## The new encyclopaedia Britannica: in 32 vol. Macropaedia, Accounting - Architecture, Volume 13 |

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Page 442

that includes all fractions p/q in which p and q are

comprises the rational numbers. However, the ancient Greeks discovered that

some naturally occurring geometric lengths, such as the diagonal of a unit square

, ...

that includes all fractions p/q in which p and q are

**integers**and q is not zerocomprises the rational numbers. However, the ancient Greeks discovered that

some naturally occurring geometric lengths, such as the diagonal of a unit square

, ...

Page 443

The second feature, of infinite divisibility, is the crudest way of expressing the

principle that the real-number system is continuous and not discrete like the

system of positive

from ...

The second feature, of infinite divisibility, is the crudest way of expressing the

principle that the real-number system is continuous and not discrete like the

system of positive

**integers**. The laws of addition are frequently intuitively obviousfrom ...

Page 452

The simplest example of a sequence is that of the positive

. . . . A sequence may be finite or infinite, depending on whether the number of

terms is limited or unlimited. An infinite sequence of numbers exists if every ...

The simplest example of a sequence is that of the positive

**integers**1, 2, 3, . . . , n,. . . . A sequence may be finite or infinite, depending on whether the number of

terms is limited or unlimited. An infinite sequence of numbers exists if every ...

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