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X₁₇₄₈¶

MIMOSA TRANSFORM OF X₂₆₄

X₁₇₄₈ (MIMOSA TRANSFORM OF X₂₆₄) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1748 = MIMOSA TRANSFORM OF X_264."""

        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_01748(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1748 = MIMOSA TRANSFORM OF X_264 on reference triangle ABC."""
            X_1748 = eval_trilinear_point(model, A, B, C, 'cot(A) - tan(A)', ID="X_1748", classes=["selected", "target"])
            X_19 = eval_trilinear_point(model, A, B, C, 'tan(A)', ID="X_19", classes=["center", "incident"])
            X_27 = eval_trilinear_point(model, A, B, C, '(sec(A))/(b + c)', ID="X_27", classes=["center", "incident"])
            central_line(model, X_19, X_27, 19, 27, incident=True)
            X_31 = eval_trilinear_point(model, A, B, C, 'a**(2)', ID="X_31", classes=["center", "incident"])
            X_240 = eval_trilinear_point(model, A, B, C, 'sec(A)*cos(A +  omega  )', ID="X_240", classes=["center", "incident"])
            central_line(model, X_31, X_240, 31, 240, incident=True)
            X_158 = eval_trilinear_point(model, A, B, C, '(sec(A))**(2)', ID="X_158", classes=["center", "incident"])
            X_920 = eval_trilinear_point(model, A, B, C, '((cos(B))**(2) + (cos(C))**(2) - (cos(A))**(2))', ID="X_920", classes=["center", "incident"])
            central_line(model, X_158, X_920, 158, 920, incident=True)
            return promote_point_to_top(model, X_1748)


        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_1748 on the given reference triangle."""
            model = create_model('X_1748 = MIMOSA TRANSFORM OF X_264')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01748(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-01748.json"))
            write_center_svg(
                model_acute,
                here / "x-01748.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1748¶

X₁₇₄₈¶