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X₁₆₀₃¶

TCC-PERSPECTOR OF X₈

X₁₆₀₃ is the tcc-perspector of X₈.

X₁₆₀₃ (TCC-PERSPECTOR OF X₈) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1603 = TCC-PERSPECTOR OF X_8."""

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


        def construct_x_01603(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1603 = TCC-PERSPECTOR OF X_8 on reference triangle ABC."""
            X_8 = nagel_point_of(model, A, B, C, ID="X_8", classes=["center"])
            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"])
            X_24 = eval_trilinear_point(model, A, B, C, 'sec(A)*cos(2*A)', ID="X_24", classes=["center"])
            X_1324 = eval_trilinear_point(model, A, B, C, '(a*(a**(5) - b**(5) - c**(5) + a**(3)*b*c - b**(3)*c*a - c**(3)*a*b + a**(2)*b**(2)*(b - a) + a**(2)*c**(2)*(c - a) + b**(2)*c**(2)*(b + c)))', ID="X_1324", classes=["center"])
            central_line(model, X_8, X_197, 8, 197)
            central_line(model, X_24, X_1324, 24, 1324)
            X_1603 = intersect_lines(model, X_8, X_197, X_24, X_1324, ID="X_1603", classes=["selected", "target"])
            return promote_point_to_top(model, X_1603)


        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_1603 on the given reference triangle."""
            model = create_model('X_1603 = TCC-PERSPECTOR OF X_8')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01603(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-01603.json"))
            write_center_svg(
                model_acute,
                here / "x-01603.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1603¶

X₁₆₀₃¶