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22 changes: 21 additions & 1 deletion cadquery/sketch.py
Original file line number Diff line number Diff line change
Expand Up @@ -15,7 +15,7 @@
overload,
)

from math import tan, sin, cos, pi, radians, remainder
from math import tan, sin, cos, pi, radians, remainder, sqrt
from itertools import product, chain
from multimethod import multimethod
from typish import instance_of, get_type
Expand Down Expand Up @@ -875,6 +875,26 @@ def arc(

return self.edge(val, tag, forConstruction)

@arc.register
def arc(
self: T,
p3: Point,
r: Real,
ccw: bool = False,
tag: Optional[str] = None,
forConstruction: bool = False,
) -> T:

p1 = self._endPoint()
z = Vector(0, 0, -1) if ccw else Vector(0, 0, 1)
cord = -Vector(p1) + Vector(p3)
sagitta = r - sqrt(r ** 2 - (cord.Length / 2) ** 2)
p2 = (Vector(p1) + Vector(p3)) / 2 + sagitta * cord.cross(z).normalized()

val = Edge.makeThreePointArc(Vector(p1), Vector(p2), Vector(p3))

return self.edge(val, tag, forConstruction)

@arc.register
def arc(
self: T,
Expand Down