 Whence it follows, that the cube of a number composed of tens and units, is equal to the cube of the tens, plus three times the product of the square of the tens by the units, plus three times the product of the tens by the square of the units, plus the...  The Complete Arithmetic: Oral and Written - Page 433by Daniel W. Fish - 1874 - 516 pagesFull view - About this book
 | Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...the 6 tens of its cube root, is composed of three times the product of the square of the tens of its root by the units, plus three times the product of...the square of the units, plus the cube of the units. But since the square of tens gives no order lower than hundreds (Art. 407), the 461 hundreds of the... | |
 | Daniel Barnard Hagar - Arithmetic - 1872 - 352 pages
...to the cube of the tens, plus three times the product of the square of the tens by the units, phis three times the product of the tens by the square of the units, plus the cube of the units. NOTE. — The cube of a fraction cannot be integral. A cube may be an expression ending in any figure,... | |
 | Shelton Palmer Sanford - Arithmetic - 1872 - 404 pages
...dividend, 4167, besides containing 3 times the square of the tens multiplied by the units, also contains 3 times the product of the tens by the square of the units -f- the cube of the units. We therefore complete the divisor by adding to the trial divisor 3 times... | |
 | Emerson Elbridge White - Arithmetic - 1870 - 348 pages
...represent three times the product of the square of tens by the units; the three smaller rectangular solids, three times the product of the tens by the square of the units; and the smaller cube, the cube of the units. APPLICATIONS OF INVOLUTION AND EVOLUTION. I. TO THE BIGHT-ANGLED... | |
 | Daniel W. Fish - Arithmetic - 1874 - 302 pages
...and units is equal to the cube of the tens, plus three times the product of the square of the tens by the units, plus three times the product of the...the square of the units, plus the cube of the units. INVOLUTION. GEOMETRICAL ILLUSTRATION. FIG. 1. The volume of the cube marked A, Fig. 1 , is 203 ; the... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
...equal to cube of the tens of its cube root, plus three times the product of the square of the tens by the units, plus three times the product of the...the square of the units, plus the cube of the units. We first find the tens of the root : since the cube of the tens can contain no significant figure of... | |
 | Daniel W. Fish - Arithmetic - 1876 - 296 pages
...the first figure of the root must be found from the first period, 405. The greatest number of ten> whose cube is contained in 405000 is 7. Subtracting...be of a lower order than hundreds (818, PRIN. 2); hence the number represented by the last two figures, 24, cannot be a part of three times the product... | |
 | Daniel W. Fish - Arithmetic - 1876 - 302 pages
...is 62221. This remainder is equal to the product of three times the square of the tens of the "Toot by the units, plus three times the product of the...cannot be of a lower order than hundreds (818, PRIN. 2) ; hence the number represented by the last two figures, 24, cannot be a part of three times the product... | |
 | William Guy Peck - Arithmetic - 1877 - 430 pages
...and units is equal to the cube of the tens, plus three times the product of the squares of the tens by the units, plus three times the product of the...the square of the units, plus the cube of the units. Thus, the cube of 26, which is the same as the cube of 20 + 6, is equal to 203 + 3x202x6 + 3x20x62... | |
 | Stoddard A. Felter, Samuel Ashbel Farrand - Arithmetic - 1877 - 496 pages
...by two figures equals the cube of the tens, plus three times the product of the square of the tens by the units, plus three times the product of the...the square of the units, plus the cube of the units; or, (t -\- w)3 = í' + 3í2w-|3 t w2 + M3. PROBLEM. — Write the cube of 43. PROCESS. — 40s = 64000... | |
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