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X₁₃₀₄¶

COLLINGS TRANSFORM OF X₄₀₃

X₁₃₀₄ (COLLINGS TRANSFORM OF X₄₀₃) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1304 = COLLINGS TRANSFORM OF X_403."""

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


        def construct_x_01304(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1304 = COLLINGS TRANSFORM OF X_403 on reference triangle ABC."""
            X_1304 = eval_trilinear_point(model, A, B, C, '(sin(A))/((tan(B) - tan(C))*(tan(B) + tan(C) - 2*tan(A)))', ID="X_1304", classes=["selected", "target"])
            X_74 = eval_trilinear_point(model, A, B, C, '1/(cos(A) - 2*cos(B)*cos(C))', ID="X_74", classes=["center", "incident"])
            X_186 = eval_trilinear_point(model, A, B, C, '4*cos(A) - sec(A)', ID="X_186", classes=["center", "incident"])
            central_line(model, X_74, X_186, 74, 186, incident=True)
            X_111 = eval_trilinear_point(model, A, B, C, 'a/(2*a**(2) - b**(2) - c**(2))', ID="X_111", classes=["center", "incident"])
            X_232 = eval_trilinear_point(model, A, B, C, 'tan(A)*cos(A +  omega  )', ID="X_232", classes=["center", "incident"])
            central_line(model, X_111, X_232, 111, 232, incident=True)
            X_110 = eval_trilinear_point(model, A, B, C, 'csc(B - C)', ID="X_110", classes=["center", "incident"])
            X_250 = eval_trilinear_point(model, A, B, C, '(sec(A))*(csc(B - C))**(2)', ID="X_250", classes=["center", "incident"])
            central_line(model, X_110, X_250, 110, 250, incident=True)
            return promote_point_to_top(model, X_1304)


        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_1304 on the given reference triangle."""
            model = create_model('X_1304 = COLLINGS TRANSFORM OF X_403')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01304(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-01304.json"))
            write_center_svg(
                model_acute,
                here / "x-01304.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1304¶

X₁₃₀₄¶