A

X SPECIAL TOPICS IN THEORETICAL ARITHMETIC

ARTICLE

136. Comparison of radices
137-141. The best radix

142-152. Systems of measurement
153. The tyranny of ten

CHAPTER III

CONGRUENCE

155. Composit. Prime

157. Prime to

166. Greatest common factor

172. Least common multiple

176. Congruence. Modulus

225. Casting out the modulus .

226, 229. Algorithm of Euclid .

238. Principle of mathematical induction .

242. Determinant

291. Periodicity. g

293. Cyclical arrangement.

301. Fermat’s theorem . :

305. Even multiple. 0Odd multlple .

310. Checking arithmetical work

393. Casting out the threes, nines, elevens, sevens, thlrteens
395. Casting out the threes, fives, fifteens, seventeens

CHAPTER IV

INDETERMINATE EQUATIONS OF THE FIRST DEGREE
IN Two UNKNOWNS

398. Indeterminate equations

399, Integral solutions. Possible equatxons Impossible equations.

403. Equivalent equations.
407. Complete solution ; i ; : : 3 ;
412. Arithmetic sequence. Central term. Common difference

CHAPTER V

MATHEMATICAL RECREATIONS

420. Complement
428. Excess . 3
458, Excess rule for addltlon X . . . B .

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