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Updated: May 10, 2025


In physics, when this is attained, the memory disburthens itself of its cumbrous catalogues of particulars, and carries centuries of observation in a single formula. Thus even in physics, the material is degraded before the spiritual. The astronomer, the geometer, rely on their irrefragable analysis, and disdain the results of observation.

A special correspondent who is not precise is a geometer who neglects to run out his calculations to the tenth decimal. This delay of three minutes made the German our traveling companion. I have an idea that this good man will furnish me with some copy, but it is only a presentiment. It is still daylight at six o'clock in the evening in this latitude. I have bought a time-table and I consult it.

Upon his return to Auxerre, the young geometer found the town, the surrounding country, and even the school to which he belonged, occupied intensely with the great questions relative to the dignity of human nature, philosophy, and politics, which were then discussed by the orators of the different parties of the National Assembly. Fourier abandoned himself also to this movement of the human mind.

Both these unities were violated in old religious paintings where sometimes the Nativity, Flight into Egypt, Crucifixion, and Resurrection were all portrayed on one canvas. The space of painting is no abstract aspect of things such as the geometer elaborates.

Moreover, he said, "the infinitesimal calculus of Leibnitz will show you that the architecture of the Louvre is less learned than that of a snail: the eternal geometer has unrolled his transcendent spirals on the shell of the mollusc that you, like the vulgar profane, know only seasoned with spinach and Dutch cheese."

In him the freest abandonment is united with the precision of a geometer. His daring imagination gives him the more solid grasp of facts; as the birds of highest flight have the strongest alar bones. His patrician polish, his intrinsic elegance, edged by an irony so subtle that it stings and paralyzes, adorn the soundest health and strength of frame.

It is to Lambert of Mulhouse, that we owe this first step. This ingenious geometer had proposed a very simple problem which any person may comprehend. A slender metallic bar is exposed at one of its extremities to the constant action of a certain focus of heat. The parts nearest the focus are heated first.

My letters sent from the lazaretto at Marseilles were considered by my relatives and friends as certificates of resurrection, they having for a long time past supposed me dead. A great geometer had even proposed to the Bureau of Longitude no longer to pay my allowance to my authorized representative; which appears the more cruel inasmuch as this representative was my father.

In the midst of the labyrinth formed by increases and diminutions of velocity, variations in the forms of the orbits, changes of distances and inclinations, which these forces must evidently produce, the most learned geometer would fail to discover a trustworthy guide. This extreme complication gave birth to a discouraging reflection.

It would not occur to a geometer to ask with trepidation what difference it would make to the Pythagorean proposition if the hypothenuse were said to be wise and good. Yet metaphysicians, confounding dialectic with physics and thereby corrupting both, will discuss for ever the difference it makes to substance whether you call it matter or God.

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