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X₂₁₅₅¶

X₂-ISOCONJUGATE OF X₂₀

X₂₁₅₅ (X₂-ISOCONJUGATE OF X₂₀) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2155 = X_2-ISOCONJUGATE OF X_20."""

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


        def construct_x_02155(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2155 = X_2-ISOCONJUGATE OF X_20 on reference triangle ABC."""
            X_64 = eval_trilinear_point(model, A, B, C, '1/(cos(A) - cos(B)*cos(C))', ID="X_64", classes=["center"])
            X_71 = eval_trilinear_point(model, A, B, C, '(b + c)*cos(A)', ID="X_71", classes=["center"])
            X_63 = eval_trilinear_point(model, A, B, C, 'cot(A)', ID="X_63", classes=["center"])
            X_610 = eval_trilinear_point(model, A, B, C, 'tan(B) + tan(C) - tan(A)', ID="X_610", classes=["center"])
            central_line(model, X_64, X_71, 64, 71)
            central_line(model, X_63, X_610, 63, 610)
            X_2155 = intersect_lines(model, X_64, X_71, X_63, X_610, ID="X_2155", classes=["selected", "target"])
            X_19 = eval_trilinear_point(model, A, B, C, 'tan(A)', ID="X_19", classes=["center", "incident"])
            X_774 = eval_trilinear_point(model, A, B, C, '(cos(B))**(2) + (cos(C))**(2)', ID="X_774", classes=["center", "incident"])
            central_line(model, X_19, X_774, 19, 774, incident=True)
            return promote_point_to_top(model, X_2155)


        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_2155 on the given reference triangle."""
            model = create_model('X_2155 = X_2-ISOCONJUGATE OF X_20')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02155(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-02155.json"))
            write_center_svg(
                model_acute,
                here / "x-02155.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2155¶

X₂₁₅₅¶