Conic Sections from a Double Cone
- Mathematics
- Class 11
- 3D model
- English
Conic Sections from a Double Cone: a 3D model for Class 11 Mathematics, covering Cutting a double cone of semi-angle β with a plane tilted α to the horizontal gives a circle (α = 0)…, The type is decided by the quadratic the cut produces: A s² + 2B s + w² + C = 0 is an ellipse when A > 0…, A circle is a special ellipse (e = 0). A hyperbola has two branches, one on each nappe., Standard forms: x² + y² = r², x²/a² + y²/b² = 1, y² = 4ax, x²/a² − y²/b² = 1., Ellipse: PF1 + PF2 = 2a. Parabola: distance to focus = distance to directrix. Hyperbola: |PF1 − PF2| = 2a..
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Also called
conic sections · conics · sections of a cone · double cone · double napped cone · circle · ellipse · parabola · hyperbola · focus and directrix · foci · eccentricity · degenerate conics · standard equation of ellipse · standard equation of parabola · standard equation of hyperbola · nappe · generator · semi-vertical angle · class 11 maths chapter conic sections
Topics
About this model
A GLB file of about 908 KB, shown in Lably's 3D viewer and, on a phone, placed in your room with AR. Credit: Model, maths and animation: made for Lably (no downloaded meshes). Lettering glyphs: Helvetiker typeface from the three.js examples (MgOpen fonts by Magenta Ltd.). | CC BY 4.0. Original geometry and animation made for Lably. Board lettering uses the Helvetiker typeface (MgOpen Moderna) shipped with three.js.
