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X₆₉₂¶

X₁₁₀-CEVA CONJUGATE OF X₁₀₁

X₆₉₂ (X₁₁₀-CEVA CONJUGATE OF X₁₀₁) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_692 = X_110-CEVA CONJUGATE OF X_101."""

        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_00692(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_692 = X_110-CEVA CONJUGATE OF X_101 on reference triangle ABC."""
            X_692 = eval_trilinear_point(model, A, B, C, 'a**(2)/(b - c)', ID="X_692", classes=["selected", "target"])
            X_100 = eval_trilinear_point(model, A, B, C, '1/(b - c)', ID="X_100", classes=["center", "incident"])
            X_110 = eval_trilinear_point(model, A, B, C, 'csc(B - C)', ID="X_110", classes=["center", "incident"])
            central_line(model, X_100, X_110, 100, 110, incident=True)
            X_55 = eval_trilinear_point(model, A, B, C, 'a*(b + c - a)', ID="X_55", classes=["center", "incident"])
            X_184 = eval_trilinear_point(model, A, B, C, 'a**(2)*cos(A)', ID="X_184", classes=["center", "incident"])
            central_line(model, X_55, X_184, 55, 184, incident=True)
            X_154 = eval_trilinear_point(model, A, B, C, '(cos(A) - cos(B)*cos(C))*a**(2)', ID="X_154", classes=["center", "incident"])
            X_197 = eval_trilinear_point(model, A, B, C, 'a*(-a**(2)*tan(A/2) + b**(2)*tan(B/2) + c**(2)*tan(C/2))', ID="X_197", classes=["center", "incident"])
            central_line(model, X_154, X_197, 154, 197, incident=True)
            return promote_point_to_top(model, X_692)


        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_692 on the given reference triangle."""
            model = create_model('X_692 = X_110-CEVA CONJUGATE OF X_101')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00692(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-00692.json"))
            write_center_svg(
                model_acute,
                here / "x-00692.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X692¶

X₆₉₂¶