Locus vs Conchoid - What's the difference?
locus | conchoid |
A place or locality, especially a centre of activity or the scene of a crime.
(mathematics) The set of all points whose coordinates satisfy a given equation or condition.
(genetics) A fixed position on a chromosome that may be occupied by one or more genes.
(mathematics, geometry) Any of a family of curves defined as the locus of points p'', such that each ''p'' is on a line that passes through a given fixed point ''P'' and intersects a given curve, ''C'', and the distance from ''p'' to the point of intersection with ''C'' is a specified constant (note that for nontrivial cases two such points ''p satisfy the criteria, and the resultant curve has two parts).
:The conchoid of a circle with respect to a point on the circle is a cardioid if the fixed distance is equal to the diameter of the circle.
:The Conchoid of Nicomedes is the conchoid of a straight line with respect to a point not on the line.
* 1815 , Charles Hutton, '', entry in ''A Philosophical and Mathematical Dictionary , Volume 2,
* 1982 , J. Lee Kavanau, Curves and Symmetry , Volume 1,
* 2007 , James Stewart, Single Variable Calculus , Volume 2,
* 2009 , Niccolò Guicciardini, Isaac Newton on Mathematical Certainty and Method ,
(geology) A conchoidal fracture in rock.
* 1948 , Tennessee Valley Authority, The Hiwassee Valley Projects , Technical Report, Issue 5, Volume 2,
As nouns the difference between locus and conchoid
is that locus is a place or locality, especially a centre of activity or the scene of a crime while conchoid is any of a family of curves defined as the locus of points p, such that each p is on a line that passes through a given fixed point P and intersects a given curve, C, and the distance from p to the point of intersection with C is a specified constant (note that for nontrivial cases two such points p satisfy the criteria, and the resultant curve has two parts).locus
English
Noun
(loci)- The cafeteria was the locus of activity.
- A circle is the locus of points from which the distance to the center is a given value, the radius.
Usage notes
* sometimes confused with locustconchoid
English
(wikipedia conchoid)Noun
(en noun)page 147,
- He next treats of the properties of the Conchoid , which Nicomedes invented for doubling the cube; applying it to the solution of certain problems concerning Inclinations, with the finding of two mean proportionals, and cubes in any proportion whatever.
page 3,
- The classical conchoid construction is a non-orthogonal'' ''polar-curvilinear construction in which equal distances along a line are marked off from its point of intersection with a curve for various positions of the line as it rotates about a point.
page 662,
- These curves are called conchoids of Nicomedes' after the ancient Greek scholar Nicomedes. He called them ' conchoids because the shape of their outer branches resembles that of a conch shell or mussel shell.
page 68,
- One of the best choices is the conchoid , according to Newton the simplest curve after the circle.
page 359,
- Conchoids of sound rock, from a few feet to 20 or more feet in diameter, entirely surrounded by comparatively thin layers of weathered material, were frequently encountered, sometimes in adjacent series.