# „Let the letters a b c denote the three angular points of a rectilineal triangle. If the point did move continuously over the lines ab, bc, ca, that is, over the perimeter of the figure, it would be necessary for it to move at the point b in the direction ab, and also at the same point b in the direction bc. These motions being diverse, they cannot be simultaneous. There-fore, the moment of presence of the movable point at vertex b, considered as moving in the direction ab, is different from the moment of presence of the movable point at the same vertex b, considered as moving in the same direction bc. But between two moments there is time; therefore, the movable point is present at point b for some time, that is, it rests. Therefore it does not move continuously, which is contrary to the assumption. The same demonstration is valid for motion over any right lines including an assignable angle. Hence a body does not change its direction in continuous motion except by following a line no part of which is straight, that is, a curve, as Leibnitz maintained.“

Section III On The Principles Of The Form Of The Sensible World

Obtido da Wikiquote. Última atualização 22 de Maio de 2020. História
1724 - 1804

### „As a Line, I say, is looked upon to be the Trace of a Point moving forward, being in some sort divisible by a Point, and may be divided by Motion one Way, viz. as to Length; so Time may be conceiv'd as the Trace of a Moment continually flowing, having some Kind of Divisibility from an Instant, and from a successive Flux, inasmuch as it can be divided some how or other. And like as the Quantity of a Line consists of but one Length following the Motion; so the Quantity of Time pursues but one Succession stretched out as it were in Length, which the Length of the Space moved over shews and determines. We therefore shall always express Time by a right Line; first, indeed, taken or laid down at Pleasure, but whose Parts will exactly answer to the proportionable Parts of Time, as its Points do to the respective Instants of Time, and will aptly serve to represent them. Thus much for Time.“

—  Isaac Barrow English Christian theologian, and mathematician 1630 - 1677

p, 125
Geometrical Lectures (1735)

### „The car is not a rabbit or a deer that jumps around in sweeping lines, but it is a man-made work of technology in need of an appropriate roadway. Rather, the car resembles a dragon fly or any other jumping animal that moves shorter distances in straight lines and then changes its direction at different points.“

—  Fritz Todt German engineer and senior Nazi figure 1891 - 1942

Quoted in "Technologies of Landscape: From Reaping to Recycling" - by David E. Nye - Nature - 2000.

### „For the Lorentz transformation spatial measurements are also changed, because they are obtained relative to a moving system. In our example only time was transformed, while the distances between points at rest remained the same; the spatial coordinates, therefore, retain their identity.“

—  Hans Reichenbach American philosopher 1891 - 1953

The Philosophy of Space and Time (1928, tr. 1957)

### „The trisection of an angle was effected by means of a curve discovered by Hippias of Elis, the sophist, a contemporary of Hippocrates as well as of Democritus and Socrates. The curve was called the quadratrix because it also served (in the hands, as we are told, of Dinostratus, brother of Menæchmus, and of Nicomedes) for squaring the circle. It was theoretically constructed as the locus of the point of intersection of two straight lines moving at uniform speeds and in the same time, one motion being angular and the other rectilinear.“

—  Thomas Little Heath British civil servant and academic 1861 - 1940

p, 125
Achimedes (1920)

### „When the year was completed, I began to examine and compare my observations, and having pretty well satisfied myself as to the general laws of the phenomena, I then endeavored to find out the cause of them. I was already convinced that the apparent motion of the stars was not owing to the nutation of the earth's axis. The next thing that offered itself was an alteration in the direction of the plumb-line with which the instrument was constantly rectified; but this upon trial proved insufficient. Then I considered what refraction might do, but here also nothing satisfactory occurred. At length I conjectured that all the phenomena hitherto mentioned, proceeded from the progressive motion of light and the earth's annual motion in its orbit. For I perceived that, if light was propagated in time, the apparent place of a fixed object would not be the same when the eye is at rest, as when it is moving in any other direction than that of the line passing through the eye and the object; and that, when the eye is moving in different directions, the apparent place of the object would be different.“

—  James Bradley English astronomer; Astronomer Royal 1693 - 1762

As quoted by W. S. Eichelberger, "The Distances of the Heavenly Bodies," http://www.jstor.org/stable/1639343 Science New Series, Vol. 43, No. 1110 (Apr. 7, 1916), pp. 475-483.

