## Of False Discontinuity with Illustrations from Fourier's Theorem and the Calculus of Variations |

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1+p² 1+p³ 4a³y² a² sin² alde assignable quantity axis b²)² c₁ Calculus of Variations Cambridge change sign changes from zero Conic Sections constant continuously changes cos² curve definite integrals Differential Calculus differential coefficients dp₁ dx dx dx dy dy dx Elementary Epoch evanescent false discontinuity Fcap finite values given indefinitely small independent variable J. W. DONALDSON late Fellow locus maxima and minima method minimorum minimum value negative obtained ordinate P₁ positive PROB Ratio real root render u a sin að solution Sp₁ ß² suppose surface surface of revolution traced Treatise Trinity College truly discontinuous function u a maximum ultimate intersections vanish x₁ y+dy y₁ αδ π π аф бу сп сп фаф

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