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This tendency to fall back on manner greatly acquired indeed, but no longer consonant with the actual mood, which is really too vacant of import to parade such importance, is often a fault of natures whose native means of expression is the thin line, the geometer's precision, the architect's foresight in measurement.
And in fact, not only Galle on the 23rd of September, but also Challis on the 29th, immediately after reading the French geometer's lucid and impressive treatise, picked out from among the stellar points strewing the zodiac, a small planetary disc, which eventually proved to be that of the precise body he had been in search of during two months.
D'Alembert declined the education of the hereditary Grand Duke, just as he had declined the presidency of the Academy at Berlin; an infidel and almost a materialist by the geometer's rule, who knows no power but the laws of mathematics, he did not carry into anti-religious strife the bitterness of Voltaire, or the violence of Diderot.
The philosophy of friendship deals with those mathematical and physical conceptions of distance, likeness, and attraction what if the law of bodies govern souls also, and the geometer's compasses measure more than it has entered into his heart to conceive? Is the moon a name only for a certain tonnage of dead matter, and is the law of passion parochial while the law of gravitation is universal?
The geometer's method of starting with definitions and axioms and proceeding from proposition to proposition especially appealed to Spinoza, apart from the fact that geometry was an ideal science, because, for Spinoza, the essence of logical method consists in starting out with ideas that are of utter simplicity.
Proposing to myself the geometer's subject matter, and then turning again to examine my idea of a Perfect Being, I found that existence was comprehended in that idea just as, in the idea of a triangle is comprehended the notion that the sum of its angles is equal to two right angles; and that consequently it is as certain that God, this Perfect Being, is or exists, as any geometrical demonstration could be.
As to the common man, who never reasons, the arguments of an atheist are no better suited to him than a philosopher's hypothesis, an astronomer's observations, a chemist's experiments, a geometer's calculations, a physician's examinations, an architect's designs, or a lawyer's pleadings, who all labor for the people without their knowledge.
On neither the one side nor the other is there any action by the moving body to regulate the fall; nevertheless, the descent takes place according to a scientific trajectory, the 'parabola, of which the section of a cone by a plane furnished the prototype to the geometer's speculations.
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