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X₃₂₆₀¶

ISOTOMIC CONJUGATE OF X₇₄

X₃₂₆₀ (ISOTOMIC CONJUGATE OF X₇₄) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3260 = ISOTOMIC CONJUGATE OF X_74."""

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


        def construct_x_03260(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3260 = ISOTOMIC CONJUGATE OF X_74 on reference triangle ABC."""
            X_74 = eval_trilinear_point(model, A, B, C, '1/(cos(A) - 2*cos(B)*cos(C))', ID="X_74", classes=["center"])
            X_3260 = isotomic_conjugate(model, A, B, C, X_74, ID="X_3260", classes=["selected", "target"])
            X_4 = orthocenter_of(model, A, B, C, ID="X_4", classes=["center", "incident"])
            X_69 = eval_trilinear_point(model, A, B, C, '(cos(A))/a**(2)', ID="X_69", classes=["center", "incident"])
            central_line(model, X_4, X_69, 4, 69, incident=True)
            X_94 = eval_trilinear_point(model, A, B, C, 'csc(3*A)', ID="X_94", classes=["center", "incident"])
            X_323 = eval_trilinear_point(model, A, B, C, 'sin(3*A)*(csc(A))**(2)', ID="X_323", classes=["center", "incident"])
            central_line(model, X_94, X_323, 94, 323, incident=True)
            X_99 = eval_trilinear_point(model, A, B, C, 'b*c/(b**(2) - c**(2))', ID="X_99", classes=["center", "incident"])
            X_477 = eval_trilinear_point(model, A, B, C, '1/(4*cos(A) + cos(A - 2*B) + cos(A - 2*C) - 3*cos(B - C))', ID="X_477", classes=["center", "incident"])
            central_line(model, X_99, X_477, 99, 477, incident=True)
            return promote_point_to_top(model, X_3260)


        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_3260 on the given reference triangle."""
            model = create_model('X_3260 = ISOTOMIC CONJUGATE OF X_74')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03260(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-03260.json"))
            write_center_svg(
                model_acute,
                here / "x-03260.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3260¶

X₃₂₆₀¶