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X₃₀₄₂¶

COMPLEMENT OF X₁₃₆₄

X₃₀₄₂ (COMPLEMENT OF X₁₃₆₄) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3042 = COMPLEMENT OF X_1364."""

        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,
            point_from_barycentrics,
            promote_point_to_top,
            reflection_in_point,
            spieker_center_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03042(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3042 = COMPLEMENT OF X_1364 on reference triangle ABC."""
            X_3040 = eval_trilinear_point(model, A, B, C, '(b*c*(b**(2)*(1 - cos(A) - cos(C))**(2)/(a - b + c) + c**(2)*(1 - cos(A) - cos(B))**(2)/(a + b - c)))', ID="X_3040", classes=["center"])
            X_10 = spieker_center_of(model, A, B, C, ID="X_10", classes=["center"])
            X_3042 = reflection_in_point(model, X_3040, X_10, ID="X_3042", classes=["selected", "target"], guide=False)
            X_118 = point_from_barycentrics(model, A, B, C, 0.28918651, -0.056547619, 0.76736111, ID="X_118", classes=["center", "incident"])
            X_124 = eval_trilinear_point(model, A, B, C, '(b*c*(b + c - a)*(b - c)**(2)*((b + c)*(b**(2) + c**(2) - a**(2) - b*c) + a*b*c))', ID="X_124", classes=["center", "incident"])
            central_line(model, X_118, X_124, 118, 124, incident=True)
            X_102 = eval_trilinear_point(model, A, B, C, '1/(sin(B)*(sec(A) - sec(B)) + sin(C)*(sec(A) - sec(C)))', ID="X_102", 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_102, X_958, 102, 958, incident=True)
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_1364 = eval_trilinear_point(model, A, B, C, 'csc(A)*tan(A/2) / (sec(B) - sec(C))', ID="X_1364", classes=["center", "incident"])
            central_line(model, X_2, X_1364, 2, 1364, incident=True)
            return promote_point_to_top(model, X_3042)


        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_3042 on the given reference triangle."""
            model = create_model('X_3042 = COMPLEMENT OF X_1364')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03042(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-03042.json"))
            write_center_svg(
                model_acute,
                here / "x-03042.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3042¶

X₃₀₄₂¶