"""Programmatic construction for Book I, Postulate 3 (I.post.3 — construct a circle).
Construct a circle with any center and radius.
"""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct circle ( B C D ) with center A and radius / A B /."""
model = Model("I.post.3")
A = model.set_point(0, 0, classes=["given"], ID="A")
B = model.set_point(1, 0, classes=["given"], ID="B")
model.set_segment(A, B)
model.construct_circle(A, B)
return model
if __name__ == "__main__":
construct_g1()
