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X₁₈₈₆¶

ZOSMA TRANSFORM OF X₉₁₀

X₁₈₈₆ (ZOSMA TRANSFORM OF X₉₁₀) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1886 = ZOSMA TRANSFORM OF X_910."""

        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_01886(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1886 = ZOSMA TRANSFORM OF X_910 on reference triangle ABC."""
            X_1815 = eval_trilinear_point(model, A, B, C, '(cot(A))/(a**(2) - b**(2)*cos(C) - c**(2)*cos(B))', ID="X_1815", classes=["center"])
            X_1886 = isogonal_conjugate(model, A, B, C, X_1815, ID="X_1886", classes=["selected", "target"])
            X_33 = eval_trilinear_point(model, A, B, C, '1 + sec(A)', ID="X_33", classes=["center", "incident"])
            X_42 = eval_trilinear_point(model, A, B, C, 'a*(b + c)', ID="X_42", classes=["center", "incident"])
            central_line(model, X_33, X_42, 33, 42, incident=True)
            X_19 = eval_trilinear_point(model, A, B, C, 'tan(A)', ID="X_19", classes=["center", "incident"])
            X_57 = eval_trilinear_point(model, A, B, C, '1/(b + c - a)', ID="X_57", classes=["center", "incident"])
            central_line(model, X_19, X_57, 19, 57, incident=True)
            X_230 = eval_trilinear_point(model, A, B, C, 'b*c*(a**(2)*(2*a**(2) - b**(2) - c**(2)) + (b**(2) - c**(2))**(2))', ID="X_230", classes=["center", "incident"])
            X_231 = eval_trilinear_point(model, A, B, C, '(cos(B))*(4*(sin(C))**(2) - 1)*(cos(A)*sin(B) - sin(A)*cos(B)) - (cos(C))*(4*(sin(B))**(2) - 1)*(cos(C)*sin(A) - sin(C)*cos(A))', ID="X_231", classes=["center", "incident"])
            central_line(model, X_230, X_231, 230, 231, incident=True)
            return promote_point_to_top(model, X_1886)


        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_1886 on the given reference triangle."""
            model = create_model('X_1886 = ZOSMA TRANSFORM OF X_910')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01886(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-01886.json"))
            write_center_svg(
                model_acute,
                here / "x-01886.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1886¶

X₁₈₈₆¶