Retrieving "Cone" from the archives

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1. Albers Equal Area Conic Projection

   Linked via "cone"

   Mathematical Formulation and Geometric Properties
   The AEACP is defined by two standard parallels ($\phi1$ and $\phi2$) along which the cone intersects the sphere of reference. Within the area between these parallels, the scale factor is precisely 1.0, meaning distortion is zero along these lines of contact. The projection is mathematically derived from the stereographic projection, but with the crucial modification that the cone is "cut" aro…

2. Conic Sections

   Linked via "cone"

   | $e > 1$ | Hyperbola | An open curve with two distinct, disconnected branches. |
   If the intersecting plane passes through the apex of the cone, the resulting intersections are termed degenerate conics (a point, two intersecting lines, or a single line).
   The General Second-Degree Equation

3. Plane

   Linked via "cone"

   Conic Sections
   As noted in discussions of the conic sections (circle, ellipse, parabola, and hyperbola), these curves arise specifically from the intersection of a plane with a double circular cone. The specific type of conic section generated depends entirely on the angle at which the intersecting plane meets the axis of the cone [2].
   | Plane Orientation Relative to Cone Axis…