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Although we find Ptolemy to be misinformed on several points concerning central Africa, yet there still remains enough in his Data, on Interior Libya and Northern Ethiopia, to show a real geographical approximation, very distant indeed from the accuracy at which science is always aiming, but quite sufficient to resolve the question as to the identity of the Nigir, in which an approximation is all that can be expected or required.
Now the approximation of either is not remarkably close. It requires no mathematical knowledge at all to determine the circumference of a circle much more exactly. The result was obtained by the discoverer in three weeks after he first heard of the existence of the difficulty. This quadrator has since published a little slip and entered it at Stationers' Hall.
Never once had he written a criticism which seemed to him adequate, or more than an approximation to justice, even when he had most carefully, almost prayerfully, examined the work he reported upon.
Of course, such approximation to this result, as we can observe in the present order of things, is very imperfect. Many of the most obvious evils in the particular system of competition now adopted, may be summed up in the statement, that the tests according to which success is awarded, are not so contrived as to secure the success of the best competitors.
In a very few cases e.g., in Gladstone's own there had peen a gradual approximation to the idea of Irish autonomy, and the crisis of December, 1885, gave the opportunity of avowing convictions which had long been forming. But in the great majority of cases the conversion was instantaneous.
It will be seen that even in the reign of the second emperor a considerable approximation is made to that condition of the law and that mode of administering it with which we are all familiar.
And the approximation would, if I am not much mistaken, have been brought about by a movement of mind on his part, which already I think those who knew him best will agree with me in thinking had commenced. We differed on many points of politics.
"One naturally thinks that, below a certain degree of cold, it is necessary to change light clothes for those made of thicker material. "As with the majority of the constructive elements of common sense, approximation is always based on experience.
The ships depart on their several destinations, and for months afterward when thousands of miles away they depend for their safety in dark and stormy nights, and among dangerous reefs and rocky shores, on the nice approximation to correctness in the note of time which this descending ball had given them. This is Greenwich, as it exists at the present day.
"I have known a few freedwomen married to men of wealth, and equestrian rank, who gained some vague approximation of social standing among the wives of their husbands' friends. But Marcia is the first freedwoman I ever knew or heard of to be treated, by everybody and at once, as if she had been freeborn and since birth in her husband's class.
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