The vertical cross section of a right vertical cone is a triangle if that cross section is taken from the vertex. Any other vertical cross section will reveal a hyperbola (with endpoints on the base of the cone). A link can be found below.
Chat with our AI personalities
123123123456
A circular cross-section.
a square
triangle
It depends on the angular plane of the Cross-section, to the conic axis. The conic-axis is a line from the point of the cone to the centre of a circular cross-section. #1 ; Cross section perpendicular to the acix is a CIRCLE. #2 ; Cross section angled to ther sides of the cone is an ELLIPSE #3 ; Cross section were the ends do not touch the circular face is a PARABOLA #4 ' Cross sectional plane which is parallel to the axis is a HYPERBOLA. The Cartesian Equations for each type are ;- #1 ; Circle ' x^(2) + y^(2) = 1 #2 ; Ellipse ' x^(2)/a^(2) + y^(2)/b^(2) = 1 #3 ; Parabola ' y^(2) = 4ax #4 ; Hyperbola ' x^(2)/a^(2) - y^(2)/b^(2) = 1