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 HeathRelated topics
angle angular brother contemporary curve hippocrates intersection locus moving point sophist squaring straight tell well means hands Democritus SocratesRelated quotes
It is known to all persons who are conversant in experimental philosophy, that there are many little attentions and precautions necessary to be observed in the conducting of experiments, which cannot well be described in words, but which it is needless to describe, since practice will necessarily suggest them; though, like all other arts in which the hands and fingers are made use of, it is only much practice that can enable a person to go through complex experiments, of this or any kind, with ease and readiness.
Joseph Priestley
It is India that gave us the ingenious method of expressing all numbers by means of ten symbols, each symbol receiving a value of position as well as an absolute value; a profound and important idea which appears so simple to us now that we ignore its true merit. But its very simplicity and the great ease which it has lent to computations put our arithmetic in the first rank of useful inventions; and we shall appreciate the grandeur of the achievement the more when we remember that it escaped the genius of Archimedes and Apollonius, two of the greatest men produced by antiquity.
Pierre-Simon Laplace
Now a writer can make himself a nice career while he is alive by espousing a political cause, working for it, making a profession of believing in it, and if it wins he will be very well placed. All politics is a matter of working hard without reward, or with a living wage for a time, in the hope of booty later. A man can be a Fascist or a Communist and if his outfit gets in he can get to be an ambassador or have a million copies of his books printed by the Government or any of the other rewards the boys dream about.
Ernest Hemingway
Of the various executive abilities, no one excited more anxious concern than that of placing the interests of our fellow-citizens in the hands of honest men, with understanding sufficient for their stations. No duty is at the same time more difficult to fulfil. The knowledge of character possessed by a single individual is of necessity limited. To seek out the best through the whole Union, we must resort to the information which from the best of men, acting disinterestedly and with the purest motives, is sometimes incorrect.
Thomas Jefferson
Prayer, fasting, vigils, and all other Christian practices, however good they may be in themselves, certainly do not constitute the aim of our Christian life: they are but the indispensable means of attaining that aim. For the true aim of the Christian life is the acquisition of the Holy Spirit of God. As for fasts, vigils, prayer and almsgiving, and other good works done in the name of Christ, they are only the means of acquiring the Holy Spirit of God. Note well that it is only good works done in the name of Christ that bring us the fruits of the Spirit.
Seraphim of Sarov