Conic Sections: Difference between revisions
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https://en.wikipedia.org/wiki/Conic_section '''Conic Sections''' | https://en.wikipedia.org/wiki/Conic_section '''Conic Sections''' | ||
A [https://en.wikipedia.org/wiki/Cone ''' | A [https://en.wikipedia.org/wiki/Cone ''' can be described as the '''[[Loci|Locus]]''' of all lines joining points on the circumference of a base circle to a point above it. If the point lies perpendicularly above the centre of the base circle it is known as a '''''‘right cone’''''' and if not, it is an '''''‘oblique cone’'''''. | ||
A '''right circular cone''' is a [https://en.wikipedia.org/wiki/Solid_of_revolution '''Solid of Revolution'''] and can be produced by rotating a right angle triangle around one of the sides opposite its [https://en.wikipedia.org/wiki/Hypotenuse hypotenuse]. | |||
A right circular cone can be sliced across in various ways to produce a number of [https://en.wikipedia.org/wiki/Conic_section '''Conic Sections''']. These are curves with particular mathematical properties and which are used in engineering design - e.g. [[Displacement Diagram|cam profiles]] and [[Bridge Types|arch bridge]] design. | |||
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| '''[[Ellipse]]''' | |||
| - the curve produced when a secton is taken across a right circular cone, at an angle to the base circle, and intersecting the generators on both sides | |||
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| D | |||
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[[Category:Secondary]] | [[Category:Secondary]] | ||
[[Category:Geometry]] | [[Category:Geometry]] | ||
Revision as of 14:42, 3 April 2015
https://en.wikipedia.org/wiki/Conic_section Conic Sections
A [https://en.wikipedia.org/wiki/Cone can be described as the Locus of all lines joining points on the circumference of a base circle to a point above it. If the point lies perpendicularly above the centre of the base circle it is known as a ‘right cone’ and if not, it is an ‘oblique cone’.
A right circular cone is a Solid of Revolution and can be produced by rotating a right angle triangle around one of the sides opposite its hypotenuse.
A right circular cone can be sliced across in various ways to produce a number of Conic Sections. These are curves with particular mathematical properties and which are used in engineering design - e.g. cam profiles and arch bridge design.
| Ellipse | - the curve produced when a secton is taken across a right circular cone, at an angle to the base circle, and intersecting the generators on both sides |
| C | D |