Encyclopaedia Br
Encyclopaedia Britannica, 11th Edition, "Constantine Pavlovich" to "Convention" Volume 7, Slice 2
作者：Various
体例：题 章数：26
字数：320,947 来源：Project Gutenberg
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- 按「题」标记切分为 26 题（Gutenberg 卷册标记）。
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- 原文溯源
cache/epub/30935/pg30935.txt（Project Gutenberg）
章节目录
共 26 题- ENCYCLOPAEDIA BRITANNICA
- A DICTIONARY OF ARTS, SCIENCES, LITERATURE AND GENERAL INFORMATION
- ELEVENTH EDITION
- VOLUME VII slice II
- CONSTANTINE PAVLOVICH to CONVENTION
- FOOTNOTES:
- CONSTELLATION
- FOOTNOTE:
- FOOTNOTES:
- CONTINUED FRACTIONS. In mathematics, an expression of the form
- Continental writers frequently use the notation
- The terminating continued fractions
- We have the relations
- Taking the quantities a1 ..., b2 ... to be all positive, a continued
- The difference between the continued fraction and the n^{th} convergent
- Here we have
- Let the continued fraction of the first class be reduced to the form
- Two cases have been given by Legendre as follows:--
- If a2, a3, ..., a_n, b2, b3, ...,b_n are all positive integers, then
- The continuant
- We have
- Gauss in his famous memoir on the hypergeometric series
- F([alpha], [beta], [gamma], x) =
- It is obviously equal to the series
- FOOTNOTE:
- FOOTNOTES: