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X₃₄₆₅¶

X₃₀-CEVA CONJUGATE OF X₄₈₄

X₃₄₆₅ = reflection of X₄₈₄ in X₂₂₂₂

X₃₄₆₅ (X₃₀-CEVA CONJUGATE OF X₄₈₄) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3465 = X_30-CEVA CONJUGATE OF X_484."""

        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_barycentric_point,
            eval_trilinear_point,
            incenter_of,
            orthocenter_of,
            promote_point_to_top,
            reflection_in_point,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03465(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3465 = X_30-CEVA CONJUGATE OF X_484 on reference triangle ABC."""
            X_484 = eval_trilinear_point(model, A, B, C, '1 + 2*(cos(A) - cos(B) - cos(C))', ID="X_484", classes=["center"])
            X_2222 = eval_barycentric_point(model, A, B, C, 'a*(a - b)*(a - c)*(a - b + c)*(a + b - c)*(a**(2) - b**(2) + c**(2) - a*c)*(a**(2) - c**(2) + b**(2) - a*b)', ID="X_2222", classes=["center"])
            X_3465 = reflection_in_point(model, X_484, X_2222, ID="X_3465", classes=["selected", "target"], guide=False)
            X_1 = incenter_of(model, A, B, C, ID="X_1", classes=["center", "incident"])
            X_4 = orthocenter_of(model, A, B, C, ID="X_4", classes=["center", "incident"])
            central_line(model, X_1, X_4, 1, 4, incident=True)
            X_35 = eval_trilinear_point(model, A, B, C, '1 + 2*cos(A)', ID="X_35", classes=["center", "incident"])
            X_228 = eval_trilinear_point(model, A, B, C, '(sin(2*A))*(sin(B) + sin(C))', ID="X_228", classes=["center", "incident"])
            central_line(model, X_35, X_228, 35, 228, incident=True)
            X_74 = eval_trilinear_point(model, A, B, C, '1/(cos(A) - 2*cos(B)*cos(C))', ID="X_74", classes=["center", "incident"])
            central_line(model, X_74, X_484, 74, 484, incident=True)
            return promote_point_to_top(model, X_3465)


        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_3465 on the given reference triangle."""
            model = create_model('X_3465 = X_30-CEVA CONJUGATE OF X_484')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03465(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-03465.json"))
            write_center_svg(
                model_acute,
                here / "x-03465.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3465¶

X₃₄₆₅¶