"""Programmatic construction for Book I, Postulate 2 (I.post.2 — extend a segment).
Extend a segment continuously along a line.
"""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Extend given segment / A B / along line [ A B ] to C."""
model = Model("I.post.2")
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_line(A, B)
C = model.set_point(2, 0, ID="C")
model.set_segment(B, C)
return model
if __name__ == "__main__":
construct_g1()
