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perpendicular bisector

The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.

perpendicular bisector

perpendicular bisector   Quick reference

The Concise Oxford Dictionary of Mathematics (5 ed.)

Reference type:
Subject Reference
Current Version:
2014

... bisector The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB...

perpendicular bisector

perpendicular bisector  

The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.
bisector

bisector   Quick reference

The Concise Oxford Dictionary of Mathematics (5 ed.)

Reference type:
Subject Reference
Current Version:
2014

... The line that divides an angle into two equal angles. See also internal bisector , external bisector and perpendicular bisector...

kite

kite   Quick reference

The Concise Oxford Dictionary of Mathematics (5 ed.)

Reference type:
Subject Reference
Current Version:
2014
Subject:
Science and technology, Mathematics and Computer Science
Length:
42 words
Illustration(s):
1

...A quadrilateral that has two adjacent sides of equal length and the other two sides of equal length. If the kite ABCD has AB = AD and CB = CD , the diagonals AC and BD are perpendicular, and AC bisects BD...

circumcentre

circumcentre   Quick reference

The Concise Oxford Dictionary of Mathematics (5 ed.)

Reference type:
Subject Reference
Current Version:
2014
Subject:
Science and technology, Mathematics and Computer Science
Length:
38 words
Illustration(s):
1

...The circumcentre of a triangle is the centre of the circumcircle of the triangle. It is the point O , shown in the figure, at which the perpendicular bisectors of the sides of the triangle are...

axis of symmetry

axis of symmetry   Quick reference

The Concise Oxford Dictionary of Mathematics (5 ed.)

Reference type:
Subject Reference
Current Version:
2014

...of symmetry A line in which the mirror image of a curve or geometrical figure maps onto itself. The condition for this is that for each point P on the curve or figure the point P ′ is also, where the axis is the perpendicular bisector of PP...

pedal triangle

pedal triangle   Quick reference

The Concise Oxford Dictionary of Mathematics (5 ed.)

Reference type:
Subject Reference
Current Version:
2014

...triangle In the triangle with vertices A , B , and C , let D , E and F be the feet of the perpendiculars from A , B and C , respectively, to the opposite sides, so that AD , BE and CF are the altitudes . The triangle DEF is called the pedal triangle. The altitudes of the original triangle bisect the angles of the pedal...

equidistant

equidistant   Quick reference

The Concise Oxford Dictionary of Mathematics (5 ed.)

Reference type:
Subject Reference
Current Version:
2014
Subject:
Science and technology, Mathematics and Computer Science
Length:
72 words
Illustration(s):
3

...Being the same distance from one or more points or objects. The perpendicular bisector of the line segment AB is the set of points equidistant from A and B . The set of points equidistant from a fixed point is a circle in two dimensions and a sphere in three dimensions. The set of points equidistant from a line segment is formed by a pair of parallel line segments with two...

locus

locus   Quick reference

The Concise Oxford Dictionary of Mathematics (5 ed.)

Reference type:
Subject Reference
Current Version:
2014

...the plane) is the set of all points in the plane that satisfy some given condition or property. For example, the locus of all points that are a given distance from a fixed point is a circle; the locus of all points equidistant from two given points, A and B , is the perpendicular bisector of AB . If, in a given coordinate system, a locus can be expressed in the form {( x , y ),| f ( x , y )=0}, the equation f ( x , y )=0 is called an equation of the locus (in the given coordinate system). The equation may be said to ‘represent’ the...

bisector

bisector  

The line that divides an angle into two equal angles. See also internal bisector, external bisector and perpendicular bisector.
circumcentre

circumcentre  

The circumcentre of a triangle is the centre of the circumcircle of the triangle. It is the point O, shown in the figure, at which the perpendicular bisectors of the sides of the triangle are ...
kite

kite  

A quadrilateral that has two adjacent sides of equal length and the other two sides of equal length. If the kite ABCD has AB=AD and CB=CD, the diagonals AC and BD are perpendicular, and AC bisects BD.
equidistant

equidistant  

Being the same distance from one or more points or objects. The perpendicular bisector of the line segment AB is the set of points equidistant from A and B.The set of points equidistant from a fixed ...
axis of symmetry

axis of symmetry  

A line in which the mirror image of a curve or geometrical figure maps onto itself. The condition for this is that for each point P on the curve or figure the point P′ is also, where the axis is the ...
pedal triangle

pedal triangle  

In the triangle with vertices A, B, and C, let D, E and F be the feet of the perpendiculars from A, B and C, respectively, to the opposite sides, so that AD, BE and CF are the altitudes. The triangle ...
locus

locus  

A locus (in the plane) is the set of all points in the plane that satisfy some given condition or property. For example, the locus of all points that are a given distance from a fixed point is a ...

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