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X₁₄₉₄¶

ISOTOMIC CONJUGATE OF X₃₀

X₁₄₉₄ (ISOTOMIC CONJUGATE OF X₃₀) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1494 = ISOTOMIC CONJUGATE OF X_30."""

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


        def construct_x_01494(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1494 = ISOTOMIC CONJUGATE OF X_30 on reference triangle ABC."""
            X_648 = eval_trilinear_point(model, A, B, C, '1/(a*(b**(2) - c**(2))*(b**(2) + c**(2) - a**(2)))', ID="X_648", classes=["center"])
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center"])
            X_1494 = reflection_in_point(model, X_648, X_2, ID="X_1494", classes=["selected", "target"], guide=False)
            X_69 = eval_trilinear_point(model, A, B, C, '(cos(A))/a**(2)', ID="X_69", classes=["center", "incident"])
            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_69, X_74, 69, 74, incident=True)
            X_30 = eval_trilinear_point(model, A, B, C, 'cos(A) - 2*cos(B)*cos(C)', ID="X_30", classes=["center", "incident"])
            X_340 = eval_trilinear_point(model, A, B, C, 'sec(A)*sin(3*A)*(csc(A))**(3)', ID="X_340", classes=["center", "incident"])
            central_line(model, X_30, X_340, 30, 340, incident=True)
            X_190 = eval_trilinear_point(model, A, B, C, 'b*c/(b - c)', ID="X_190", classes=["center", "incident"])
            X_306 = eval_trilinear_point(model, A, B, C, '(b**(2)*c**(2))*(b + c)*cos(A)', ID="X_306", classes=["center", "incident"])
            central_line(model, X_190, X_306, 190, 306, incident=True)
            return promote_point_to_top(model, X_1494)


        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_1494 on the given reference triangle."""
            model = create_model('X_1494 = ISOTOMIC CONJUGATE OF X_30')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01494(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-01494.json"))
            write_center_svg(
                model_acute,
                here / "x-01494.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1494¶

X₁₄₉₄¶