The lead section should include, when appropriate: In Euclidean plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane. In mathematics, topology (from the Greek τόπος, 'place', and λόγος, 'study') is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling and bending, but not tearing or gluing. The lead sentence should informally define or describe the subject. A reader can be assumed to be ignorant of any topics outside of that scope or more advanced topics. For articles that are on these subjects, or on simpler subjects, it can be assumed that the reader is not familiar with the aforementioned subjects. It is safe to assume that a reader is familiar with the subjects of arithmetic, algebra, geometry, and that they may have heard of calculus, but are likely unfamiliar with it. The lead sentence should state that the article is about a topic in mathematics, unless the title already does so. In general, the lead sentence should include the article title, or some variation thereof, in bold along with any alternate names, also in bold. In the latter case the LaTeX source is displayed without the tags and. For having formulae displayed when hovering, they must be written in raw html (without templates ), or in LaTeX (inside. Formulas should appear in the first paragraph only if necessary, since they will not be displayed in the preview that pops up when hovering over a link. The lead should, as much as possible, be accessible to a general reader, so specialized terminology and symbols should be avoided. and summarize the article's most important points.Main page: Wikipedia:Manual of Style/Lead sectionĪrticles should start with a short introductory section, called the "lead".
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