of two numbers is equal to the square 'of the first number, plus twice the product of the first number into the second, plus the square...
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LECTURES ON THE PHILOSOPHY OF ARITHMETIC AND THE ADAPTATION OF THAT SCIENCE ...

URIAH PARKE - 1850
...numbers. Then proceed by Case 3. Illustration. By reference to the diagram at Case 4, it is obvious that the square of the sum of two numbers, is equal to twice the product, added to the sum of the squares. Hence the reason of the rule is obvious. Example....
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A THEORETICAL AND PRACTICAL ARITHMETIC

DANIEL LEACH, WILLIAM D. SWAN - 1851
...1600+400+25—2025 2(40x5)— 400 52-^25 1600+400+25=2025 284'. From the preceding illustration it is evident that the square of the sum of two numbers is equal to the square of the two numbers, plus twice their product, or to the square of the tens, plus the square...
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