“I was almost driven to madness in considering and calculating this matter. I could not find out why the planet would rather go on an elliptical orbit. Oh, ridiculous me! As the liberation in the diameter could not also be the way to the ellipse. So this notion brought me up short, that the ellipse exists because of the liberation. With reasoning derived from physical principles, agreeing with experience, there is no figure left for the orbit of the planet but a perfect ellipse.”

— Johannes Kepler , book Mysterium Cosmographicum

As translated and quoted in John Freely, Before Galileo: The Birth of Modern Science in Medieval Europe (2012), in chapter 58, at an unspecified page.
Mysterium Cosmographicum (1596), Astronomia nova (1609)

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Johannes Kepler 51

German mathematician, astronomer and astrologer 1571–1630

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“I was almost driven to madness in considering and calculating this matter. I could not find out why the planet would rather go on an elliptical orbit. Oh, ridiculous me!”

Johannes Kepler book Astronomia nova

Source: Astronomia nova (1609), Ch.58, as quoted in John Freely, Before Galileo: The Birth of Modern Science in Medieval Europe (2012)
Context: I was almost driven to madness in considering and calculating this matter. I could not find out why the planet would rather go on an elliptical orbit. Oh, ridiculous me! As the liberation in the diameter could not also be the way to the ellipse. So this notion brought me up short, that the ellipse exists because of the liberation. With reasoning derived from physical principles, agreeing with experience, there is no figure left for the orbit of the planet but a perfect ellipse.

“If in two ellipses having a common major axis we take two such arcs that their chords are equal, and that also the sums of the radii vectores, drawn respectively from the foci to the extremities of these arcs, are equal to each other, then the sectors formed in each ellipse by the arc and the two radii vectores are to each other as the square roots of the parameters of the ellipses.”

Johann Heinrich Lambert (1728–1777) German mathematician, physicist and astronomer

Sect. 4, Lemma 26, Insigniores orbitae cometarum proprietates (1761) [Notable properties of comets' orbits] translated by Florian Cajori, A History of Mathematics https://books.google.com/books?id=kqQPAAAAYAAJ (1906) p. 259, from the German of Michel Chasles, Geschichte der Geometrie, haupsächlich mit Bezug auf die neuern Methoden https://books.google.com/books?id=NgYHAAAAcAAJ (1839) p. 183.

“Of all the punctuation marks; he told me ellipses were his favorites.”

Patrick Modiano (1945) French writer

Suspended Sentences (1993)

“In this derivation Bohr had relied on the old idea of classical radiation theory, that the frequencies of spectral lines should agree with the frequency of the electron’s orbital motion, but he had assumed this only for the largest orbits, with large n. The light frequencies he calculated for transitions between lower states, such as n=2 → n=1, did not at all agree with the orbital frequency of the initial or final state. So Bohr’s work represented another large step away from classical physics.”

Steven Weinberg (1933) American theoretical physicist

Source: Lectures on Quantum Mechanics (2012, 2nd ed. 2015), Ch. 1: Historical Introduction

“Instead of inquiring after the nature of the cause of the condensation of nebulous matter, it would indeed be sufficient for the present purpose to call it merely a condensing principle; but since we are already acquainted with the centripetal force of attraction which gives a globular figure to planets, keeps them from flying out of their orbits in tangents, and makes one star revolve around another, why should we not look up to the universal gravitation of matter as the cause of every condensation, accumulation, compression, and concentration of the nebulous matter?”

William Herschel (1738–1822) German-born British astronomer, technical expert, and composer

p, 125
Astronomical Observations relating to the Construction of the Heavens... (1811)

“Beauty cannot be defined by abscissas and ordinates; neither are circles and ellipses created by their geometrical formulas.”

Carl von Clausewitz book On War

On War (1832), Book 3

“Man is not a circle with a single center; he is an ellipse with two focii. Facts are one, ideas are the other.”

Victor Hugo book Les Misérables

Source: Les Misérables

“Out in deep space the planets sweep, inexorable, along their splendid orbits. Maxine bowed her head. From now on she would take the gods' dictation.”

Helen Garner book Cosmo Cosmolino

Page 166.
Cosmo Cosmolino (1992)

“And we must invent dynamic designs to go with them and express them in equally dynamic shapes: triangles, cones, spirals, ellipses, circles, etc.”

Giacomo Balla (1871–1958) Italian artist

(Manuscript, 1914); as quoted in Futurism, ed. Didier Ottinger; Centre Pompidou / 5 Continents Editions, Milan, 2008, p. 148
Futurist Manifesto of Men's clothing,' 1913/1914

“The Ellipse is the most simple of the Conic Sections, most known, and nearest of Kin to a Circle, and easiest describ'd by the Hand in plano.”

Isaac Newton book Arithmetica Universalis

Though many prefer the Parabola before it, for the Simplicity of the Æquation by which it is express'd. But by this Reason the Parabola ought to be preferr'd before the Circle it self, which it never is. Therefore the reasoning from the Simplicity of the Æquation will not hold. The modern Geometers are too fond of the Speculation of Æquations.
Arithmetica Universalis (1707)

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Johannes Kepler 51

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