Math Dictionary c
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Cartesian coordinates :
An ordered pair of real numbers that establishes the location or address of a point in a coordinate plane using the distances from two perpendicular intersecting lines called the coordinate axes.
Cartesian plane :
The set of all points in a plane designated by their Cartesian coordinates.
Center of a dilation :
A fixed point in the plane about which all points are expanded or contracted; the only invariant point under dilation.
Center of gravity :
The balance point of an object.
Center of a regular polygon
The center of the circle which circumscribes or inscribes a regular polygon.
Center of a rotation :
A fixed point in the plane about which all points are rotated.
Center-radius equation of a circle :
The form of the equation of a circle with center (h, k) and radius r given by the formula (x − h)2
+ ( y − k )2
Central angle :
An angle in a circle with vertex at the center of the circle and sides that are radii.
Central angle of a regular polygon :
An angle in a regular polygon with vertex at the center of the polygon and sides that are radii of its circumcircle.
The point of concurrency of the medians of a triangle; the center of gravity in a triangle.
A line segment joining any two points on a circle. The diameter is the largest chord of a circle.
The set of all points (or locus of points) in a plane that are a fixed distance, (called the radius) from a fixed point, (called the center).
Circle graph :
Pie chart is called a circle graph.
The center of the circle circumscribed about a polygon; the point that is equidistant from the vertices of any polygon.
A circle that passes through all of the vertices of a polygon. Also called a circumscribed circle.
The length of or distance around a circle. The formula for circumference is C= 2π r =π d
The direction in which the hands of a clock move around the dial. Used to indicate the orientation of a transformation.
A set "S" and a binary operation "*" are said to exhibit closure if applying the binary operation to any two elements in "S" produces a value that is a member of "S".
Collinear points :
Points that lie on the same line.
Common tangents :
Lines that are tangent to two or more circles.
In Geometry, it means to draw shapes, angles or lines accurately.
Construction of Angles :
It needs mainly compass and ruler.
Construction of Triangles :
Construction of Triangles one needs to know three values (either sides S or angles A): SSS, SAS, ASA and right triangle ( HL or RHS )
Complementary angles :
Two angles the sum of whose measures is 90 degrees.
Composition of functions :
A way of combining functions in which the output of one function is used as the input of another function; the formation of a new function h from functions f and g using the rule
h(x) = g 0 f (x) = g [ f (x)] for all x in the domain of f for which f (x) is in the domain of g .
A set of points satisfying two or more locus conditions.
Compound statement :
A statement formed from two or more simple statements using the logic connectives, or, and, if...then, or if and only if.
Concave polygon :
A polygon that has at least one diagonal outside the polygon. concave polygon
Two or more circles having the same center and different radii.
An answer or solution arrived at through logical or mathematical reasoning; the "then" clause in an "if-then" statement; the final statement in a proof which follows logically from previous true statements.
The concept of three or more lines intersecting in a single (common) point; having a single point of intersection.
Conditional statement :
A statement formed from two given statements by connecting them in the form if..., then...
A solid formed by a circular region (the base) and the surface formed by the straight line segments connecting points on the boundary of the base with a fixed point (the vertex) not in the plane of the base.
An educated guess; an unproven hypothesis based on observation, experimentation, data collection, etc.
A compound statement formed using the word "and".
A conjunction is true only if both clauses are true.
Having the same size and shape. Two angles are congruent if the have the same measure. Two polygons are congruent if their exists a one-to-one correspondence between their vertices such that their corresponding sides are congruent and their corresponding angles are congruent.
Conic sections :
The plane section created by the intersection of a plane and a cone.Example : Parabola,ellipse circle etc.
A property of an axiomatic system where no axiom(s) can be used to contradict any other axiom(s).
Constant of proportionality :
The number representing the ratio of any two corresponding sides in two similar geometric figures.
To draw a figure using only a compass and a straightedge.
Any restriction placed on the variables in a problem.
A statement that has been shown to be both true and false.
Contrapositive of a statement :
A statement formed by interchanging the hypothesis and conclusion of a conditional statement and negating each clause.
Converse of a statement :
A statement formed by interchanging the hypothesis and conclusion of a conditional statement
Convex polygon :
A polygon is convex if a line segment connecting any two points of the polygon lies entirely in the polygon’s interior.
Coordinate geometry :
An approach to geometry in which a point is represented by coordinates and algebraic methods of reasoning are used; also called analytical geometry.
Coordinate plane :
The set of all points in a plane designated by their Cartesian coordinates. Also called the Cartesian plane.
Any three or more points that lie in the same plane.
Corresponding angles :
A set of angles formed on each of two or more lines cut by a transversal that are in the same position relative to each line and to the transversal.Angle formed at the letter "F"
In two geometric figures, the points, sides, and/or angles which are in the same relative position when the figures are placed in a one-to-one correspondence.
The direction opposite the way in which the hands of a clock move around the dial. Used to indicate the orientation of a rotation.
An example that disproves a general statement.
A plane section perpendicular to the longest axis of a solid.
A polyhedron with six square faces. A cube (or hexahedron) is one of the five platonic solids.
Cyclic Quadrilateral :
A quadrilateral is called cyclic quadrilateral if its all vertices lie on a circle.
Math Dictionary c
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