Ellipse, showing x and y axes, semi-major axis a, and semi-minor axis b.
The sum of the distances for any
Polar Equation: Origin at Center (0,0)
Polar Equation: Origin at Focus (f1,0)
When solving for Focus-Directrix values with this calculator, the major axis, foci and k must be located on the x-axis.
Integration along x-axis, Vertical elements
Centroidal axes for all section and sector calculations are measured with respect to the x-axis.
Integration along y-axis, Horizontal elements
Negative values in the Second Quadrant are actually permissible, but must be interpreted with care. The shape created about the y-axis will be asymmetrical if the entries for x and -x are not of equal magnitude.
Sections bounded by chord x1 to x2