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GEOMETRY AND MEASURES

Concave

Adjective to describe a line or surface curving inwards (like the shape of a cave). A concave polygon has at least one re-entrant angle i.e. one interior angle greater than 180 degrees

 


Concentric

Used to describe circles that have the same centre, e.g. in some castles two turrets are built around each other for double the protection; their cross sections will form concentric circles.

Cone

A 3D shape consisting of a circular base, a vertex (point) in a different plane, and line segments joining all the points on the circle circumference to the vertex.


Consecutive

Following in order. Consecutive numbers are adjacent in a count. Examples: 5, 6, 7 are consecutive numbers. 25,30,35 are consecutive multiples of 5. In a polygon, consecutive sides share a common vertex and consecutive angles share a common side.


Convex

Adjective to describe a line or surface that describes outwards, like the shape of a circle. .

A convex polygon has all its interior angles less than or equal to 180 degrees


Corner

In elementary geometry, a point where two or more lines or line segments meet.

Also called a vertex, or vertices (plural). Example: a rectangle has 4 vertices; a cube has 8.

Corresponding Angles

Where two straight-line segments are intersected by a third, as in the diagrams, the angles

Angles

a and e are corresponding. Similarly b and f, c and g and d and h are corresponding. Where parallel lines are cut by a straight line, corresponding angles are equal.

Cross-section

In geometry, a section in which the plane that cuts a figure is at right angles to an axis of the figure. Example: In a cube, a square is revealed when a plane cuts at right angles through a face.


Cube

1. In geometry, a three-dimensional figure with six identical, square faces. Adjoining edges and faces are at right angles.

2. In number and algebra, the result of multiplying the same value by itself, then by itself again.

Example: 2 x 2 x 2 is written a 23.

This is said as '2 cubed', or '2 to the power of three'.


Cubic

Adjective to describe a mathematical expression of degree three, i.e. with a power equal to 3. 

A cubic polynomial is one of the type ax3 + bx2 + cx +d, where the highest power is equal to 3. The coefficients b,c, and d could equal zero which would just leave the cubic term.



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