### „I thought a lot about the beauty of Leonardo's Mona Lisa, we have two expressions that are composed on the same icon: usually to express an expression our whole body moves in that direction, to create another expression we need a different time. These two times, the sadness and the smile, which point out our duality are characterized at the same time. It creates a displacement. It's as if we could not grasp both things together. Hence the perception of that extraordinary beauty.“

—  Umberto Pettinicchio Italian painter 1943

Umberto Pettinicchio late interview https://www.shantimandir.eu/la-spiritualita-oltre-liconarelazione-umberto-pettinicchio/, La spiritualita’ oltre l’icona, shantimandir.eu, 2001.

### „I tell you that if natural bodies have it from Nature to be moved by any movement, this can only be circular motion, nor is it possible that Nature has given to any of its integral bodies a propensity to be moved by straight motion. I have many confirmations of this proposition, but for the present one alone suffices, which is this. I suppose the parts of the universe to be in the best arrangement, so that none is out of its place, which is to say that Nature and God have perfectly arranged their structure. This being so, it is impossible for those parts to have it from Nature to be moved in straight, or in other than circular motion, because what moves straight changes place, and if it changes place naturally, then it was at first in a place preternatural to it, which goes against the supposition. Therefore, if the parts of the world are well ordered, straight motion is superfluous and not natural, and they can only have it when some body is forcibly removed from its natural place, to which it would then return by a straight line, for thus it appears that a part of the earth does [move] when separated from its whole. I said "it appears to us," because I am not against thinking that not even for such an effect does Nature make use of straight line motion.“

—  Galileo Galilei Italian mathematician, physicist, philosopher and astronomer 1564 - 1642

A note on this statement is included by Stillman Drake in his Galileo at Work, His Scientific Biography (1981): Galileo adhered to this position in his Dialogue at least as to the "integral bodies of the universe." by which he meant stars and planets, here called "parts of the universe." But he did not attempt to explain the planetary motions on any mechanical basis, nor does this argument from "best arrangement" have any bearing on inertial motion, which to Galileo was indifference to motion and rest and not a tendency to move, either circularly or straight.
Letter to Francesco Ingoli (1624)

### „The matter of color is more confusing. Not every property of a system can be stated as a definite spatio-temporal state of affairs. A system's tendency, for instance, to move from State A to State B, but not from State B to State A... a tendency like this is not any specific event which you can point to in space and time. These nonspecific properties correspond to overall gestalts in the Hilbert Space coloring. Alternating bands of red and green light might, for example, represent a particle which is moving from left to right but which has no specific location. A good mood could be a golden haze not tied to any particular cause.“

—  Rudy Rucker American mathematician, computer scientist, science fiction author and philosopher 1946

Fonte: The Sex Sphere (1983), p. 134

### „A river is nearly the ultimate symbol for the very essence of change itself. It flows unceasing from one point of being to another, yet continuously occupies the same bed or pathway, and accommodates life’s endings with the same musical grace with which it accommodates life’s beginnings, along with all the muted and explosive moments that surface between the two extremes.“

—  Aberjhani author 1957

(Evolution of a Vision: from Songs of the Angelic Gaze to The River of Winged Dreams, p. 3).
Book Sources, The River of Winged Dreams (2010)

### „A common habit of thought… is the idea that space is [a] simple receptacle in which bodies move around, with no two bodies present at the same point. …In modern quantum physics generally, and in the standard model of fundamental physics in particular, physical space appears as a far more flexible framework. Many kinds of particles can be present at the same point in space at the same time. Indeed, the primary ingredients of the standard model are not particles at all, but an abundance of quantum fields, each a complex object in itself, and all omnipresent.“

