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X₉₆₃¶

ISOGONAL CONJUGATE OF X₉₆₂

X₉₆₃ (ISOGONAL CONJUGATE OF X₉₆₂) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_963 = ISOGONAL CONJUGATE OF X_962."""

        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,
            isogonal_conjugate,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_00963(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_963 = ISOGONAL CONJUGATE OF X_962 on reference triangle ABC."""
            X_962 = eval_trilinear_point(model, A, B, C, 'b*c*(a**(4) + 2*a**(3)*(b + c) - 4*a**(2)*b*c - (b + c)*(b - c)**(2)*(2*a + b + c))', ID="X_962", classes=["center"])
            X_963 = isogonal_conjugate(model, A, B, C, X_962, ID="X_963", classes=["selected", "target"])
            X_33 = eval_trilinear_point(model, A, B, C, '1 + sec(A)', ID="X_33", classes=["center", "incident"])
            X_56 = eval_trilinear_point(model, A, B, C, 'a/(b + c - a)', ID="X_56", classes=["center", "incident"])
            central_line(model, X_33, X_56, 33, 56, incident=True)
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center", "incident"])
            X_200 = eval_trilinear_point(model, A, B, C, '(cot(A/2))**(2)', ID="X_200", classes=["center", "incident"])
            central_line(model, X_3, X_200, 3, 200, incident=True)
            X_48 = eval_trilinear_point(model, A, B, C, 'tan(B) + tan(C)', ID="X_48", classes=["center", "incident"])
            X_220 = eval_trilinear_point(model, A, B, C, 'a*(b + c - a)**(2)', ID="X_220", classes=["center", "incident"])
            central_line(model, X_48, X_220, 48, 220, incident=True)
            return promote_point_to_top(model, X_963)


        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_963 on the given reference triangle."""
            model = create_model('X_963 = ISOGONAL CONJUGATE OF X_962')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00963(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-00963.json"))
            write_center_svg(
                model_acute,
                here / "x-00963.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X963¶

X₉₆₃¶