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Each curve in this example is a locus defined as the conchoid of the point P and the line l.In this example, P is 8 cm from l. In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.
Additional Mathematics is a qualification in mathematics, commonly taken by students in high-school (or GCSE exam takers in the United Kingdom). It features a range of problems set out in a different format and wider content to the standard Mathematics at the same level.
Murderous Maths is a series of British educational books by author Kjartan Poskitt.Most of the books in the series are illustrated by illustrator Philip Reeve, with the exception of "The Secret Life of Codes", which is illustrated by Ian Baker, "Awesome Arithmetricks" illustrated by Daniel Postgate and Rob Davis, and "The Murderous Maths of Everything", also illustrated by Rob Davis.
Geometrically, one studies the Euclidean plane (two dimensions) and Euclidean space. As taught in school books, analytic geometry can be explained more simply: it is concerned with defining and representing geometric shapes in a numerical way and extracting numerical information from shapes' numerical definitions and representations.
CGP Revision Guides is the main product line published by CGP, covering a range of school subjects at KS1, KS2, KS3, 11+, 13+, GCSE, A-level and SATs. [3] CGP's books often incorporate a witty and humorous tone, occasionally informal and colloquial, making them clear and easy to understand.
The extent of the switching away from the terminal exam only GCSE to the IGCSEs in public and private schools was revealed in answers to a parliamentary question posed by Labour MP Lucy Powell in November 2018. The option to choose to do so is no longer open to state schools since the introduction of the new GCSEs graded 1–9.
[4] [5] [6] However, Mumford (1969) constructed an example of an abelian variety where Hdg 2 (X) is not generated by products of divisor classes. Weil (1977) generalized this example by showing that whenever the variety has complex multiplication by an imaginary quadratic field , then Hdg 2 ( X ) is not generated by products of divisor classes.
This special case of Apollonius' problem is also known as the four coins problem. [47] The three given circles of this Apollonius problem form a Steiner chain tangent to the two Soddy's circles. Figure 12: The two solutions (red) to Apollonius' problem with mutually tangent given circles (black), labeled by their curvatures.