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:
“In a moment when criticism shows a singular dearth of direction every man has to be a law unto himself in matters of theatre, writing, and painting. While the American Mercury and the new Ford continue to spread a thin varnish of Ritz over the whole United States there is a certain virtue in being unfashionable.”
—John Dos Passos (1896–1970)
“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)
“Cows sometimes wear an expression resembling wonderment arrested on its way to becoming a question. In the eye of superior intelligence, on the other hand, lies the nil admirari spread out like the monotony of a cloudless sky.”
—Friedrich Nietzsche (1844–1900)