Warning to the profane not to approach—Nymphs and Deities of Mathematical Mythology—Cyclois of a pensive turn—Pendulums, on the contrary, playful—and why?—Sentimental Union of the Naiads and Hydrostatics—Marriage of Euclid and Algebra.—Pulley the emblem of Mechanics—Optics of a licentious disposition—distinguished by her telescope and green spectacles.—Hyde-Park Gate on a Sunday morning—Cockneys—Coaches.—Didactic Poetry—Nonsensia—Love delights in Angles or Corners—Theory of Fluxions explained—Trochais, the Nymph of the Wheel—Smoke-Jack described—Personification of elementary or culinary Fire.—Little Jack Horner—Story of Cinderella—Rectangle, a Magician, educated by Plato and Menecmus—in love with Three Curves at the same time—served by Gins, or Genii—transforms himself into a Cone—the Three Curves requite his passion—Description of them—Parabola, Hyperbola, and Ellipsis—Asymptotes—Conjugated Axes.—Illustrations—Rewbell, Barras, and Lepaux, the three virtuous Directors—Macbeth and the Three Witches—the Three Fates—the Three Graces—King Lear and his Three Daughters—Derby Diligence—Catherine Wheel.—Catastrophe of Mr. Gingham, with his Wife and Three Daughters overturned in a One-horse Chaise—Dislocation and Contusion two kindred Fiends—Mail Coaches—Exhortation to Drivers to be careful—Genius of the Post-Office—Invention of Letters—Digamma—Double Letters—Remarkable Direction of one—Hippona the Goddess of Hack-horses—Parameter and Abscissa unite to overpower the Ordinate, who retreats down the Axis-Major, and forms himself in a Square—Isosceles, a Giant—Dr. Rhomboides—Fifth Proposition, or Asses’ Bridge—Bridge of Lodi—Buonaparte—Raft and Windmills—Exhortation to the recovery of our Freedom—Conclusion. THE LOVES OF THE TRIANGLES. A Mathematical and Philosophical Poem, INSCRIBED TO DR. DARWIN. CANTO I. Stay your rude steps, or e’er your feet invade[197] The Muses’ haunts, ye sons of War and Trade! Nor you, ye legion fiends of Church and Law, Pollute these pages with unhallow’d paw! Debased, corrupted, grovelling, and confined, 5 No DEFINITIONS[198] touch _your_ senseless mind; To _you_ no POSTULATES[199] prefer their claim, No ardent AXIOMS[200] _your_ dull souls inflame; For _you_ no TANGENTS[201] touch, no ANGLES meet, No CIRCLES[202] join in osculation[203] sweet! 10