These "Elements" soon became the universal study of geometers throughout the civilized world; they were translated into the Arabic, and through the Arabians were made known to mediaeval Europe.

Modern mathematicians may not have the patience to go through his investigations, since the conclusions he arrived at may now be reached by shorter methods; but the great conclusions of the old geometers were reached by only prodigious mathematical power.

Eratosthenes was another of the famous geometers of antiquity, and did much to improve geometrical analysis.

He was called the Great Geometer.

Other famous geometers could also be named, but such men as Euclid, Archimedes, and Apollonius are enough to show that geometry was cultivated to a great extent by the philosophers of antiquity.

[people who calculate] arithmetician, calculator, abacist^, algebraist, mathematician; statistician, geometer; programmer; accountant, auditor.

astrolabe, armillary sphere^. land surveyor; geometer.

Like skeletons of death they sit; thorns tear their skin, their nails pierce into their hands, day and night one arm is held uplifted, iron grows embedded in their flesh, like a railing in a tree trunk, they hang in ecstasy from hooks, they count their thousand miles of pilgrimage by the double yard-measure of head to heel, moving like a geometer caterpillar across the burning dust.

A special correspondent who is not precise is a geometer who neglects to run out his calculations to the tenth decimal.

Such is the cycloid, first conceived by Galileo, and a stumbling-block and cause of contention among geometers long after he had left it, together with his system of the universe, undetermined.

The greatest geometers of the day, Pascal, Roberval, and others, unhesitatingly adopted this method, and employed it in the abstruse researches which engaged their attention.

A certain Chever also performed sundry singular mathematical feats, such as squaring the circle, a problem which he reduced to the single question, Construere mundum divinae menti analogum, and showing that the parabola, the only conic section squared by ancient or modern geometers, could never be quadrated, to the eternal discomfiture and discredit of the shade of Archimedes.

" MAN THE GEOMETER When man essays the rôle of creator he cannot do otherwise than follow similar sequences: it is easy to discern dimensional progression in the products of man's ingenuity and skill.

de Lespinasse, the great affection of his life, the illustrious geometer was content with a little.

" 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.

Virgil the Geometer, i.e., Fergil (O'Farrell), was Abbot of Aghaboe, went to the continent in 741, and was afterwards Bishop of Salzburg.

So celebrated was he that it has been thought that a part of the favor in which the author of the Aeneid was held by medieval churchmen was due to a confusion between his name and that of the geometer, sometimes spoken of as St. Virgil.

But here he speaks like a geometer, and not like an artist.

In the words of the old-time classical geometer, I have found it; and as he remarked on another occasion (I believe subsequently), 'Give me where to stand, and I will move the Universe.'

The figures of the geometer, the quantities of the chemist, the measurements of the astronomer, are inexact approximations to their equivalent in the mind.

PAPPUS OF ALEXANDRIA, a Greek geometer of the third or fourth century, author of "Mathematical Collections," in eight books, of which the first and second have been lost.

The geometers appeared in numbers that were unheard of.