Ratio Quotes - page 2
They are unfettered by precedent in the administration of justice. Customs have been handed down by ages of repetition, but the punishment for ignoring a custom is a matter for individual treatment by a jury of the culprit's peers, and I may say that justice seldom misses fire, but seems rather to rule in inverse ratio to the ascendency of law. In one respect at least the Martians are a happy people; they have no lawyers.
Edgar Rice Burroughs
Cubism demonstrated in its constructions its modernity in relation to scale, but in painting and contre-relief we have in front of us an absolute scale which is this - forms in their natural size in the ratio 1 : 1. If however we wish to transform the contre-relief into an architectural structure and therefore enlarge it by one hundred times, then the scale ceases to be absolute and becomes relative in the ratio of 1 : 100. Then we get the American statue of liberty in whose head there is room for four men and from whose hand the light streams out.
El Lissitsky
The refraction of light agrees with the grand principle that Nature always uses the simplest means to accomplish its effects. From this principle, can be derived whenever light passes from one medium to another, the ratio of the sine of the angle of refraction to the sine of the angle of refraction equals the inverse ratio of the speeds at which light moves in each medium.
But this "budget", this expense of action that Nature minimizes in the refraction of light, is it also minimized in the direct propagation and reflection of light? Yes, it always has the smallest possible value.
Pierre Louis Maupertuis
Art is not to be looked at. Art is looking at us. What is art to others is not necessarily art to me. Nor for the same reason and vice versa. What was art to me or was not some time ago might have lost that value or gained it in the meantime and maybe again though art is not an object but experience. To be able to perceive it we need to be receptive. Therefore art is there where art meets us now. The content of art is visual formulation of our relation to life. The measure of art, the ratio of effort to effect, the aim of art revelation and evocation of vision.
Josef Albers
Religion exalts mystery as an unknowable secret that must be sealed in glass like the corpse of an enchanted princess and fearfully worshipped from afar. Initiation, on the other hand, requires direct participation and demands each of us to smash the casket and press mad lips to mystery, wooing her as a lover who will offer up her treasurers in a succession of sweet surrenders. This she will do, but only in exact ratio to our evolving ability and worthiness to receive them.
Lon Milo DuQuette
The Definition in the Elements, according to Clavius, is this: Magnitudes are said to be in the same Reason [ratio], a first to a second, and a third to a fourth, when the Equimultiples of the first and third according to any Multiplication whatsoever are both together either short of, equal to, or exceed the Equimultiples of the second and fourth, if those be taken, which answer one another.... Such is Euclid's Definition of Proportions; that scare-Crow at which the over modest or slothful Dispositions of Men are generally affrighted: they are modest, who distrust their own Ability, as soon as a Difficulty appears, but they are slothful that will not give some Attention for the learning of Sciences; as if while we are involved in Obscurity we could clear ourselves without Labour. Both of 300 which Sorts of Persons are to be admonished, that the former be not discouraged, nor the latter refuse a little Care and Diligence when a Thing requires some Study.
Isaac Barrow
The line of march of all spirits is always progressive, never retrograde. They raise themselves gradually In the hierarchy of existence they never descend from the rank at which they have once arrived. In the course of their different corporeal existences they may descend in rank as men, but not as spirits. Thus the soul of one who has been at the pinnacle of earthly power may, in a subsequent incarnation, animate the humblest day-labourer, and vice versa; for the elevation of ranks among men is often In the inverse ratio of that of the moral sentiments. Herod was a king, and Jesus, a carpenter.
Allan Kardec
One of the most important axioms is, that as the quantity of any commodity, for instance, plain food, which a man has to consume, increases, so the utility or benefit derived from the last portion used decreases in degree. The decrease in enjoyment between the beginning and the end of a meal may be taken as an example. And I assume that on an average, the ratio of utility is some continuous mathematical function of the quantity of commodity. This law of utility has, in fact, always been assumed by political economists under the more complex form and name of the Law of Supply and Demand. But once fairly stated in its simple form, it opens up the whole of the subject.
William Stanley Jevons
Every measurable thing except numbers is imagined in the manner of a continuous quantity. Therefore, for the mensuration of such a thing, it is necessary that points, lines, and surfaces, or their properties, be imagined. For in them... measure or ratio is initially found... Therefore, every intensity which can be acquired successively ought to be imagined by a straight line perpendicularly erected on some point of the space or subject of the intensible thing, e. g., a quality... And since the quantity or ratio of lines is better known and is more readily conceived by us-nay the line is in the first species of continua, therefore such intensity ought to be imagined by lines... Therefore, equal intensities are designated by equal lines, a double intensity by a double line, and always in the same way if one proceeds proportionally.
Nicole Oresme
The last decade has seen a steady increase in the application of concepts from the theory of games to the study of evolution. Fields as diverse as sex ratio theory, animal distribution, contest behaviour and reciprocal altruism have contributed to what is now emerging as a universal way of thinking about phenotypic evolution.
John Maynard Smith