—  Frank Wilczek physicist 1951

"Multiversality" (2013)

### „A point is not part of a line.“

—  Leonardo Da Vinci Italian Renaissance polymath 1452 - 1519

II Linear Perspective

### „The country is moving in a different direction, times have changed. But for me Gandhiji’s values are still the frame, still alive and valid.“

—  Ela Bhatt founder of the Self-Employed Women's Association of India (SEWA) 1933

### „Parallelism' can be pointed out in the different parts of a single object, looked at alone; it is even more obvious when one puts several objects of the same kind next to each other. Now if we compare our own lives and customs with these appearances in nature, we shall be astonished to find the same principle repeated... When an important event is being celebrated, the people face and move in the same direction. These are parallels following each other..“

—  Ferdinand Hodler Swiss artist 1853 - 1918

### „Time, so to say, runs at right angles to the page at each point on the curve.“

—  Joan Robinson English economist 1903 - 1983

Fonte: Economic Heresies (1971), Chapter VII, The Theory of the Firm, p. 104

### „Time only moves in one direction. Remember that. Things always change.“

—  Mohsin Hamid, livro The Reluctant Fundamentalist

Fonte: The Reluctant Fundamentalist

### „Time moves in one direction, memory in another.“

—  William Gibson American-Canadian speculative fiction novelist and founder of the cyberpunk subgenre 1948

### „In the theory of electric fields it is assumed that points have meaning. …Physicists using general relativity… cannot speak of a point, except by naming some features of the field lines that will uniquely distinguish that point. …the network of relationships evolve with time… constantly changing.“

—  Lee Smolin, livro Three Roads to Quantum Gravity

Three Roads to Quantum Gravity (2000)

### „Part of being optimistic is keeping one's head pointed toward the sun, one's feet moving forward.“

—  Nelson Mandela President of South Africa, anti-apartheid activist 1918 - 2013

1990s, Long Walk to Freedom (1995)
Contexto: I am fundamentally an optimist. Whether that comes from nature or nurture, I cannot say. Part of being optimistic is keeping one's head pointed toward the sun, one's feet moving forward. There were many dark moments when my faith in humanity was sorely tested, but I would not and could not give myself up to despair. That way lays defeat and death.

### „The surfaces of three-dimensional space are distinguished from each other not only by their curvature but also by certain more general properties. A spherical surface, for instance, differs from a plane not only by its roundness but also by its finiteness. Finiteness is a holistic property. The sphere as a whole has a character different from that of a plane. A spherical surface made from rubber, such as a balloon, can be twisted so that its geometry changes…. but it cannot be distorted in such a way as that it will cover a plane. All surfaces obtained by distortion of the rubber sphere possess the same holistic properties; they are closed and finite. The plane as a whole has the property of being open; its straight lines are not closed. This feature is mathematically expressed as follows. Every surface can be mapped upon another one by the coordination of each point of one surface to a point of the other surface, as illustrated by the projection of a shadow picture by light rays. For surfaces with the same holistic properties it is possible to carry through this transformation uniquely and continuously in all points. Uniquely means: one and only one point of one surface corresponds to a given point of the other surface, and vice versa. Continuously means: neighborhood relations in infinitesimal domains are preserved; no tearing of the surface or shifting of relative positions of points occur at any place. For surfaces with different holistic properties, such a transformation can be carried through locally, but there is no single transformation for the whole surface.“

—  Hans Reichenbach American philosopher 1891 - 1953

The Philosophy of Space and Time (1928, tr. 1957)

### „While it is well enough to leave footprints on the sands of time, it is even more important to make sure they point in a commendable direction.“

—  James Branch Cabell American author 1879 - 1958

Beyond Life (1919) Ch. VI : Which Values the Candle, § 2, p. 173