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X₂₆₃₁¶

SUM OF PU(75)

X₂₆₃₁ = crosssum of X₁ and X₂₆₃₁

X₂₆₃₁ (SUM OF PU(75)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2631 = SUM OF PU(75)."""

        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_02631(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2631 = SUM OF PU(75) on reference triangle ABC."""
            X_2631 = eval_trilinear_point(model, A, B, C, '1/(tan(C) - tan(A)) + 1/(tan(B) - tan(A))', ID="X_2631", classes=["selected", "target"])
            X_162 = eval_trilinear_point(model, A, B, C, '1/(sin(2*B) - sin(2*C))', ID="X_162", classes=["center", "incident"])
            X_163 = eval_trilinear_point(model, A, B, C, '(sin(2*A))/(sin(2*B) - sin(2*C))', ID="X_163", classes=["center", "incident"])
            central_line(model, X_162, X_163, 162, 163, incident=True)
            X_44 = eval_trilinear_point(model, A, B, C, 'b + c - 2*a', ID="X_44", classes=["center", "incident"])
            X_513 = eval_trilinear_point(model, A, B, C, 'b - c', ID="X_513", classes=["center", "incident"])
            central_line(model, X_44, X_513, 44, 513, incident=True)
            X_2632 = eval_trilinear_point(model, A, B, C, '1/(tan(C) - tan(A)) - 1/(tan(B) - tan(A))', ID="X_2632", classes=["center", "incident"])
            X_2634 = eval_trilinear_point(model, A, B, C, '((a/(tan(B) - tan(A)) + b/(tan(C) - tan(B)) + c/(tan(A) - tan(C)))/(tan(C) - tan(A)) + (a/(tan(C) - tan(A)) + b/(tan(A) - tan(B)) + c/(tan(B) - tan(C)))/(tan(B) - tan(A)))', ID="X_2634", classes=["center", "incident"])
            central_line(model, X_2632, X_2634, 2632, 2634, incident=True)
            return promote_point_to_top(model, X_2631)


        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_2631 on the given reference triangle."""
            model = create_model('X_2631 = SUM OF PU(75)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02631(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-02631.json"))
            write_center_svg(
                model_acute,
                here / "x-02631.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2631¶

X₂₆₃₁¶