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X₃₀₄₀¶

COMPLEMENT OF X₁₃₆₁

X₃₀₄₀ (COMPLEMENT OF X₁₃₆₁) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3040 = COMPLEMENT OF X_1361."""

        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,
            centroid_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            midpoint,
            nagel_point_of,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03040(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3040 = COMPLEMENT OF X_1361 on reference triangle ABC."""
            X_8 = nagel_point_of(model, A, B, C, ID="X_8", classes=["center"])
            X_1364 = eval_trilinear_point(model, A, B, C, 'csc(A)*tan(A/2) / (sec(B) - sec(C))', ID="X_1364", classes=["center"])
            X_3040 = midpoint(model, X_8, X_1364, ID="X_3040", classes=["selected", "target"], guide=False)
            X_109 = eval_trilinear_point(model, A, B, C, 'a/(cos(B) - cos(C))', ID="X_109", classes=["center", "incident"])
            X_958 = eval_trilinear_point(model, A, B, C, '(b + c - a)*(a**(2) + a*b + a*c + 2*b*c)', ID="X_958", classes=["center", "incident"])
            central_line(model, X_109, X_958, 109, 958, incident=True)
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_1361 = point_from_barycentrics(model, A, B, C, 0.19480519, 0.041558442, 0.76363636, ID="X_1361", classes=["center", "incident"])
            central_line(model, X_2, X_1361, 2, 1361, incident=True)
            central_line(model, X_8, X_1364, 8, 1364, incident=True)
            return promote_point_to_top(model, X_3040)


        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_3040 on the given reference triangle."""
            model = create_model('X_3040 = COMPLEMENT OF X_1361')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03040(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-03040.json"))
            write_center_svg(
                model_acute,
                here / "x-03040.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3040¶

X₃₀₄₀¶