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Βιβλία Βιβλία 11 - 20 από 189 για The square of a number composed of tens and units is equal to the square of the tens,....
" The square of a number composed 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. tens? "
A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ... - Σελίδα 253
των Emerson Elbridge White - 1870 - 340 σελίδες
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - 1839 - 355 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...

An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - 1841 - 300 σελίδες
...625. When, therefore, a number contains tens and units, its sccnnd power will contain the second power of the tens, plus twice, the product of the tens by the units, plus the second power of the units. Now let us reverse the process, and see by what means the root could be...

Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1842 - 258 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 units of the second order, by annexing to each...

Elements of Algebra

Charles Davies, Bourdon (M., Louis Pierre Marie) - 1842 - 358 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 annexing to each figure a cipher,...

Arithmetic, Designed for Academies and Schools

Charles Davies - 1843 - 12 σελίδες
...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...

Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - 1844 - 340 σελίδες
...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...the tens by the units, plus the square of the units. • Let it now be required to extract the square i^oi of 1296. Since the number contains more than...

Elements of Arithmetic: For Schools and Academies. In which Decimal ..., Μέρος 2

Pliny Earle Chase - 1844 - 240 σελίδες
...the 7 in the root, and also at the right of the divisor, we multiply by 7, and obtain 469, which is twice the product of the tens by the units plus the square of the units. Hence we deduce the following RULE. Separate the number into periods of two figures each, by placing...

Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 346 σελίδες
...24000 + 3000+ 125=91 125 283. On inspecting the above examples, it will be perceived that the cube of a number composed of tens and units is equal to the cube of the tens, plus three times the product of the square of the tens by the units, plus three times...

Smith and Duke's The American Statistical Arithmetic: Designed for Academies ...

Francis Henney Smith - 1845 - 282 σελίδες
...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 ? What does 16 contain 1 251 59? 125 ?...

Elements of Algebra: Including Sturm's Theorem

1845 - 368 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 annexing to each a cipher, we shall have,...




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