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:
“But all he did was spread the room
Of our enacting out the doom
Of being in each other’s way,
And so put off the weary day
When we would have to put our mind
On how to crowd but still be kind.”
—Robert Frost (1874–1963)
“yet it seems
Life scarce can cast a fragrance on the wind,
Scarce spread a glory to the morning beams,
But the torn petals strew the garden plot;
And there’s but common greenness after that.”
—William Butler Yeats (1865–1939)
“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)