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Perpendicular vs. Orthogonal

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Main Difference

The main difference between Perpendicular and Orthogonal is that 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 and Orthogonal is a relation of two lines at right angles.

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Wikipedia
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  • Perpendicular (adjective)

    At or forming a right angle (to something).

    "In most houses, the walls are perpendicular to the floor."

  • Perpendicular (adjective)

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

  • Perpendicular (noun)

    A line or plane that is perpendicular to another.

  • Perpendicular (noun)

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

  • Orthogonal (adjective)

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

    "A chord and the radius that bisects it are orthogonal."

  • Orthogonal (adjective)

    Statistically independent, with reference to variates.

  • Orthogonal (adjective)

    Of two or more aspects of a problem, able to be treated separately.

    "The content of the message should be orthogonal to the means of its delivery."

  • Orthogonal (adjective)

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

Wiktionary
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  • Perpendicular (adjective)

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

    "dormers and gables that extend perpendicular to the main roofline"

  • Perpendicular (adjective)

    at an angle of 90° to the ground; vertical

    "the perpendicular cliff"

  • Perpendicular (adjective)

    so steep as to be almost vertical

    "houses seem to cling by blind faith to the perpendicular hillside"

  • Perpendicular (adjective)

    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

    "the Perpendicular style"

    "the handsome Perpendicular church of St Andrew"

  • Perpendicular (noun)

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

    "at each division draw a perpendicular representing the surface line"

  • Perpendicular (noun)

    perpendicular position or direction

    "the wall declines from the perpendicular a little inward"

  • Orthogonal (adjective)

    of or involving right angles; at right angles.

  • Orthogonal (adjective)

    (of variates) statistically independent.

  • Orthogonal (adjective)

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

Oxford Dictionary
  • Perpendicular (adjective)

    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.

  • Perpendicular (adjective)

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

  • Perpendicular (noun)

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

  • Perpendicular (noun)

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

  • Orthogonal (adjective)

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

Webster Dictionary
  • Perpendicular (noun)

    a straight line at right angles to another line

  • Perpendicular (noun)

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

  • Perpendicular (noun)

    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

  • Perpendicular (noun)

    an extremely steep face

  • Perpendicular (adjective)

    intersecting at or forming right angles;

    "the axes are perpendicular to each other"

    "parallel lines never converge"

    "concentric circles are parallel"

    "dancers in two parallel rows"

  • Perpendicular (adjective)

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

    "a vertical camera angle"

    "the monument consists of two vertical pillars supporting a horizontal slab"

    "measure the perpendicular height"

  • Perpendicular (adjective)

    extremely steep;

    "the great perpendicular face of the cliff"

  • Orthogonal (adjective)

    not pertinent to the matter under consideration;

    "an issue extraneous to the debate"

    "the price was immaterial"

    "mentioned several impertinent facts before finally coming to the point"

  • Orthogonal (adjective)

    statistically unrelated

  • Orthogonal (adjective)

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

    "wind and sea may displace the ship's center of gravity along three orthogonal axes"

    "a rectangular Cartesian coordinate system"

Princeton's WordNet

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