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X₁₆₀₅¶

TCC-PERSPECTOR OF X₁₃

X₁₆₀₅ is the tcc-perspector of X₁₃.

X₁₆₀₅ (TCC-PERSPECTOR OF X₁₃) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1605 = TCC-PERSPECTOR OF X_13."""

        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,
            intersect_lines,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01605(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1605 = TCC-PERSPECTOR OF X_13 on reference triangle ABC."""
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_618 = point_from_barycentrics(model, A, B, C, 0.38507388, 0.34992883, 0.26499729, ID="X_618", classes=["center"])
            X_26 = eval_trilinear_point(model, A, B, C, 'a*(b**(2)*cos(2*B) + c**(2)*cos(2*C) - a**(2)*cos(2*A))', ID="X_26", classes=["center"])
            X_1607 = point_from_barycentrics(model, A, B, C, 0.43222192, 0.34376902, 0.22400906, ID="X_1607", classes=["center"])
            central_line(model, X_3, X_618, 3, 618)
            central_line(model, X_26, X_1607, 26, 1607)
            X_1605 = intersect_lines(model, X_3, X_618, X_26, X_1607, ID="X_1605", classes=["selected", "target"])
            return promote_point_to_top(model, X_1605)


        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_1605 on the given reference triangle."""
            model = create_model('X_1605 = TCC-PERSPECTOR OF X_13')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01605(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-01605.json"))
            write_center_svg(
                model_acute,
                here / "x-01605.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1605¶

X₁₆₀₅¶