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X₂₈₈₄¶

COMPLEMENTARY CONJUGATE OF X₇

X₂₈₈₄ (COMPLEMENTARY CONJUGATE OF X₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2884 = COMPLEMENTARY CONJUGATE OF X_7."""

        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,
            intersect_lines,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02884(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2884 = COMPLEMENTARY CONJUGATE OF X_7 on reference triangle ABC."""
            X_142 = eval_trilinear_point(model, A, B, C, 'b + c - ((b - c)**(2))/a', ID="X_142", classes=["center"])
            X_1538 = point_from_barycentrics(model, A, B, C, -1.0625, -0.625, 2.6875, ID="X_1538", classes=["center"])
            X_857 = eval_trilinear_point(model, A, B, C, '((sin(C))**(2)*sin(2*B)*sin(C - A) + (sin(B))**(2)*sin(2*C)*sin(B - A))', ID="X_857", classes=["center"])
            X_948 = point_from_barycentrics(model, A, B, C, 0.23303835, 0.29498525, 0.4719764, ID="X_948", classes=["center"])
            central_line(model, X_142, X_1538, 142, 1538)
            central_line(model, X_857, X_948, 857, 948)
            X_2884 = intersect_lines(model, X_142, X_1538, X_857, X_948, ID="X_2884", classes=["selected", "target"])
            return promote_point_to_top(model, X_2884)


        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_2884 on the given reference triangle."""
            model = create_model('X_2884 = COMPLEMENTARY CONJUGATE OF X_7')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02884(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-02884.json"))
            write_center_svg(
                model_acute,
                here / "x-02884.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2884¶

X₂₈₈₄¶