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X₂₇₁₄¶

SR(X₉₉, X₁₀₈)

X₂₇₁₄ = reflection of X₂₇₀₇ in X₃

X₂₇₁₄ (SR(X₉₉, X₁₀₈)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2714 = SR(X_99, X_108)."""

        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,
            circumcenter_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            point_from_barycentrics,
            promote_point_to_top,
            reflection_in_point,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02714(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2714 = SR(X_99, X_108) on reference triangle ABC."""
            X_2707 = point_from_barycentrics(model, A, B, C, 1.0414086, 0.22924055, -0.27064911, ID="X_2707", classes=["center"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_2714 = reflection_in_point(model, X_2707, X_3, ID="X_2714", classes=["selected", "target"], guide=False)
            X_99 = eval_trilinear_point(model, A, B, C, 'b*c/(b**(2) - c**(2))', ID="X_99", classes=["center", "incident"])
            X_521 = eval_trilinear_point(model, A, B, C, '(sec(B) - sec(C))*(csc(A))', ID="X_521", classes=["center", "incident"])
            central_line(model, X_99, X_521, 99, 521, incident=True)
            X_108 = eval_trilinear_point(model, A, B, C, 'a/(sec(B) - sec(C))', ID="X_108", classes=["center", "incident"])
            X_512 = eval_trilinear_point(model, A, B, C, 'a*(b**(2) - c**(2))', ID="X_512", classes=["center", "incident"])
            central_line(model, X_108, X_512, 108, 512, incident=True)
            X_109 = eval_trilinear_point(model, A, B, C, 'a/(cos(B) - cos(C))', ID="X_109", classes=["center", "incident"])
            X_810 = eval_trilinear_point(model, A, B, C, 'sin(2*A)*((cos(B))**(2) - (cos(C))**(2))', ID="X_810", classes=["center", "incident"])
            central_line(model, X_109, X_810, 109, 810, incident=True)
            return promote_point_to_top(model, X_2714)


        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_2714 on the given reference triangle."""
            model = create_model('X_2714 = SR(X_99, X_108)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02714(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-02714.json"))
            write_center_svg(
                model_acute,
                here / "x-02714.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2714¶

X₂₇₁₄¶