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Βιβλία Βιβλία 11 - 20 από 170 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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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...

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

James Bates Thomson - 1848 - 422 σελίδες
...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; it follows therefore...

An Introduction to Mensuration and Practical Geometry

John Bonnycastle - 1848 - 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...

An Elemtary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - 1849 - 347 σελίδες
...the sum of 6 and 8 into 9, plus the square of 9. Or in general terms, The square of the sum of three numbers is equal to the square of the first number,...number into the second, plus the square of the second; plus twice the product of the sum of the first two into the third, plus the square of the third. Continuing...

Lectures on the Philosophy of Arithmetic and the Adaptation of that Science ...

Uriah Parke - 1849 - 395 σελίδες
...who has not studied the subject closely. In either case the operation is based on the theorem, that " the square of the sum of two numbers is equal to the sum of their squares, added to twice the product of one by the other." Let us extract the square root...

... An Elementary Arithmetic ... Serving as an Introduction to the Higher ...

George Roberts Perkins - 1850 - 347 σελίδες
...the sum of 6 and 8 into 9, plus the square of 9 Or in general terms, The square of the sum of three numbers is equal to the square of the first number, plus twice the product ofthejirst number into the second, plus the square of the second ; plus twice the product of the sum...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1850 - 342 σελίδες
...the sum of 6 and 8 into 9, plus the square of 9. Or in general terms, The square of the sum of three numbers is equal to the square of the first number, plus twice the pfoduct of the first number into the second, plus the square of the second; plus twice the product...

LECTURES ON THE PHILOSOPHY OF ARITHMETIC AND THE ADAPTATION OF THAT SCIENCE ...

URIAH PARKE - 1850
...who has not studied the subject closely. In either case the operation is based on the theorem, that " the square of the sum of two numbers is equal to the sum of their squares, added to twice the product of one by the other." Let us extract the square root...

An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - 1851 - 347 σελίδες
...the sum of 6 and 8 into 9, plus the square of 9. Or in general terms, The square of the sum of three numbers is equal to the square of the first number,...number into the second, plus the square of the second; plus twice the product of the sum of the first two into the third, plus the square of the third. Continuing...

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 of the units,...




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