VS.

# Perpendicular vs. Orthogonal

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(geometry) At or forming a right angle (to something).

âIn most houses, the walls are perpendicular to the floor.â;

(geometry) Of two objects, at right angles; perpendicular to each other.

âA chord and the radius that bisects it are orthogonal.â;

Exactly upright; extending in a straight line toward the centre of the earth, etc.

(mathematics)

Perpendicularnoun

(geometry) A line or plane that is perpendicular to another.

Of a pair of vectors: having a zero inner product; perpendicular.

âThe normal vector and tangent vector at a given point are orthogonal.â;

Perpendicularnoun

A device such as a plumb line that is used in making or marking a perpendicular line.

Of a square matrix: such that its transpose is equal to its inverse.

Exactly upright or vertical; pointing to the zenith; at right angles to the plane of the horizon; extending in a right line from any point toward the center of the earth.

Of a linear transformation: preserving its angles.

At right angles to a given line or surface; as, the line ad is perpendicular to the line bc.

Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.

Perpendicularnoun

A line at right angles to the plane of the horizon; a vertical line or direction.

(statistics) Statistically independent, with reference to variates.

Perpendicularnoun

A line or plane falling at right angles on another line or surface, or making equal angles with it on each side.

(software engineering) Of two or more aspects of a problem, able to be treated separately.

âThe content of the message should be orthogonal to the means of its delivery.â;

Perpendicularnoun

a straight line at right angles to another line

Of two or more problems or subjects, independent of or irrelevant to each other.

Perpendicularnoun

a Gothic style in 14th and 15th century England; characterized by vertical lines and a four-centered (Tudor) arch and fan vaulting

Right-angled; rectangular; as, an orthogonal intersection of one curve with another.

Perpendicularnoun

a cord from which a metal weight is suspended pointing directly to the earth's center of gravity; used to determine the vertical from a given point

not pertinent to the matter under consideration;

âan issue extraneous to the debateâ; âthe price was immaterialâ; âmentioned several impertinent facts before finally coming to the pointâ;

Perpendicularnoun

an extremely steep face

statistically unrelated

intersecting at or forming right angles;

âthe axes are perpendicular to each otherâ; âparallel lines never convergeâ; âconcentric circles are parallelâ; âdancers in two parallel rowsâ;

having a set of mutually perpendicular axes; meeting at right angles;

âwind and sea may displace the ship's center of gravity along three orthogonal axesâ; âa rectangular Cartesian coordinate systemâ;

at right angles to the plane of the horizon or a base line;

âa vertical camera angleâ; âthe monument consists of two vertical pillars supporting a horizontal slabâ; âmeasure the perpendicular heightâ;

of or involving right angles; at right angles.

extremely steep;

âthe great perpendicular face of the cliffâ;

(of variates) statistically independent.

at an angle of 90Â° to a given line, plane, or surface or to the ground

âdormers and gables that extend perpendicular to the main rooflineâ;

(of an experiment) having variates which can be treated as statistically independent.

at an angle of 90Â° to the ground; vertical

âthe perpendicular cliffâ;

so steep as to be almost vertical

âhouses seem to cling by blind faith to the perpendicular hillsideâ;

denoting the latest stage of English Gothic church architecture, prevalent from the late 14th to mid 16th centuries and characterized by broad arches, elaborate fan vaulting, and large windows with vertical tracery

âthe Perpendicular styleâ; âthe handsome Perpendicular church of St Andrewâ;

Perpendicularnoun

a straight line at an angle of 90Â° to a given line, plane, or surface

âat each division draw a perpendicular representing the surface lineâ;

Perpendicularnoun

perpendicular position or direction

âthe wall declines from the perpendicular a little inwardâ;

Perpendicular

In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.