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X₉₅₁¶

ISOGONAL CONJUGATE OF X₉₅₀

X₉₅₁ (ISOGONAL CONJUGATE OF X₉₅₀) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_951 = ISOGONAL CONJUGATE OF X_950."""

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


        def construct_x_00951(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_951 = ISOGONAL CONJUGATE OF X_950 on reference triangle ABC."""
            X_950 = eval_trilinear_point(model, A, B, C, 'b*c*(b + c - a)*(2*a**(3) + (b + c)*(a**(2) + (b - c)**(2)))', ID="X_950", classes=["center"])
            X_951 = isogonal_conjugate(model, A, B, C, X_950, ID="X_951", classes=["selected", "target"])
            X_57 = eval_trilinear_point(model, A, B, C, '1/(b + c - a)', ID="X_57", classes=["center", "incident"])
            X_78 = eval_trilinear_point(model, A, B, C, '1/(1 - sec(A))', ID="X_78", classes=["center", "incident"])
            central_line(model, X_57, X_78, 57, 78, incident=True)
            X_29 = eval_trilinear_point(model, A, B, C, '(sec(A))/(cos(B) + cos(C))', ID="X_29", classes=["center", "incident"])
            X_226 = eval_trilinear_point(model, A, B, C, '(csc(A))*(cos(B) + cos(C))', ID="X_226", classes=["center", "incident"])
            central_line(model, X_29, X_226, 29, 226, incident=True)
            X_56 = eval_trilinear_point(model, A, B, C, 'a/(b + c - a)', ID="X_56", classes=["center", "incident"])
            X_219 = eval_trilinear_point(model, A, B, C, 'cos(A)*cot(A/2)', ID="X_219", classes=["center", "incident"])
            central_line(model, X_56, X_219, 56, 219, incident=True)
            return promote_point_to_top(model, X_951)


        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_951 on the given reference triangle."""
            model = create_model('X_951 = ISOGONAL CONJUGATE OF X_950')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00951(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-00951.json"))
            write_center_svg(
                model_acute,
                here / "x-00951.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X951¶

X₉₅₁¶