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X₂₃₆₈¶

CIR(X₄₂)

X₂₃₆₈ (CIR(X₄₂)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2368 = CIR(X_42)."""

        from __future__ import annotations

        from pathlib import Path

        import sympy.geometry as spg
        from geometor.model import Model

        from geometor.etc.ops import (
            central_line,
            construct_baseline_triangle,
            create_model,
            eval_barycentric_point,
            eval_trilinear_point,
            intersect_lines,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02368(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2368 = CIR(X_42) on reference triangle ABC."""
            X_86 = eval_trilinear_point(model, A, B, C, 'b*c/(b + c)', ID="X_86", classes=["center"])
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center"])
            X_100 = eval_trilinear_point(model, A, B, C, '1/(b - c)', ID="X_100", classes=["center"])
            X_274 = eval_trilinear_point(model, A, B, C, 'b**(2)*c**(2)/(b + c)', ID="X_274", classes=["center"])
            central_line(model, X_86, X_101, 86, 101)
            central_line(model, X_100, X_274, 100, 274)
            X_2368 = intersect_lines(model, X_86, X_101, X_100, X_274, ID="X_2368", classes=["selected", "target"])
            X_109 = eval_trilinear_point(model, A, B, C, 'a/(cos(B) - cos(C))', ID="X_109", classes=["center", "incident"])
            X_1434 = eval_barycentric_point(model, A, B, C, '1/((b + c)*(a - b - c))', ID="X_1434", classes=["center", "incident"])
            central_line(model, X_109, X_1434, 109, 1434, incident=True)
            return promote_point_to_top(model, X_2368)


        def build_model(
            sides: tuple[float, float, float] = (5.0, 6.0, 7.0),
            show_guides: bool = False,
        ) -> Model:
            """Build a `geometor.model.Model` for X_2368 on the given reference triangle."""
            model = create_model('X_2368 = CIR(X_42)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02368(model, A, B, C)
            return model


        if __name__ == "__main__":
            here = Path(__file__).resolve().parent
            model_acute = build_model((5.0, 6.0, 7.0))
            model_acute.save(str(here / "x-02368.json"))
            write_center_svg(
                model_acute,
                here / "x-02368.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2368¶

X₂₃₆₈¶