Conic Sections Flashcards
Name the bounded figures in conic sections
Circle, Ellipse
Name the unbounded figures in conic sections
parabola, hyperbola, point, intersecting lines, line
A figure of the intersection of a plane and two tip attach right circular cones
Conic Sections
non-degenerate sections
circle, ellipse, parabola, and hyperbola
degenerate conic sections
point, line, and intersecting lines
A conic section formed when the plane is parallel to the base of the cone
circle
a conic section formed when the plane is parallel to the surface of the cone
parabola
A conic section formed when the plane intersects the cone horizontally but not parallel to the base of the cone
Ellipse
A conic section formed when the plane is perpendicular to the the base of the cone.
Hyperbola
Who got the credit of discovering the conic sections?
Manaechmus, a student of the Greek Mathematician Eudoxus
Who pioneered the extensive study of conic sections?
Apollonius of Perga
e=0 circle
e=1 parabola
01=hyperbola
b²-4ac<0
b²-4ac=0
b²-4ac<0 but a≠c
b²-4ac>0
