File:Euler spiral.svg
Jump to navigation
Jump to search
Original file (SVG file, nominally 800 × 800 pixels, file size: 31 KB)
Summary
| Description |
Română: Spirala Euler sub formă de arce Bézier precise. Spirala a fost calculată prin rezolvarea numerică a ecuației diferențiale care definește spirala Euler, cu o eroare sub 1e-6, în punctele unde direcția curbei face pași unghiulari egali, de 0,001°. Spirala a fost apoi divizată în segmente la care au fost fitate arce Bézier cubice în așa fel încît nicăieri eroarea de fitare să nu depășească 1e-6. Pentru aceasta, spirala a fost tăiată în punctele cu următoarele unghiuri: 0°, 1°, 5°, 15° și apoi la fiecare 15° pînă la 10*360°. Fișierul SVG păstrează precizia de 1e-6. English: The Euler spiral as precise Bézier arcs. The spiral was calculated by numerically solving the differential equation that defines the Euler spiral, to an error less than 1e-6, at points were the curve direction makes equal angular steps, of 0.001°. The spiral was then divided in segments, to each of which a cubic Bézier arc was fitted so that in no point the fitting error was larger than 1e-6. For this, the spiral was cut in the places where it makes the following angles: 0°, 1°, 5°, 15° and then every 15° up to 10*360°. The SVG file preserves the 1e-6 accuracy level. |
| Date | |
| Source | Own work |
| Author | AdiJapan |
| Other versions |
Cornu Spiral.svg Clothoid curve.svg |
| SVG development |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 05:42, 4 December 2025 | | 800 × 800 (31 KB) | wikimediacommons>Mikhail Ryazanov | ... and unsupported dominant-baseline |
File usage
There are no pages that use this file.
