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Books Books 1 - 10 of 99 on Which proves that the square of a number composed of tens and units, contains the....  
" 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. "
Elements of Algebra: Including Strums' Theorem - Page 104
by M. Bourdon (Louis Pierre Marie) - 1847 - 368 pages
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Elements of Algebra

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....
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Elements of Geometry

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...
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A Theoretical and Practical Arithmetic: In which the Principles of that ...

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,...
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The youth's assistant in theoretic and practical arithmetic: designed for ...

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...
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The youth's assistant in theorhetic [sic] and practical arithmetic: designed ...

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...
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Elements of Algebra: Tr. from the French of M. Bourdon

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...
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A New Introduction to the Science of Algebra...

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...
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Elements of algebra

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...
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Elements of Algebra

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...
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First Lessons in Algebra: Embracing the Elements of the Science

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...
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