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  2. Locus (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Locus_(mathematics)

    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.

  3. Smale's problems - Wikipedia

    en.wikipedia.org/wiki/Smale's_problems

    Smale's problems is a list of eighteen unsolved problems in mathematics proposed by Steve Smale in 1998 [1] and republished in 1999. [2] Smale composed this list in reply to a request from Vladimir Arnold, then vice-president of the International Mathematical Union, who asked several mathematicians to propose a list of problems for the 21st century.

  4. GCSE - Wikipedia

    en.wikipedia.org/wiki/GCSE

    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.

  5. GCE Ordinary Level (United Kingdom) - Wikipedia

    en.wikipedia.org/wiki/GCE_Ordinary_Level_(United...

    O-level logo. The General Certificate of Education (GCE) Ordinary Level, also called the O-level or O level, was a subject-based academic qualification.Introduced in 1951 as a replacement for the 16+ School Certificate (SC), the O-level would act as a pathway to the new, more in-depth and academically rigorous A-level (Advanced Level), in England, Wales and Northern Ireland.

  6. List of interactive geometry software - Wikipedia

    en.wikipedia.org/wiki/List_of_interactive...

    There are three main types of computer environments for studying school geometry: supposers [vague], dynamic geometry environments (DGEs) and Logo-based programs. [2] Most are DGEs: software that allows the user to manipulate ("drag") the geometric object into different shapes or positions.

  7. Focus (geometry) - Wikipedia

    en.wikipedia.org/wiki/Focus_(geometry)

    It is also possible to describe all conic sections in terms of a single focus and a single directrix, which is a given line not containing the focus. A conic is defined as the locus of points for each of which the distance to the focus divided by the distance to the directrix is a fixed positive constant, called the eccentricity e.

  8. Simson line - Wikipedia

    en.wikipedia.org/wiki/Simson_line

    Simson lines (in red) are tangents to the Steiner deltoid (in blue).. The Simson line of a vertex of the triangle is the altitude of the triangle dropped from that vertex, and the Simson line of the point diametrically opposite to the vertex is the side of the triangle opposite to that vertex.

  9. Problem of Apollonius - Wikipedia

    en.wikipedia.org/wiki/Problem_of_Apollonius

    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.

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