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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.
Thiessen polygon

Thiessen polygon   Quick reference

A Dictionary of Geography (5 ed.)

Reference type:
Subject Reference
Current Version:
2015

...polygon A subdivision of a drainage basin, containing a rain gauge. Polygons are constructed by first siting the rain gauges, plotting them on a base map, and connecting the sites by straight lines. The lines are bisected with perpendiculars, which meet to form the polygons. The areas of the polygons are calculated and expressed as fractions of the total area. Each fraction is multiplied by the precipitation recorded by its rain gauge. The sum of these calculations represents total precipitation over the catchment area. For an account, see Yoo et al....

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.
Brillouin zone

Brillouin zone  

A cell in a reciprocal lattice. The first Brillouin zone is the cell of smallest volume enclosed by those planes that are perpendicular bisectors of reciprocal lattice vectors. Higher Brillouin zones ...
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 ...
skeletagenous septum

skeletagenous septum  

One of a series of segments which develop along the notochord and are separated by myosepta. Septa occur in two planes. Dorsal and ventral septa are plate-like processes which grow dorsally and ...
Wigner-Seitz cell

Wigner-Seitz cell  

A polyhedron in a crystal that is bounded by planes formed by perpendicular bisectors of bonds between lattice sites. The Wigner-Seitz cell was used by Hungarian-born US physicist Eugene Wigner ...
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 ...
Schoenflies system

Schoenflies system  

A system for categorizing symmetries of molecules. Cn groups contain only an n-fold rotation axis. Cnv groups, in addition to the n-fold rotation axis, have a mirror plane that contains the axis of ...
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 ...
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...

skeletagenous septum

skeletagenous septum   Quick reference

A Dictionary of Zoology (4 ed.)

Reference type:
Subject Reference
Current Version:
2014
Subject:
Science and technology, Life Sciences
Length:
83 words

...septum One of a series of segments which develop along the notochord and are separated by myosepta . Septa occur in two planes. Dorsal and ventral septa are plate-like processes which grow dorsally and ventrally to the notochord; horizontal septa bisect this plane perpendicularly. Mesenchymal cells migrate to the skeletagenous septa during the gastrula stage of embryogenesis to form sclerotomic tissue ( see somite ). At the junction between the myoseptum and skeletagenous septum vertebrae develop; they are consequently intersegmental...

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