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" The sum or difference of two odd numbers, is even ; but the sum of three odd numbers, is odd. 4. The sum of any even number of odd numbers, is even ; but the sum of any odd number of odd numbers, is odd. 5. The sum, or difference, of an even and an odd... "
An Elementary Investigation of the Theory of Numbers: With Its Application ... - Σελίδα 7
των Peter Barlow - 1811 - 507 σελίδες
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Mechanics Magazine, Τόμος 5

1826 - 490 σελίδες
...The sum, or difference, of any two even numbers, is an even number. 2. The sum, or difference, of any two odd numbers, is even ; but the sum of three odd numbers, is odd. 3. The sum of any even number of odd numbers is even ; but the sum of any odd number of odd numbers...

Iron: An Illustrated Weekly Journal for Iron and Steel ..., Τόμος 5

Perry Fairfax Nursey - 1826 - 476 σελίδες
...The sum, or difference, of any two even numbers, is an even number. 2. The sum, or difference, of any two odd numbers, is even ; but the sum of three odd numbers, is odd. 3. The sum of any even number of odd numbers is even ; but the sum of any odd number of odd numbers...

Mechanics' Magazine, Τόμος 5

1826 - 478 σελίδες
...The sum, or difference, of any two even numbers, is an even number. 2. The sum, or difference, of any two odd numbers, is even ; but the sum of three odd numbers, is odd. 3. The sum of any even number of odd numbers is even ; but the sum of any odd number of odd numbers...

The North American Arithmetic: Part Third, for Advanced Scholars, Τόμος 3

Frederick Emerson - 1834 - 300 σελίδες
...the cube. Property 1. The sum, or the difference of any two even numbers, is an even number. Prop. 2. The sum, or difference, of two odd numbers is even; but the sum of three odd numbers is odd. Prop. 3. The sum of an even number of odd numbers is even; but the sum of an odd number of odd numbers...

Treatise on the elements of algebra

James Bryce - 1837 - 322 σελίδες
...of the two first is even, then the sum of this sum and the third is even, and so on to the last. II. The sum or difference of two odd numbers is even;...numbers is odd. For all odd numbers are of the form 2яз±; 1 (Art. 48), therefore the sum or difference of two odd numbers is represented by (2nzfc 1...

The North American Arithmetic: For Advanced Scholars. part third

Frederick Emerson - 1839 - 300 σελίδες
...the cube. Property 1. The sum, or the difference of any two even numbers, is an even number. Prop. 2. The sum, or difference, of two odd numbers is even ; but the sum of three odd numbers is odd. Prop. 3. The sum of an even number of odd numbers is even; but the sum of an odd number of odd numbers...

Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 354 σελίδες
...more even numbers, is an even number. 2. The difference of any two even numbers is an even number. 3. The sum or difference of two odd numbers, is even ; but the sum of three odd numbers, is odd. 4. The sum of any even number of odd numbers is even ; but the sum of any odd number of odd numbers...

Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 362 σελίδες
...more even numbers, is an even number. 2. The difference of any two even numbers, is an even number. 3. The sum or difference of two odd numbers, is even ; but the sum of three odd numbers, is odd. 4. The sum of any even number of odd numbers, is even ; but the sum of any odd number of odd numberss...

Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 402 σελίδες
...more even numbers, is an even number. 2. The difference of any two even numbers is an even number. 3. The sum or difference of two odd numbers, is even; but the- sum of three odd numbers, is odd. 4. The sum of any even number of odd numbers is even ; but the sum of any odd number of odd numbers...

A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - 1846 - 542 σελίδες
...A=2ra and B=2n' be any two even numbers ; then which, being of the form 2n, is an even number. II. The sum or difference of two odd numbers is even, but the sum of three odd numbers is odd. Let A=2»+l, B=2n'+l, and C=2ra"+l, be three odd numbers; then A+B=2n+2n'+2=2B", and A+B + C=2n+2n'+2n"-...




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