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" ... one or two figures, will be found between two whole numbers differing from each other by unity. Thus 55, which is comprised between 49 and 64, has for its square root a number between 7 and 8. Also 91, which is com prised between 81 and 100, has for... "
First Lessons in Algebra: Embracing the Elements of the Science - Page 134
by Charles Davies - 1840 - 252 pages
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...Also, 91 which is comprised between 81 and 100, has for its square root a number between 9 and 10. Every number may be regarded as made up of a certain...Thus 64 is made up of 6 tens and 4 units, and may be expressed under the form 60+4=64. Now, if we represent the tens by a and the units by b, we shall have...
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Elements of Algebra

Algebra - 1838 - 372 pages
...Also, 91 which is comprised between 81 and 100, has for its square root a number between 9 and 10. Every number may be regarded as made up of a certain...Thus 64 is made up of 6 tens and 4 units, and may be expressed under the form 60+4=64. Now, if we represent the tens by a and the units by b, we shall have...
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Elements of Algebra

Algebra - 1839 - 368 pages
...for its square root a number between 9 and 10. Every number may be regarded as made up of a certam number of tens and a certain number of units. Thus 64 is made up of 6 tens and 4 units, and may be expressed under the form 60+4=64. Now, if we represent the tens by a and the units by b, we shall have...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...figure, will contain no figure of a higher denomination than tens. The numbers of the last line, 1,4, 9, 16, &c, and all other numbers which can be produced...number expressed by a single figure ? What are perfect squares ? How many are there between 1 and 100 ? What are they ? Now, if we represent the tens by a...
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...Also, 91 which is comprised between 81 and 100, has for its square root a number between 9 and 10. Every number may be regarded as made up of a certain...Thus 64 is made up of 6 tens and 4 units, and may be expressed under the form 60+4=64. Now, if we represent the tens by a and the units by b, we shall have...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...than two figures. It has already been shown that the square of any binomial, as (a+6)2=a2+2a6 +62. Every number may be regarded as made up of a certain...number of tens and a certain number of units ; thus, 46 is composed of 4 tens and 6 units, and may be expressed thus, 40+6 ; the square of which may be...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...square root of 91, comprised between the perfect squares 81 and 100, is greater than 9 and less than 10. Every number may be regarded as made up of a certain...Thus 64 is made up of 6 tens and 4 units, and may be expressed under the form 60 + 4 = 64. Now, if we represent the tens by a and the units by b, we shall...
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The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - Arithmetic - 1845 - 710 pages
...the square root of 96 be found ? ,/Jjfj N/37? >/24? 221* Every number may be considered as composed of a certain number of tens and a certain number of units. Thus, 16—1 ten+6 units, or 10 + 6, and 98 = 9 tens + 8 units = 90 + 8. Now, the square of a number such...
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Smith and Duke's The American Statistical Arithmetic: Designed for Academies ...

Francis Henney Smith - Arithmetic - 1845 - 300 pages
...square root of 96 be found ? y.;-, . •/37T -/24? 221* Every number may be considered as composed of a certain number of tens and a certain number of units. Thus, 16=1 ten+6 units, or 10 + 6, and 98 = 9 tens + 8 units = 90 + 8. Now, the square of a number such as...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...two figures. It has already been shown that the square of any binomial, as (a-\-b)>=a?+ 2 ab +6 2 . Every number may be regarded as made up of a certain...number of tens and a certain number of units; thus, 46 is composed of 4 tens and 6 units, and may be expressed thus, 40+6 ; the square of which may be...
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