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Derivations ​

Home-made mathematical derivations, used when no published source covers the need exactly. Each file: statement and domain, steps each citing a read source, cross-check, check table (writing). ID: DERIV-<file-name>.

IDSubject
DERIV-local-radius-clampLocal proportional clamping of corner radii (ADR-0007)
DERIV-regular-polygon-fitRegular polygon fitted uniformly in a box
DERIV-turning-angleTurning angle at a contour vertex (EN-003)
DERIV-fillet-setbackSetback of a corner fillet, s = r · tan(|τ|/2) (EN-004)
DERIV-fillet-arcTangent points, center and SVG flags of a corner fillet (EN-006, EN-007)
DERIV-free-shape-stretchFree shape stretched by its width and height from the top-left of its box, without loss (F09)
DERIV-turned-shapeA shape turned about the center of its box, the angle from 0 to 359, kept in place when edited (F04)
DERIV-arc-bounding-boxStraight box of a contour of segments and fillet arcs, as getBBox (F04)
DERIV-round-shapeA circle or a capsule as a rectangle rounded by half its smaller side; its conversion (F10, moved to E14, research note 0010)
DERIV-stretched-polygonA polygon stretched to its box, sides equal while its corners keep half their regular turn, then a plain stretch (F06)