 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.  Buker-Felter Arithmetics - Page 322by Eva F. Buker - 1915Full view - About this book
 | Bézout - Arithmetic - 1825 - 258 pages
...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 - Algebra - 1830 - 278 pages
...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 - Algebra - 1835 - 378 pages
...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... | |
 | Algebra - 1838 - 372 pages
.... . 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 - Algebra - 1839 - 272 pages
...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 - Algebra - 1842 - 368 pages
...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 - Algebra - 1842 - 284 pages
...(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 - Arithmetic - 1844 - 666 pages
...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 - Algebra - 1845 - 382 pages
...(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... | |
 | Francis Henney Smith - Arithmetic - 1845 - 710 pages
...for any other number, we conclude, 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. Q. Of what parts may every number be considered as composed... | |
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