Complete analytic geometry operator reference for CNC 3-axis milling. Every operator executes a fixed mathematical rule — no solver, no iteration, no ambiguity.
Create construction-tier geometry. Points may be deleted freely once product geometry is baked from them.
Creates a point at explicit X and Y coordinates. No selector needed.
Creates a point at the exact centre of an existing circle.
Creates a point at the intersection of a line and circle. Selector required.
Creates a point at the intersection of two circles. Selector required.
Creates a point at the intersection of two lines. No selector needed.
Creates a point at the intersection of a line and arc. Selector required.
Creates a point at the intersection of two arcs. Selector required.
Creates a point at the tangent location between a line and a circle.
Creates a point at the tangent location between two circles.
Creates a point at the tangent location between a circle and an arc.
Creates a point at the tangent location between two arcs.
Creates a point on a circle circumference at a specified angular position.
Creates a point on an arc at a specified angular position.
Creates N equally spaced points around a circle — bolt-hole patterns.
Creates a point by applying X and Y offsets to an existing point.
Creates a point at a specified angle and distance from an existing point.
Creates a point at the exact midpoint of a line.
Creates a point at the exact midpoint of an arc.
Create product-tier line geometry. Chamfers and broken lines are stored as Line entities (L-prefix).
Creates a line from explicit start and end coordinate pairs.
Creates a line passing through two existing point references.
Creates a horizontal line parallel to the X axis at Y=D.
Creates a vertical line parallel to the Y axis at X=D.
Creates a line through a point at a specified angle from the +X axis.
Creates a line parallel to L at distance D. Selector required.
Creates a line parallel to L passing through point P. No selector needed.
Creates a perpendicular segment from a point on a line.
Creates a line through P tangent to circle C. Selector required.
Creates a tangent line to a circle at a given angle. Selector required.
Creates a line tangent to two circles simultaneously. Selector required.
Creates a line tangent to an arc at its start or end point.
Creates a line perpendicular to L and tangent to C. Selector required.
Creates a line parallel to L and tangent to C. Selector required.
Creates a chamfer line between two intersecting lines with setback distances.
Creates a chord line connecting the endpoints of two arcs.
Creates a polyline defined by points and angles — chain of connected segments.
Creates a rectangle from two diagonal corner points. Four line segments.
Creates a line perpendicular to an angled line and tangent to a circle.
Create curved product-tier geometry. All support transient preview before committing.
Creates a circle at a centre point with a given radius. No selector needed.
Creates a circle passing through three existing point references.
Creates a circle tangent to two lines with radius R. Selector required.
Creates a circle tangent to a line and a circle with radius R.
Creates a circle tangent to two circles with radius R.
Creates an arc defined by centre, radius, start angle, and end angle.
Creates a fillet arc of radius R between two intersecting lines.
Creates an arc tangent to a line and a circle with radius R.
Creates an arc tangent to two circles with radius R.
Modify existing product-tier geometry. Essential for profile cleanup and closed geometry construction.
Trims a line to a line boundary at the start or end endpoint.
Trims a line to a circle boundary. Selector required.
Trims a line to an arc boundary at the start or end endpoint.
Trims a circle to a line boundary. CW/CCW selector required.
Trims an arc to a line boundary at the start or end endpoint.
Trims an arc to a circle boundary at the start or end endpoint.
Extends a line to meet another line at the start or end endpoint.
Extends a line to meet a circle. Selector required.
Extends an arc to meet a line at the start or end endpoint.
Extends an arc to meet a circle at the start or end endpoint.