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 OresmeRelated topics
double equal found intensity known line measurable measure necessary ought point quality ratio space straight thing way pointsRelated quotes
I HAVE never met with a man, either in England or America, who hath not confessed his opinion, that a separation between the countries, would take place one time or other: And there is no instance, in which we have shewn less judgment, than in endeavouring to describe, what we call, the ripeness or fitness of the Continent for independance. As all men allow the measure, and vary only in their opinion of the time, let us, in order to remove mistakes, take a general survey of things, and endeavour, if possible, to find out the very time. But we need not go far, the inquiry ceases at once, for, the time hath found us. The general concurrence, the glorious union of all things prove the fact. It is not in numbers, but in unity, that our great strength lies; yet our present numbers are sufficient to repel the force of all the world.
Thomas Paine
I believe that it is possible by means of horizontal and vertical lines, constructed 'consciously' but not 'calculating', guided by a higher intuition and brought to harmony and rhythm – I believe that these fundamental aesthetic shapes – where necessary supplemented by lines in other directions or curved lines, make it possible to arrive at a work of art which is as strong as it is true. For anyone who sees more deeply, there is nothing vague about this; it is only vague for the superficial observer of nature. And 'chance' must be as far removed as 'calculation'. And for the rest it seems to me that it is necessary to keep breaking off the horizontal or vertical line: for if these directions were not countered by others, they would themselves come to signify something 'specific' and thus human.
Piet Mondrian
Minkowski... supposed that this fourth dimension of time was not detached from and independent of the three dimensions of space. He introduced a new four-dimensional space to which ordinary space contributed three dimensions, and time one; we may call it 'space-time'.... The succession of positions which a particle occupied in ordinary space at a succession of instants of time would be represented by a line in space-time; this he called the 'world-line' of the particle.... Newton's absolute space and absolute time fell out of science, and they carried much with them in their fall. First to go was the concept of simultaneity.... It now became necessary to find a way of treating gravitation which should not involve simultaneity. Einstein found through the medium of his 'Principle of Equivalence'.
James Jeans
First, I say, that woman in her greatest perfection was made to serve and obey man, not to rule and command him. As St. Paul does reason in these words: "Man is not of the woman, but the woman of the man. And man was not created for the cause of the woman, but the woman for the cause of man; and therefore ought the woman to have a power upon her head" [1 Cor. 11:8-10] (that is, a cover in sign of subjection). Of which words it is plain that the apostle means, that woman in her greatest perfection should have known that man was lord above her; and therefore that she should never have pretended any kind of superiority above him, no more than do the angels above God the Creator, or above Christ their head. [38] So I say, that in her greatest perfection, woman was created to be subject to man.
John Knox
Labor is a commodity, like any other, and its price is therefore determined by exactly the same laws that apply to other commodities. In a regime of big industry or of free competition – as we shall see, the two come to the same thing – the price of a commodity is, on the average, always equal to its cost of production. Hence, the price of labor is also equal to the cost of production of labor. But, the costs of production of labor consist of precisely the quantity of means of subsistence necessary to enable the worker to continue working, and to prevent the working class from dying out. The worker will therefore get no more for his labor than is necessary for this purpose; the price of labor, or the wage, will, in other words, be the lowest, the minimum, required for the maintenance of life.
Friedrich Engels