Curve vs Conchoid - What's the difference?
curve | conchoid |
(obsolete) Bent without angles; crooked; curved.
A gentle bend, such as in a road.
A simple figure containing no straight portions and no angles; a curved line.
A grading system based on the scale of performance of a group used to normalize a right-skewed grade distribution (with more lower scores) into a bell curve, so that more can receive higher grades, regardless of their actual knowledge of the subject.
(analytic geometry) A continuous map from a one-dimensional space to a multidimensional space.
(geometry) A one-dimensional figure of non-zero length; the graph of a continuous map from a one-dimensional space.
(algebraic geometry) An algebraic curve; a polynomial relation of the planar coordinates.
(topology) A one-dimensional continuum.
(informal, usually in plural) The attractive shape of a woman's body.
To bend; to crook.
To cause to swerve from a straight course.
To bend or turn gradually from a given direction.
To grade on a curve (bell curve of a normal distribution).
(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 curve and conchoid
is that curve is a gentle bend, such as in a road 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).As an adjective curve
is bent without angles; crooked; curved.As a verb curve
is to bend; to crook.curve
English
Adjective
- a curve line
- a curve surface
Noun
(wikipedia curve) (en noun)- You should slow down when approaching a curve .
- She scribbled a curve on the paper.
- The teacher was nice and graded the test on a curve
Derived terms
* algebraic curve * * closed curve * cosine curve * curvaceous * curvy * dragon curve * elliptic curve * learning curve * Lissajous curve * Jordan curve * multicurve * nonsimple curve * open curve * pedal curve * plane curve * pursuit curve * simple curve * sine curve * space curve * spherical curveVerb
(curv)- to curve a line
- to curve a pipe
- to curve a ball in pitching it
- the road curves to the right
- The teacher will curve the test.
conchoid
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.