File:Euler_spiral.svg
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Summary
DescriptionEuler spiral.svg |
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 |
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19 October 2012
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 13:37, 19 October 2012 | 800 × 800 (36 KB) | AdiJapan | corrected label positions | |
13:21, 19 October 2012 | 800 × 800 (36 KB) | AdiJapan | User created page with UploadWizard |
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Width | 800px |
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Height | 800px |
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