 | Silvestre François Lacroix - Algebra - 1818 - 422 pages
...the tens plus the units, orZa + b; this multiplied by 7 or b, reproduces 609 = 2 ab + b 2 , 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 - 574 pages
...plus the units, or 2 a + b ; this multiplied by 7 or 6, reproduces 609 = 2 a ft + ft a , 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.... | |
 | Bézout - Arithmetic - 1825 - 258 pages
...add these products, and we have, for the squaje, 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,... | |
 | Adrien Marie Legendre - 1825 - 570 pages
...tens plus the units, or 2 a + 6; this multiplied by 7 or 6, reproduces 609 r= 2a I -\- 6 2 , 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.... | |
 | Silvestre François Lacroix - Algebra - 1825 - 324 pages
...plus the units, or 2 a -)- 6 ; this multiplied by 7 or i, reproduces 609 = 2a b -(- 6 2 , 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.... | |
 | William Smyth - Algebra - 1830 - 278 pages
...=2209. Thus the square of a number, consisting of units and tens, is composed of three parts, viz. the square of the tens, plus twice the product of the tens multiplied by the units, plus the square of the units. Thus in 2209, the square of 47, we have The... | |
 | Silvestre François Lacroix - Algebra - 1831 - 324 pages
...plus the units, or 2 a -f- 6 ; this, multiplied by 7 or 6, reproduces 609 = 2 ab + ó 2 , 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.... | |
 | Zadock Thompson - Arithmetic - 1832 - 182 pages
...23 square it. By this operation, it appears 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 - 186 pages
...appears 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 23 23 9 square of units. 60 ) twice... | |
 | Zadock Thompson - Arithmetic - 1832 - 186 pages
...appears 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... | |
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square of a number consisting 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. Using t and u respectively to denote the tens and units of a number, we have the FORMULA... 
