| Silvestre François Lacroix - Algebra - 1818 - 276 pages
...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 - Geometry - 1819 - 208 pages
...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... | |
| Etienne Bézout, François Peyrard, Noble Heath - Arithmetic - 1825 - 236 pages
...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 - Arithmetic - 1832 - 168 pages
...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 - Arithmetic - 1832 - 168 pages
...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... | |
| M. Bourdon (Louis Pierre Marie) - Algebra - 1835 - 353 pages
...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 - Algebra - 1836 - 304 pages
...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... | |
| Charles Davies, Bourdon (Louis Pierre Marie, M.) - Algebra - 1838 - 355 pages
...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... | |
| M. Bourdon (Louis Pierre Marie) - Algebra - 1839 - 355 pages
...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 the last figure... | |
| Charles Davies - Algebra - 1839 - 252 pages
...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.** 94. If, now, we make the units 1,2, 3, 4, &c, tens, or units of the second order, by annexing to each... | |
| |