Rational Trigonometry - Spread

Spread

Spread gives one measure to the 'separation' of two lines (replacing 'angle'): a dimensionless number in the range '0' (parallel) to '1' (perpendicular), which can have several interpretations.


  • Trigonometric: as the sine-ratio for the quadrances in a right triangle (and therefore equivalent to the square of the sine of the angle).
  • Vector: as a rational function of the slopes (or directions) of two lines where they meet.
  • Cartesian: as a rational function of the three co-ordinates used to describe these two vectors.
  • Linear algebra: as a normalized rational function of the square of the determinant of two vectors (from three points) divided by the product of their quadrances.

Read more about this topic:  Rational Trigonometry

Famous quotes containing the word spread:

    “I have spread my dreams under your feet;
    Tread softly because you tread on my dreams.”
    —William Butler Yeats (1865–1939)

    “Strike on your drummes, spread out your ancyents!
    Sound out your trumpetts, sound out amaine!”
    —Unknown. Sir Andrew Barton. . .

    English and Scottish Ballads (The Poetry Bookshelf)

    “To-night she will spread her brown hair on his pillow,
    But I shall be hearing the harsh cries of wild fowl.”
    —Patrick MacDonogh (1902–1961)