Four Theorems with Their Foci on Ellipses

期刊介绍

The Monthly's readers expect a high standard of exposition; they look for articles that inform, stimulate, challenge, enlighten, and even entertain. Monthly articles are meant to be read, enjoyed, and discussed, rather than just archived. Articles may be expositions of old or new results, historical or biographical essays, speculations or definitive treatments, broad developments, or explorations of a single application. Novelty and generality are far less important than clarity of exposition and broad appeal. Appropriate figures, diagrams, and photographs are encouraged.Notes are short, sharply focused, and possibly informal. They are often gems that provide a new proof of an old theorem, a novel presentation of a familiar theme, or a lively discussion of a single issue.Abstracts for articles or notes should entice the prospective reader into exploring the subject of the paper and should make it clear to the reader why this paper is interesting and important. The abstract should highlight the concepts of the paper rather than summarize the mechanics. The abstract is the first impression of the paper, not a technical summary of the paper. Excessive use of notation is discouraged as it can limit the interest of the broad readership of the MAA, and can limit search-ability of the article.

《月刊》的读者期待高标准的论述;他们寻找的文章，通知，刺激，挑战，启发，甚至娱乐。每月的文章是为了阅读，享受和讨论，而不仅仅是存档。文章可以是对旧的或新的结果的阐述，历史或传记文章，推测或确定的治疗，广泛的发展，或探索一个单一的应用。新奇和一般性远不如清晰的阐述和广泛的吸引力重要。鼓励使用适当的数字、图表和照片。笔记要简短、重点突出，并可能是非正式的。它们通常是对一个旧定理的新证明，对一个熟悉的主题的新颖介绍，或对一个问题的生动讨论。文章或笔记的摘要应该吸引潜在的读者去探索论文的主题，并应该让读者清楚为什么这篇论文是有趣的和重要的。摘要应该突出论文的概念，而不是总结力学。摘要是对论文的第一印象，而不是对论文的技术总结。不鼓励过度使用符号，因为它会限制MAA广大读者的兴趣，并会限制文章的搜索能力。

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