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X₁₆₂₁¶

TCC-PERSPECTOR OF X₈₁

X₁₆₂₁ is the tcc-perspector of X₈₁.

X₁₆₂₁ (TCC-PERSPECTOR OF X₈₁) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1621 = TCC-PERSPECTOR OF X_81."""

        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,
            centroid_of,
            construct_baseline_triangle,
            create_model,
            crosspoint,
            eval_trilinear_point,
            feuerbach_point_of,
            incenter_of,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01621(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1621 = TCC-PERSPECTOR OF X_81 on reference triangle ABC."""
            X_99 = eval_trilinear_point(model, A, B, C, 'b*c/(b**(2) - c**(2))', ID="X_99", classes=["center"])
            X_765 = eval_trilinear_point(model, A, B, C, '(b - c) **(-2)', ID="X_765", classes=["center"])
            X_1621 = crosspoint(model, A, B, C, X_99, X_765, ID="X_1621", classes=["selected", "target"])
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_11 = feuerbach_point_of(model, A, B, C, ID="X_11", classes=["center", "incident"])
            central_line(model, X_2, X_11, 2, 11, incident=True)
            X_1 = incenter_of(model, A, B, C, ID="X_1", classes=["center", "incident"])
            X_21 = eval_trilinear_point(model, A, B, C, '1/(cos(B) + cos(C))', ID="X_21", classes=["center", "incident"])
            central_line(model, X_1, X_21, 1, 21, incident=True)
            X_37 = eval_trilinear_point(model, A, B, C, 'b + c', ID="X_37", classes=["center", "incident"])
            X_82 = eval_trilinear_point(model, A, B, C, '1/(b**(2) + c**(2))', ID="X_82", classes=["center", "incident"])
            central_line(model, X_37, X_82, 37, 82, incident=True)
            return promote_point_to_top(model, X_1621)


        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_1621 on the given reference triangle."""
            model = create_model('X_1621 = TCC-PERSPECTOR OF X_81')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01621(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-01621.json"))
            write_center_svg(
                model_acute,
                here / "x-01621.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1621¶

X₁₆₂₁¶