File:Quadratic Bezier parabola equivalence.svg
Size of this PNG preview of this SVG file: 400 × 600 pixels. Other resolutions: 160 × 240 pixels | 320 × 480 pixels | 512 × 768 pixels | 682 × 1,024 pixels.
Original file (SVG file, nominally 512 × 768 pixels, file size: 6 KB)
|
This is a file from the Wikimedia Commons. The description on its description page there is shown below.
|
Summary
| Description |
English: Equivalence of a quadratic Bezier curve and a segment of a parabola. Tangents to the parabola at the end-points of the curve (A and B) intersect at its control point (C). If D is the mid-point of AB, the tangent to the curve which is perpendicular to CD (dashed cyan line) defines its vertex (V). Its axis of symmetry (dash-dot cyan) passes through V and is perpendicular to the tangent. E is either point on the curve with a tangent at 45 degrees to CD (dashed green). If G is the intersection of this tangent and the axis, the line passing through G and perpendicular to CD is the directrix (solid green). The focus (F) is at the intersection of the axis and a line passing through E and perpendicular to CD (dotted yellow). The latus rectum is the line segment within the curve (solid yellow). |
| Source | Own work |
| Author | Cmglee |
Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
|
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
You may select the license of your choice.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 04:41, 17 July 2015 | 512 × 768 (6 KB) | Cmglee | {{Information |Description ={{en|1=Equivalence of a quadratic Bezier curve and a segment of a parabola. Tangents to the parabola at the end-points of the curve (A and B) intersect at its control point (C). If D is the mid-point of AB, the tangent to... |
File usage
The following page uses this file:
