Analytical Geometry
Analytical Geometry
F O R M U L A S
D i s t a n c e O f A L i n e N O T E:
G r a d i e n t
2 2 2
AC = ( X 2 - X 1 ) + ( Y 2 - Y1)
AC = ( X 2 - X 1) 2 + ( Y 2 - Y1 ) 2
M i d p o i n t O f A L i n e
Positive Negative
X 1 + X2 ; Y 1 + Y2
2 2
G r a d i e n t O f A L i n e
M = Y2 - Y 1
X2 - X 1
T H E O R Y
1 P e r p e n d i c u l a r L i n e s 2 P a r a l l e l L i n e s
L2
L1 L1
Gradient ´ Gradient Gradient = Gradient
L1 L2 L1 L2
L2 = -1
Analytical Geometry
F O R M U L A S
D i s t a n c e O f A L i n e N O T E:
G r a d i e n t
2 2 2
AC = ( X 2 - X 1 ) + ( Y 2 - Y1)
AC = ( X 2 - X 1) 2 + ( Y 2 - Y1 ) 2
M i d p o i n t O f A L i n e
Positive Negative
X 1 + X2 ; Y 1 + Y2
2 2
G r a d i e n t O f A L i n e
M = Y2 - Y 1
X2 - X 1
T H E O R Y
1 P e r p e n d i c u l a r L i n e s 2 P a r a l l e l L i n e s
L2
L1 L1
Gradient ´ Gradient Gradient = Gradient
L1 L2 L1 L2
L2 = -1
