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Updated: May 15, 2025
Even during the reign of terror, astronomy was not neglected. Afterwards, in 1796, the National Institute, richly endowed, proposed considerable premiums. France can now boast of two young geometricians, BIOT and PUISSON, who, for analytical genius, surpass all that exist in Europe. It is rather extraordinary that, with the exception of Mr. CAVENDISH and Dr.
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.
Or if you wish one author only to suffice you, choose Dom François Lami, a Benedictine monk, and one of the strongest Cartesians to be found in France. You will find among his Philosophical Letters, printed at Trévoux in 1703, that one wherein by the geometricians' method he demonstrates "that God is the sole true cause of all that which is real."
If the aim of the Society be only to convert men from sins they have no mind to, and to convince them of errors to which they have no temptation, they might as well be spending their money to persuade schoolmasters that two and two make four, or geometricians that there cannot be two obtuse angles in a triangle.
Well, as simple as they seem to you, reader, you shall yet see others which surpass them in dullness and simplicity. For our course is the reverse of that of the geometricians: with them, the farther they advance, the more difficult their problems become; we, on the contrary, after having commenced with the most abstruse propositions, shall end with the axioms.
It is not only full of such admirable generalizations as that in which he sums up the case for a literary as against a mathematical or scientific education: "The truth is that the knowledge of external nature and the sciences which that knowledge requires or includes are not the great or the frequent business of the human mind. . . . We are perpetually moralists: we are geometricians only by chance"; or that in which he expresses his contempt for Dryden exchanging Billingsgate with Settle: "Minds are not levelled in their powers, but when they are first levelled in their desires"; or the pregnant commonplace with which he prefaces his derision of the artificial love-poems which Cowley thought it necessary to address to an imaginary mistress: "It is surely not difficult, in the solitude of a college or in the bustle of the world, to find useful studies and serious employment."
A corroboration of what I have said is the fact, that the young come to be geometricians, and mathematicians, and Scientific in such matters, but it is not thought that a young man can come to be possessed of Practical Wisdom: now the reason is, that this Wisdom has for its object particular facts, which come to be known from experience, which a young man has not because it is produced only by length of time.
The same reasons which led Plato to recommend the study of arithmetic led him to recommend also the study of mathematics. The vulgar crowd of geometricians, he says, will not understand him. They have practice always in view. The office of geometry, he said, was to discipline the mind, not to minister to the base wants of the body.
We know exactly the angle which the sail of a ship is to make with the keel in order to its sailing better; and yet Columbus discovered America without having the least idea of the property of this angle: however, I am far from inferring from hence that we are to confine ourselves merely to a blind practice, but happy it were, would naturalists and geometricians unite, as much as possible, the practice with the theory.
So he sent men to measure their country, and sent with them some geometricians, who could not easily fail of knowing the truth, on account of their skill in that art.
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