 | Bézout - 1825 - 258 σελίδες
...add these products, and we 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... | |
 | William Smyth - 1830 - 278 σελίδες
...62=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... | |
 | Charles Davies - 1835 - 378 σελίδες
...64 and (a+i)3= (64)3 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. 117. If now, we make the units 1, 2, 3, 4, &c., tens, by... | |
 | 1838 - 372 σελίδες
.... . aa+2a*+i3 =4096. 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. 117. If now, we make the units 1, 2, 3, 4, &c., tens, by... | |
 | Charles Davies - 1839 - 272 σελίδες
...shall have a+b =64, and 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. 94. If, now, we make the units 1,2, 3, 4, &c, tens, or... | |
 | Charles Davies - 1842 - 284 σελίδες
...(a+6)2=(64)2; or a2 + 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. 94. If, now, we make the units 1,2, 3, 4, &c, tens, or... | |
 | Charles Davies - 1842 - 368 σελίδες
...and (a+i) 3 =(64) 3 , 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 ihe units. 117. If now, we make the units 1, 2, 3, 4, &c., tens, by... | |
 | Charles DAVIES (LL.D.) - 1843 - 348 σελίδες
...AC is made up of the square AE, the two rectangles FE and EC, and the square ED : Hence The square of two figures is equal to the square of the tens, plus twice the product of the lens by the units, plus the square of the units. Let it now be required to extract the square root... | |
 | Charles Davies - 1844 - 666 σελίδες
...AC is made up of the square AE, the two rectangles FE and EC, and the square ED : Hence The square of two figures is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. Let it now be required to extract the square i^oi of 1296.... | |
 | Charles Davies - 1845 - 382 σελίδες
...(60)2 + 2 X 60 X 4 + (4)2 = 4096. Hence, 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... | |
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The square of two figures is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. 
