 | Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...that will divide them without a remainder ; thus, 2 is a common divisor of 4, 8, and 10. 196i A common divisor of two numbers is a divisor of their sum, and also of their difference. Thus, 6, a common divisor of 12 and 18, is a divisor of their sum, 40, and of their difference, 6.... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...that will divide them without a remainder ; thus, 2 is a common divisor of 4, 8, and 10. 196, A common divisor of two numbers is a divisor of their sum, and also of their difference. Thus, 6, a common divisor of 12 and 18, is a divisor of their sum, 40, and of their difference, 6.... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 456 pages
...will divide them without a remainder ; thus, 2 is a common divisor of 4, 8, and 10. 196« A common divisor of two numbers is a divisor of their sum, and also of their difference. Thus, 6, a common divisor of 12 and 18, is a divisor of their sum, 40, and of their difference, C.... | |
 | Edward Brooks - Arithmetic - 1863 - 350 pages
...will enable the pupil to understand the next method of greatest common divisor. PRIN. I. — A common divisor of two numbers is a divisor of their sum and also of their difference. DEM. — Take any two numbers, 12 and 20, of which 4 ii a common divisor. Now, 12 = 3 times four, and... | |
 | John Fair Stoddard - Arithmetic - 1868 - 356 pages
...2. — A divisor of a number is a divisor of any numbei of times that number. PBIN. 3. — A common divisor of two numbers is a divisor of their sum, and also of their difference. PEIN. 4. — The greatest common divisor of the difference of two numbers and one of them, is the greatest... | |
 | John Fair Stoddard - Arithmetic - 1888 - 480 pages
...2. — A divisor of a number is a divisor of any number of times that number. PRIN. 3. — A common divisor of two numbers is a divisor of their sum, and also of their difference. PBIN. 4. — The greatest common divisor of the difference of two numbers and one of them, is the greatest... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...theorem demonstrated for the purpose of using it in the demonstration of another theorem. ILL. — Thus, in order to demonstrate the rule for finding...Lemma is not much used, and is not very important, since most theorems, once proved, become in turn auxiliary to the proof of others, and hence might... | |
 | Edward Olney - 1872 - 270 pages
...theorem demonstrated for the purpose of using it in the demonstration of another theorem. ILL.—Thus, in order to demonstrate the rule for finding the greatest...Lemma is not much used, and is not very important, since most theorems, once proved, become in turn auxiliary to the proof of others, and hence might... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...theorem demonstrated for the purpose of using it in the demonstration of another theorem. ILL. — Thus, in order to demonstrate the rule for finding...difference." This theorem, when proved for such a purpose, is culled a Lemma. The term Lemma is not much used, and is not very important, since most theorems, once... | |
 | Edward Olney - Algebra - 1873 - 354 pages
...it is evident that it goes into n times 6, or nb, n times q, or nq times. 128. LEMMA 4. — A common divisor of two numbers is a divisor of their sum and also of their difference. DEM. — Let a be a CD of m and n, going into m, p times, and into n, q times. Then (те ± n) -f-... | |
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A divisor of two numbers is a divisor of their sum, and also of their difference. 
