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The pious old Gaelic proverb, which says, "on the Cross the face of Christ was looking westwards ," was again on the lips and in the hearts of men, and though much remained to be done, much had been already done, and done under difficulties greater than any that remained to conquer. The total population of Ireland, when the Normans first entered it, can only be approximated by conjecture.
This was largely guesswork, but I approximated distances and made the situation fairly clear. When I had completed the explanation, and stood before them awaiting decision, it was Haines who acted as their spokesman. "This yere is Cape Howarth?" he asked, a grimy thumb on the point indicated. "An' yer say it's 'bout a hundred and fifty miles west?" "Yes, about that." "An' thar's no settlement?"
And as men no longer lived in a world empire like the Roman, but in an independent system with states which approximated to a similar degree of bourgeois development and which had intercourse with one another on an equal footing, the demand took on necessarily a universal character reaching beyond the individual state, and freedom and equality were thus proclaimed as human rights.
Since the period in which his country fell, his wandering senses have approximated to what you see." Dr. Cavendish paused for a moment before he answered the count; then fixing his eyes on the veteran, who was sitting at the other end of the room, constructing the model of a fortified town, he said
FitzPatrick scaled honestly, for he was a just man, but exactitude and optimism of estimate never have approximated, and they did not in this case. The Rough Red grumbled, accused, swore, threatened. FitzPatrick smoked "Peerless," and said nothing.
They approximated to the truth in reference to the solar year, by observing the equinoxes and solstices and the heliacal rising of particular stars.
He stated the periodic times of the five planets visible to the naked eye, but only approximated to the true periods. The error of only one hundred and ninety days in the periodic time of Saturn, shows that there had been, for a long time, close observations.
Especially must the -de facto- freedom of the client have approximated to freedom -de jure- in those cases where the relation had subsisted for several generations: when the releaser and the released had themselves died, the -dominium- over the descendants of the released person could not be without flagrant impiety claimed by the heirs at law of the releaser; and thus there was gradually formed within the household itself a class of persons in dependent freedom, who were different alike from the slaves and from the members of the -gens- entitled in the eye of the law to full and equal rights.
After pondering long, and as profoundly as he could, upon these figures, Captain Servadac came to the conclusion that, as the earth was now receiving about double the amount of light and heat that it had been receiving before the catastrophe, it was receiving about the same as the planet Venus; he was driven, therefore, to the estimate of the measure in which the earth must have approximated to the sun, a deduction in which he was confirmed when the opportunity came for him to observe Venus herself in the splendid proportions that she now assumed.
But these vast gold mines are not the only mineral discoveries that have been made. The quicksilver in the same region seems to be as abundant as the gold, so that there are approximated to each other two metals, which will have a most important effect and utility in making the gold mines more valuable.
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