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X₄₄₁¶

COMPLEMENT OF X₂₉₇

X₄₄₁ (COMPLEMENT OF X₂₉₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_441 = COMPLEMENT OF X_297."""

        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,
            circumcenter_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            midpoint,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_00441(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_441 = COMPLEMENT OF X_297 on reference triangle ABC."""
            X_297 = eval_trilinear_point(model, A, B, C, 'csc(2*A)*cos(A +  omega  )', ID="X_297", classes=["center"])
            X_401 = eval_trilinear_point(model, A, B, C, '(sin(2*B)*sin(2*C) - (sin(2*A))**(2))*(csc(A))', ID="X_401", classes=["center"])
            X_441 = midpoint(model, X_297, X_401, ID="X_441", classes=["selected", "target"], guide=False)
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            central_line(model, X_2, X_3, 2, 3)
            X_141 = eval_trilinear_point(model, A, B, C, 'b*c*(b**(2) + c**(2))', ID="X_141", classes=["center", "incident"])
            X_577 = eval_trilinear_point(model, A, B, C, 'sin(A)*(cos(A))**(2)', ID="X_577", classes=["center", "incident"])
            central_line(model, X_141, X_577, 141, 577, incident=True)
            X_525 = eval_trilinear_point(model, A, B, C, '(b*cos(B) - c*cos(C))/a', ID="X_525", classes=["center", "incident"])
            X_647 = eval_trilinear_point(model, A, B, C, 'a*(b**(2) - c**(2))*(b**(2) + c**(2) - a**(2))', ID="X_647", classes=["center", "incident"])
            central_line(model, X_525, X_647, 525, 647, incident=True)
            return promote_point_to_top(model, X_441)


        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_441 on the given reference triangle."""
            model = create_model('X_441 = COMPLEMENT OF X_297')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00441(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-00441.json"))
            write_center_svg(
                model_acute,
                here / "x-00441.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X441¶

X₄₄₁¶