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X₃₇₁₅¶

X₃₃₀₅com(EXTOUCH TRIANGLE)

X₃₇₁₅ = excentral-to-ABC barycentric image of X₃₃₀₅

X₃₇₁₅ (X₃₃₀₅com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3715 = X_3305com(EXTOUCH TRIANGLE)."""

        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,
            mittenpunkt_of,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03715(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3715 = X_3305com(EXTOUCH TRIANGLE) on reference triangle ABC."""
            X_3715 = eval_barycentric_point(model, A, B, C, '(a*(b + c - a)*(2*b + 2*c + a))', ID="X_3715", classes=["selected", "target"])
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            X_55 = eval_trilinear_point(model, A, B, C, 'a*(b + c - a)', ID="X_55", classes=["center", "incident"])
            central_line(model, X_9, X_55, 9, 55, incident=True)
            X_42 = eval_trilinear_point(model, A, B, C, 'a*(b + c)', ID="X_42", classes=["center", "incident"])
            X_45 = eval_trilinear_point(model, A, B, C, '2*b + 2*c - a', ID="X_45", classes=["center", "incident"])
            central_line(model, X_42, X_45, 42, 45, incident=True)
            X_44 = eval_trilinear_point(model, A, B, C, 'b + c - 2*a', ID="X_44", classes=["center", "incident"])
            X_612 = eval_trilinear_point(model, A, B, C, 'a**(2) + b**(2) + c**(2) + 2*b*c', ID="X_612", classes=["center", "incident"])
            central_line(model, X_44, X_612, 44, 612, incident=True)
            return promote_point_to_top(model, X_3715)


        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_3715 on the given reference triangle."""
            model = create_model('X_3715 = X_3305com(EXTOUCH TRIANGLE)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03715(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-03715.json"))
            write_center_svg(
                model_acute,
                here / "x-03715.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3715¶

X₃₇₁₅¶