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Angle vs Vertex - What's the difference?

angle | vertex |

In geometry terms the difference between angle and vertex

is that angle is (measure of such a figure) The measure of such a figure. In the case of a plane angle, this is the ratio (or proportional to the ratio) of the arc length to the radius of a section of a circle cut by the two rays, centered at their common point. In the case of a solid angle, this is the ratio of the surface area to the square of the radius of the section of a sphere while vertex is the common point of the two rays of the angle, or its equivalent structure in polyhedra (meeting of edges) and higher order polytopes.

In astrology terms the difference between angle and vertex

is that angle is any of the four cardinal points of an astrological chart: the Ascendant, the Midheaven, the Descendant and the Imum Coeli while vertex is the point where the prime vertical meets the ecliptic in the western hemisphere of a natal chart.

As a verb angle

is to place (something) at an angle.

angle

English

Etymology 1

From (etyl), from (etyl) angle, from (etyl) .

Noun

(en noun)
  • (senseid)(geometry) A figure formed by two rays which start from a common point (a plane angle) or by three planes that intersect (a solid angle).
  • (senseid)(geometry) The measure of such a figure. In the case of a plane angle, this is the ratio (or proportional to the ratio) of the arc length to the radius of a section of a circle cut by the two rays, centered at their common point. In the case of a solid angle, this is the ratio of the surface area to the square of the radius of the section of a sphere.
  • A corner where two walls intersect.
  • A change in direction.
  • * {{quote-magazine, year=2013, month=July-August, author= Fenella Saunders, magazine=(American Scientist)
  • , title= Tiny Lenses See the Big Picture , passage=The single-imaging optic of the mammalian eye offers some distinct visual advantages. Such lenses can take in photons from a wide range of angles , increasing light sensitivity. They also have high spatial resolution, resolving incoming images in minute detail.}}
  • (senseid) A viewpoint; a way of looking at something.
  • * {{quote-magazine, date=2013-01
  • , author=Katie L. Burke, volume=101, issue=1, page=64, magazine=(American Scientist) , title= Ecological Dependency , passage=In his first book since the 2008 essay collection Natural Acts: A Sidelong View of Science and Nature , David Quammen looks at the natural world from yet another angle : the search for the next human pandemic, what epidemiologists call “the next big one.”}}
  • * 2005 , Adams Media, Adams Job Interview Almanac (page 299)
  • For example, if I was trying to repitch an idea to a producer who had already turned it down, I would say something like, "I remember you said you didn't like my idea because there was no women's angle . Well, here's a great one that both of us must have missed during our first conversation."
  • (media) The focus of a news story.
  • (slang, professional wrestling) A storyline between two wrestlers, providing the background for and approach to a feud.
  • (slang) A scheme; a means of benefitting from a situation, usually hidden, possibly illegal.
  • A projecting or sharp corner; an angular fragment.
  • * Dryden
  • though but an angle reached him of the stone
  • (astrology) Any of the four cardinal points of an astrological chart: the Ascendant, the Midheaven, the Descendant and the Imum Coeli.
  • Synonyms
    * (corner) corner * (change in direction) swerve * (vertex) -gon (as per hexagon) * (viewpoint) opinion, perspective, point of view, slant, view, viewpoint
    Derived terms
    * acute angle * acute-angled * angle quote * angle bracket * central angle * complementary angle * dihedral angle * exterior angle * interior angle * oblique angle * obtuse-angled * opposite angle * pentangle * plane angle * play the angles * quadrangle * rectangle * right angle * round angle * solid angle * straight angle * supplementary angle * triangle * vertical angle
    See also
    * arcminute * arcsecond * degree * gradian * radian

    Verb

    (angl)
  • (often in the passive) To place (something) at an angle.
  • The roof is angled at 15 degrees.
  • (informal) To change direction rapidly.
  • The five ball angled off the nine ball but failed to reach the pocket.
  • (informal) To present or argue something in a particular way or from a particular viewpoint.
  • How do you want to angle this when we talk to the client?
  • (snooker) To leave the cue ball in the jaws of a pocket such that the surround of the pocket (the "angle") blocks the path from cue ball to object ball.
  • Etymology 2

    From (etyl) .

    Verb

    (angl)
  • To try to catch fish with a hook and line.
  • (informal) (with for ) To attempt to subtly persuade someone to offer a desired thing.
  • He must be angling for a pay rise.
    Derived terms
    * *

    Noun

    (en noun)
  • A fishhook; tackle for catching fish, consisting of a line, hook, and bait, with or without a rod.
  • * Shakespeare
  • Give me mine angle : we'll to the river there.
  • * Alexander Pope
  • A fisher next his trembling angle bears.

    Anagrams

    * ----

    vertex

    English

    (wikipedia vertex)

    Noun

    (en-noun)
  • The highest point of something.
  • (anatomy) The highest surface on the skull.
  • (geometry) The common point of the two rays of the angle, or its equivalent structure in polyhedra (meeting of edges) and higher order polytopes.
  • (mathematics) A point on the curve with a local minimum or maximum of curvature.
  • (graph theory) One of the elements of a graph joined or not by edges to other vertices.
  • (computer graphics) A point in space, usually given in terms of its Cartesian coordinates.
  • (optics) The point where the surface of a lens crosses the optical axis.
  • (nuclear, or, particle physics) An interaction point.
  • (astrology) The point where the prime vertical meets the ecliptic in the western hemisphere of a natal chart.
  • Synonyms

    * (highest point) acme, apex, peak, top * (part of a graph) node

    Derived terms

    * vertexal, vertexial

    See also

    * Mathworld article on vertices of polyhedra * Mathworld article on verticies of polygons ----