## Elements of the Theory of Integers |

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### Common terms and phrases

algebraic sum Axiom bv b2 calld Chrystal commutativ law complex sum conditional statement congruent Definition direct theorem disjunctiv statement divided by ft divisor elements Encyklopadie follows immediately formd ft is positiv ft is zero ft mod given integers given numbers givs greater greatest common factor Hence hypothetical statement integer is prime integers av a2 Jordanus Nemorarius Law for Multiplication least common multiple left-handed lower approximate quotient Major Premis method of exhaustion minus sign modulus multiple of ft natural series negativ integer number of objects numerical value obtaind odd integer Operation of Finding positiv common factor positiv common multiple positiv factors positiv prime factor primary numbers prime positiv integers proof respectivly reverse the steps right-handed Schubert series of integers series of numbers Similarly standard sum Stolz und Gmeiner subtraction symbol Tannery tegers theorem is proved Therfor univalent zero integers

### Popular passages

Page 240 - М.) of two or more expressions is the product of all their different prime factors (§ 109), each taken the greatest number of times that it occurs as a factor in any one of the expressions. 121. Required the LCM of...

Page 188 - EF and 677 on the diagonal q' and the corresponding segments on r' and »' are the diameters of the three couples of spheres that intersect in the three circles X, Y, Z. These results may be stated in the form of a theorem as follows: THEOREM.

Page 155 - The operation of multiplication is always possible. The operation of division is possible only when the passiv number is a multiple of the activ number.

Page 221 - LCM as the largest number of times that it occurs in any one of the given expressions.

Page 174 - A factor is common to two or more numbers when it is a factor of each of them. Thus, 3 is a common factor of 12 and 15.