An engineer, named M. de Roubais, astonished at this conclusion, demonstrated that, by the measurements taken in France, the earth must be an oblate spheroid, of which the meridian passing through the poles must be longer than the equator, the poles being elongated. But of all the natural philosophers to whom he addressed his dissertation, not one would have it printed; because it seemed that the academy had pronounced it as too bold in an individual to raise his voice. Some time after the error of 1701 was acknowledged, that which had been said was unsaid; and the earth was lengthened by a just conclusion drawn from a false principle. The meridian was continued in the same principle from Paris to Dunkirk; and the degrees were still found to grow shorter as they approached the north. People were still mistaken respecting the figure of the earth, as they had been concerning the nature of light. About the same time, some mathematicians who were performing the same operations in China were astonished to find a difference among their degrees, which they had expected to find alike; and to discover, after many verifications, that they were shorter towards the north than towards the south. This accordance of the mathematicians of France with those of China was another powerful reason for believing in the oblate spheroid. In France they did still more; they measured parallels to the equator. It is easily understood that on an oblate spheroid our degrees of longitude must be shorter than on a sphere. M. de Cassini found the parallel which passes through St. Malo to be shorter by one thousand and thirty-seven toises than it would have been on a spherical earth. All these measurements proved that the degrees had been found as it was wished to find them. They overturned, for a time, in France, the demonstrations of Newton and Huygens; and it was no longer doubted that the poles were of a form precisely contrary to that which had at first been attributed to them. In short, nothing at all was known about the matter. At length, other academicians, who had visited the polar circle in 1736, having found, by new measurements, that the degree was longer there than in France, people doubted between them and the Cassinis. But these doubts were soon after removed: for these same astronomers, returning from the pole, examined afresh the degree to the north of Paris, measured by Picard, in 1677, and found it to be a hundred and twenty-three toises longer than it was according to Picard's measurement. If, then, Picard, with all his precautions, had made his degree one hundred and twenty-three toises too short, it was not at all unlikely that the degrees towards the south had in like manner been found too long. Thus the first error of Picard, having furnished the foundations for the measurements of the meridian, also furnished an excuse for the almost inevitable errors which very good astronomers might have committed in the course of these operations.