 | Silvestre François Lacroix - 1818 - 422 σελίδες
...tens plus the unite, or 2 a + b ; this multiplied by 7 or 6, reproduces 609 = 2 ab + 62, or double the product of the tens by the units, plus the square of the units. This being subtracted leaves no remainder, and the operation shows, that 47 is the square root of 2209.... | |
 | Adrien Marie Legendre - 1819 - 574 σελίδες
...the tens plus the units, or 2 a + b ; this multiplied by 7 or b, reproduces 609 = 2a6 + 6s, or double the product of the tens by the units, plus the square of the units. This being subtracted leaves no remainder, and the operation •hows, that 47 is the square root of... | |
 | Bézout - 1825 - 258 σελίδες
...have, for the square, the number 2916, which, as we see, is composed of the square of the tens, plus twice the product of the tens by the units, plus the square of the units of the number 54. 134. What we have, observed being an immediate consequence of the rules of multiplication,... | |
 | Zadock Thompson - 1832 - 186 σελίδες
...that the square of a number consisting of tens and units is made up of the square of the units, plus twice the product of the tens, by the units, plus the square of the tens. See this exhibited in figure F. As 10X 10=100, the square of the tens can never make a part of... | |
 | Zadock Thompson - 1832 - 182 σελίδες
...that the square of a numher consisting of tens and units is made up of the square of the units, plus twice the product of the tens, by the units, plus the square of the tens. See Ihis exhibitcd in figure F. As 10X 10=100, the square of tbe tens can never make a part of... | |
 | Charles Davies - 1835 - 378 σελίδες
...proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units. 117. If now, we make the units 1, 2, 3, 4, &c., tens, by annexing to each figure a cipher, we shall... | |
 | Silas Totten - 1836 - 320 σελίδες
...the units, we shall have, for the square of a + b, a3 + 2ab + b ; that is, the square of the tens, twice the product of the tens by the units, plus the square of the units. Let a = 8, and 6 = 5: then, since a represents the tens, and b the units, a + b becomes 80 + 5 = 85... | |
 | 1838 - 372 σελίδες
...proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units. 117. If now, we make the units 1, 2, 3, 4, &c., tens, by annexing to each figure a cipher, we shall... | |
 | Charles Davies - 1839 - 272 σελίδες
...1 1 , to which we bring down the two next figures 84. The result of this operation, 1184, contains twice the product of the tens by the units, plus the square of the units. But since tens multiplied by units cannot give a product of a less name than tens, it follows that... | |
 | Bourdon (M., Louis Pierre Marie) - 1839 - 368 σελίδες
...to which we bring down the two next figures 84. The result of this operation 1184, contains tzeice the product of the tens by the units plus the square of the units. But since tens multi. plied by units cannot give a product of a less name than tens, it follows that... | |
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Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units. 
