Intersections¶

Find intersection points between geometric objects.

intersection¶

def intersection(
    path1: Segment | Line | Circle,
    path2: Segment | Line | Circle,
    label: str = "",
    *,
    index: int = 0,
    label_dir: str = "NE",
    color: str = "black",
) -> Point

Create the intersection point of two paths.

When two paths intersect at multiple points (e.g., two circles, or a line and a circle), use index to select which intersection point you want.

Parameters:

Name	Type	Default	Description
`path1`	`Segment \\| Line \\| Circle`	required	First path (segment, line, or circle)
`path2`	`Segment \\| Line \\| Circle`	required	Second path (segment, line, or circle)
`label`	`str`	`""`	Display label (empty for hidden point)
`index`	`int`	`0`	Which intersection point (0 or 1 when multiple exist)
`label_dir`	`str`	`"NE"`	Direction for label placement
`color`	`str`	`"black"`	Color for the point

Returns: A Point with Intersection construction.

Example: Segment Intersection¶

"""Segment intersection example - intersection of two segments."""

from geolet import autofigure, intersection, point, segment


@autofigure
def segment_intersection():
    A = point(0, 0, "A", label_dir="SW")
    B = point(3, 2, "B", label_dir="NE")
    C = point(0, 2, "C", label_dir="NW")
    D = point(3, 0, "D", label_dir="SE")

    seg1 = segment(A, B)
    seg2 = segment(C, D)

    P = intersection(seg1, seg2, "P", label_dir="N", color="red")

Segment intersection

Example: Circle-Circle Intersection¶

"""Circle-circle intersection example - where two circles intersect."""

from geolet import autofigure, circle, intersection, point


@autofigure
def circle_circle_intersection():
    O1 = point(0, 0, "O_1", label_dir="S")
    O2 = point(2.5, 0, "O_2", label_dir="S")

    circle1 = circle(O1, 2.0, color="blue")
    circle2 = circle(O2, 2.0, color="green")

    P = intersection(circle1, circle2, "P", index=0, label_dir="N", color="red")
    Q = intersection(circle1, circle2, "Q", index=1, label_dir="S", color="red")

Circle-circle intersection

Example: Circle-Segment Intersection¶

"""Circle-segment intersection example - where a segment crosses a circle."""

from geolet import autofigure, circle, intersection, point, segment


@autofigure
def circle_segment_intersection():
    O = point(0, 0, "O", label_dir="S")
    A = point(-3, -1, "A", label_dir="SW")
    B = point(3, 1, "B", label_dir="NE")

    circ = circle(O, 2.0, color="blue")
    seg = segment(A, B, style="dashed")

    P = intersection(circ, seg, "P", index=0, label_dir="NW", color="red")
    Q = intersection(circ, seg, "Q", index=1, label_dir="SE", color="red")

Circle-segment intersection