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X₃₃₇¶

ISOTOMIC CONJUGATE OF X₂₄₂

X₃₃₇ (ISOTOMIC CONJUGATE OF X₂₄₂) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_337 = ISOTOMIC CONJUGATE OF X_242."""

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


        def construct_x_00337(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_337 = ISOTOMIC CONJUGATE OF X_242 on reference triangle ABC."""
            X_242 = eval_trilinear_point(model, A, B, C, '((sec(A))*((sin(A))**(2) - sin(B)*sin(C)))', ID="X_242", classes=["center"])
            X_337 = isotomic_conjugate(model, A, B, C, X_242, ID="X_337", classes=["selected", "target"])
            X_12 = eval_trilinear_point(model, A, B, C, '1 + cos(B - C)', ID="X_12", classes=["center", "incident"])
            X_85 = eval_trilinear_point(model, A, B, C, 'b**(2)*c**(2)/(b + c - a)', ID="X_85", classes=["center", "incident"])
            central_line(model, X_12, X_85, 12, 85, incident=True)
            X_37 = eval_trilinear_point(model, A, B, C, 'b + c', ID="X_37", classes=["center", "incident"])
            X_86 = eval_trilinear_point(model, A, B, C, 'b*c/(b + c)', ID="X_86", classes=["center", "incident"])
            central_line(model, X_37, X_86, 37, 86, incident=True)
            X_72 = eval_trilinear_point(model, A, B, C, '(b + c)*cot(A)', ID="X_72", classes=["center", "incident"])
            X_295 = eval_trilinear_point(model, A, B, C, '(cos(A))/(a**(2) - b*c)', ID="X_295", classes=["center", "incident"])
            central_line(model, X_72, X_295, 72, 295, incident=True)
            return promote_point_to_top(model, X_337)


        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_337 on the given reference triangle."""
            model = create_model('X_337 = ISOTOMIC CONJUGATE OF X_242')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00337(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-00337.json"))
            write_center_svg(
                model_acute,
                here / "x-00337.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X337¶

X₃₃₇¶