 | Samuel Mecutchen, George Mornton Sayre - 1877 - 200 σελίδες
...cube of the units. 3375=(10 + 5)x(10+5)x In this operation we see that the cube of a number consisting of tens and units is equal to the cube of the tens, plus three times the square of the tens multiplied by the units, plus three times the square of the units multiplied by... | |
 | William Guy Peck - 1877 - 430 σελίδες
...method of finding the square root of a number depends on the following principle of algebra : The square of a number composed of tens and units is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units.... | |
 | Edward Olney - 1879 - 392 σελίδες
...that the highest order in the root is tens (Principle I.), and that its cube is contained in 262. Now the greatest cube in 262 is 216, the cube root of which is 6. Hence 6 is the tens figure of the root. Now, letting t-\-u represent the root, we have (t + M)3 = t3 + 3<2tt + 3<tt2 +... | |
 | Horatio Nelson Robinson - 1875 - 472 σελίδες
...second. 240, is twice 40 multiplied by 3 ; and the third, 9, is the square of ?. Hence, III. The square of a number composed of tens and units is equal to the square of the tens, plus twice the tens multiplied by the units, plus the square of the units. By observing... | |
 | Joseph Ray - 1880 - 420 σελίδες
...treated the 2 tens in the first illustration. SECOND EXPLANATION. We learned in Art. 371 that the square of a number composed of tens and units is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units.... | |
 | James Bates Thomson - 1882 - 416 σελίδες
...units 5» = 125 Now 27000 + 13500 + 2250 + 125 = 42875. Hence. 752. TJie cube of any number consisting of tens and units is equal to the cube of the tens, pkt-s 3 times the square of the tens by the units, plus 3 times the tens by the square of the units,... | |
 | Emerson Elbridge White - 1883 - 374 σελίδες
...composed of two orders. The left-hand period, 262, contains the cube of the tens' term of the root, and the greatest cube in 262 is 216, the cube root of...a number, composed of tens and units, is equal to (1) the cube of the tens, (2) plus three times the product of the square of the tens by the units,... | |
 | Andrew Jackson Rickoff - 1886 - 688 σελίδες
...required to find the root of which 42875 is the third power. It must be kept in mind that the cube of any number composed of tens and units is equal to The cube of the tens -j- three times the product of the square of the tens by the units -j- three times the product of the... | |
 | Andrew Jackson Rickoff - 1888 - 464 σελίδες
...required to find the root of which 428T5 is the third power. It must be kept in mind that the cube of any number composed of tens and units is equal to The cube of the tens -\- three times the product of the square of the tens by the units + three times the product of the... | |
 | James William Nicholson - 1889 - 408 σελίδες
...the units by M, we have the Formula: (t -\- w)3 = ta -\- 312« + Btu2 + M3. That is, the cube of any number composed of tens and units is equal to the cube of the tens, -\- three times the square of the tens by the units, -\- three times the tens by the square of the... | |
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The greatest cube in 262 is 216, the cube root of which is 6 ; hence, 6 is the tens' term of the root. How is the units' term to be found ? The cube of a number, composed of tens and units, is equal to the cube of the tens... 
