Locus (mathematics)

locus of a circle, ellipses and hyperbolas

In geometry, a locus (plural: loci) is one of a set of points which satisfies one or more conditions.^[1]^[2] The usual results are a curve or a surface.^[3] For example, all points in a plane an equal distance from a center point result in a circle.^[3]

Locus (mathematics) Media

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 $l$ .
(distance PA) = 3.(distance PB)
determine the locus of the third vertex C such that the medians from A en C are orthogonal.
The locus of the third vertex C such that the medians from A en C are orthogonal.
The intersection point of the associated lines k and l describes the circle

References

↑ James, Robert Clarke. Mathematics Dictionary (1992)Springer. p. 255. ISBN 978-0-412-99041-0.
↑ Whitehead, Alfred North. An Introduction to Mathematics (1911)H. Holt. p. 121. ISBN 978-1-103-19784-2.
↑ ^3.0 ^3.1 Definition of LocusMathsIsFun.com. Retrieved 17 July 2015.

[James-1] James, Robert Clarke. Mathematics Dictionary (1992)Springer. p. 255. ISBN 978-0-412-99041-0.

[2] Whitehead, Alfred North. An Introduction to Mathematics (1911)H. Holt. p. 121. ISBN 978-1-103-19784-2.

[MIF-3] 3.0 ^3.1 Definition of LocusMathsIsFun.com. Retrieved 17 July 2015.

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