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Trigonometric Interpretation of a Depressed Quartic
Here is a proof that mathematical truths are not a human invention. This geometric construction leads to the solution of the quartic equation through trigonometric relationships (since the equation has previously been transformed so that for the terms ax^4 and bx^3 it will be a = 1 and b = 0 - depressed quartic). This example demonstrates the relationship between the roots, the coefficients of the quartic equation and the parameters of the corresponding geometric structure. The existence of this amazing connection between algebra and geometry is due to Mathematical Providence.
Trigonometric Interpretation of a Depressed Quartic
Here is a proof that mathematical truths are not a human invention. This geometric construction leads to the solution of the quartic equation through trigonometric relationships (since the equation has previously been transformed so that for the terms ax^4 and bx^3 it will be a = 1 and b = 0 - depressed quartic). This example demonstrates the relationship between the roots, the coefficients of the quartic equation and the parameters of the corresponding geometric structure. The existence of this amazing connection between algebra and geometry is due to Mathematical Providence.