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X₃₀₃₆¶

COMPLEMENT OF X₁₃₁₇

X₃₀₃₆ (COMPLEMENT OF X₁₃₁₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3036 = COMPLEMENT OF X_1317."""

        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_trilinear_point,
            feuerbach_point_of,
            mittenpunkt_of,
            nagel_point_of,
            promote_point_to_top,
            reflection_in_point,
            spieker_center_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03036(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3036 = COMPLEMENT OF X_1317 on reference triangle ABC."""
            X_3035 = eval_trilinear_point(model, A, B, C, 'b*c*((a - b + c)*(a - c)**(2) + (a + b - c)*(a - b)**(2))', ID="X_3035", classes=["center"])
            X_10 = spieker_center_of(model, A, B, C, ID="X_10", classes=["center"])
            X_3036 = reflection_in_point(model, X_3035, X_10, ID="X_3036", classes=["selected", "target"], guide=False)
            X_8 = nagel_point_of(model, A, B, C, ID="X_8", classes=["center", "incident"])
            X_11 = feuerbach_point_of(model, A, B, C, ID="X_11", classes=["center", "incident"])
            central_line(model, X_8, X_11, 8, 11, incident=True)
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            X_80 = eval_trilinear_point(model, A, B, C, '1/(1 - 2*cos(A))', ID="X_80", classes=["center", "incident"])
            central_line(model, X_9, X_80, 9, 80, incident=True)
            X_140 = eval_trilinear_point(model, A, B, C, '2*cos(A) + cos(B - C)', ID="X_140", classes=["center", "incident"])
            central_line(model, X_10, X_140, 10, 140, incident=True)
            return promote_point_to_top(model, X_3036)


        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_3036 on the given reference triangle."""
            model = create_model('X_3036 = COMPLEMENT OF X_1317')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03036(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-03036.json"))
            write_center_svg(
                model_acute,
                here / "x-03036.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3036¶

X₃₀₃₆¶