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Updated: May 15, 2025
A knowledge of the heavens and the study of the movements of the celestial bodies, which every year receives very remarkable augmentations from the united efforts of the most renowned geometricians and the most indefatigable observers, may have a great influence on the progress of civilization. On which account the French government is extremely eager to promote the science of astronomy.
It includes architects, geometricians, mechanicians, engineers, weavers, physicists, chemists and surgeons who have forestalled most of our human inventions.
We are born artisans as we are born geometricians, and indeed we are geometricians only because we are artisans. Thus the human intellect, inasmuch as it is fashioned for the needs of human action, is an intellect which proceeds at the same time by intention and by calculation, by adapting means to ends and by thinking out mechanisms of more and more geometrical form.
But we now preposterously compute not the years we have studied, but the years we have lived. Tho geometricians and grammarians, and the professors of other arts, spent all their lives, however long, in treating and discussing their respective arts, does it thence follow that we must have as many lives as there are things to be learned?
But all the researches attempted by the most ingenious physicists towards this end have always failed, and this tends towards the idea held by many geometricians that these negative results are not due to imperfections in the experiments, but have a deep and general cause.
Nor is it possible to express the beauty of those astrologers and geometricians who are drawing a vast number of figures and characters with compasses on tablets: among whom, in the figure of a young man, shapely and handsome, who is throwing out his arms in admiration, and inclining his head, is the portrait of Federigo II, Duke of Mantua, who was then in Rome.
This scheme, which was begun under the father, was completed by the son: two or three hundred men, part surveyors, who were called geometricians, and part writers, who were called secretaries, were employed in this work: among those of the latter description Madam de Warrens had got me appointed.
He should resemble the modern geometricians in the greatness of his views and the profoundness of his researches, and the ancient alchemists in industry and piety.
What! are there not great captains, great geometricians, great dialecticians? Diogenes. Who denied it? A great man was the postulate. Try thy hand now at the powerful one. Plato. On seeing the exercise of power, a child cannot doubt who is powerful, more or less; for power is relative.
Systems of Philosophy are not subject to dispute but when their principles are not sufficiently proved; by degrees experience, in pointing out the truth and detecting their errors, terminates these quarrels. There is no variance among geometricians upon the principles of their science; it is only raised, when their suppositions are false, or their objects too much complicated.
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