It is a defect in the existing histories that, while they state generally the contents of, and the main propositions proved in, the great treatises of Archimedes and Apollonius, they make little attempt to describe the procedure by which the results are obtained. I have therefore taken pains, in the most significant cases, to show the course of the argument in sufficient detail to enable a competent mathematician to grasp the method used and to apply it, if he will, to other similar investigations.
Thomas Little HeathRelated topics
archimedes argument attempt course grasp great mathematician pains procedure show significant state take whileRelated quotes
...public opinion justly recognized in both, above all things, the bankruptcy of the government,which, in its progressive development placed in jeopardy first the honour and now the very existence of the state.People just as little deceived themselves then as now regarding the true seat of the evil, but as little now as then did they make even an attempt to apply the remedy at the proper point. They saw well that the system was to blame; but this time also they adhered to the method of calling individuals to account.
Theodor Mommsen
As is used in connection with systems engineering, a model is a qualitative or quantitative representation of a process or endeavor that shows the effects of those factors which are significant for the purposes being considered. Modeling is the process of making a model. Although the model may not represent the actual phenomenon in all respects, it does describe the essential inputs, outputs, and internal characteristics, as well as provide an indication of environmental conditions similar to those of actual equipment.
Harold Chestnut
Interviewer: You describe seemingly fantastic events in such minute detail that it gives them their own reality. Is this something you have picked up from journalism?
García Márquez: That's a journalistic trick which you can also apply to literature. If you say that there are elephants flying in the sky, people are not going to believe you. But if you say that there are four hundred and twenty-five elephants in the sky, people will probably believe you.
Gabriel García Márquez
It has been said, that the principle involved in the above and in similar applications is that of the equal distribution of our knowledge, or rather of our ignorance the assigning to different states of things of which we know nothing, and upon the very ground that we know nothing, equal degrees of probability. I apprehend, however, that this is an arbitrary method of procedure. Instances may occur, and one such has been adduced, in which different hypotheses lead to the same final conclusion.
George Boole
The conditioning of petty criminals with the whip, or some more scientific procedure, followed by a short stay in hospital, would probably suffice to insure order. Those who have murdered, robbed while armed with automatic pistol or machine gun, kidnapped children, despoiled the poor of their savings, misled the public in important matters, should be humanely and economically disposed of in small euthanasic institutions supplied with proper gasses. A similar treatment could be advantageously applied to the insane, guilty of criminal acts.
Alexis Carrel