Intersection of A Pair of Lines
Let L1 and L2 be a pair of lines, both in a projective plane and expressed in homogeneous coordinates:
where m1 and m2 are slopes and b1 and b2 are y-intercepts. Moreover let g be the duality mapping
which maps lines onto their dual points. Then the intersection of lines L1 and L2 is point P3 where
Read more about this topic: Incidence (geometry)
Famous quotes containing the words intersection of a, intersection of, intersection, pair and/or lines:
“If we are a metaphor of the universe, the human couple is the metaphor par excellence, the point of intersection of all forces and the seed of all forms. The couple is time recaptured, the return to the time before time.”
—Octavio Paz (b. 1914)
“If we are a metaphor of the universe, the human couple is the metaphor par excellence, the point of intersection of all forces and the seed of all forms. The couple is time recaptured, the return to the time before time.”
—Octavio Paz (b. 1914)
“If we are a metaphor of the universe, the human couple is the metaphor par excellence, the point of intersection of all forces and the seed of all forms. The couple is time recaptured, the return to the time before time.”
—Octavio Paz (b. 1914)
“To get a man soundly saved it is not enough to put on him a pair of new breeches, to give him regular work, or even to give him a University education. These things are all outside a man, and if the inside remains unchanged you have wasted your labour. You must in some way or other graft upon the man’s nature a new nature, which has in it the element of the Divine.”
—William Booth (1829–1912)
“... when I awake in the middle of the night, since I knew not where I was, I did not even know at first who I was; I only had in the first simplicity the feeling of existing as it must quiver in an animal.... I spent one second above the centuries of civilization, and the confused glimpse of the gas lamps, then of the shirts with turned-down collars, recomposed, little by little, the original lines of my self.”
—Marcel Proust (1871–1922)