It is observed by a great mathematician, that a geometrician would not be unhappy in a desert.
How will the geometrician explain his infinitely extended lines, or lines that may be infinitely extended?
The geometrician tells us the line may be infinitely extended--that is, it is infinitely possible; but it cannot be so unless there is an infinite ground on which it can be projected.
A geometricianhas learned to perform the most difficult demonstrations and calculations, as a monkey has learned to take his little hat off and on, and to mount his tame dog.
But would Chance, the deist asks, be a great enough geometrician to vary thus, at pleasure, the works of which she is supposed to be the author, without being hindered by so great a diversity from gaining the same end?
The method of the geometrician does not consist in the study of figures presented to the senses.
Nor does the geometrician employ a dogmatic method, that of studying the mere conception of a figure.
The geometrician proceeds in this manner: he defines the cone, an ideal conception; then he intersects it by a plane.
First, therefore, Hermeas the geometrician demanded of Protogenes the grammarian a reason why Alpha was the first letter of the alphabet.
But mathematics uses the infinite in magnitude; thus, the geometrician in his demonstrations says, "Let this line be infinite.
A geometrician does not need to assume a line actually infinite, but takes some actually finite line, from which he subtracts whatever he finds necessary; which line he calls infinite.
A geometrician demonstrates to you, that between a circle and a tangent, you may thread a number of curves, and yet cannot get one straight line to pass.
The geometrician gravely answers you, that it is an infinitesimal of the second order.
Consult but a geometrician of more candor, and he explains the mystery to you.
My geometrician was a kind of philosophical patriot, who had deigned to chat with me sometimes in my cottage.
By the force of imagination, the geometricianmakes a hundred thousand curved lines pass between a circle and a right line that touches it, when, in reality, there is not room for a straw to pass there.
Thales was no less famous as a geometricianthan he was as a sage.
Inasmuch, however, as space would have no parts unless it were divided, the geometrician is forced to assume such a division; and he takes the simplest possible form of it, a division by lines.
Who is regarded as the first geometrician of the age, 80.
Hence, the conclusions of the geometrician approximate so close to truth, that we are justified in accepting them as true.
The object of the geometrician is, to generalize the laws of space; in other words, to ascertain the necessary and universal relations of its various parts.
In his correspondence there is a letter to Pascal, in which he makes free in a somewhat ridiculous manner with the young geometrician already so distinguished.
In a desert island, accordingly, I should think that a poet could scarcely be vain; whereas a geometrician might still enjoy the pride of discovery.
Not only does the geometrician find light in them for the illumination of otherwise dark and undiscovered properties of ordinary spaces of intuition, but he also discovers there wondrous structures quite unknown to ordinary space.
All that which seems positive to the physicist and to the geometrician would become, from this new point of view, an interruption or inversion of the true positivity, which would have to be defined in psychological terms.
The biologist who proceeds as a geometrician is too ready to take advantage here of our inability to give a precise and general definition of individuality.
The truth is that the geometrician does not introduce us to a new world at all.
The geometrician in the right eye, too much at his ease to question his possibly peevish comrade in the matter, answers the same.
But far beyond this, philosophy alone can make the geometrician or the physicist acquainted with the inner essence of the objects which form the special material of their studies.
If Kepler had only proceeded by the aid of formulas, he would never have discovered the laws of worlds; and Leibnitz would undoubtedly have been a far less distinguished geometrician had he not been an equally eminent philosopher.
As for him, he seemed as if he thought himself in an agreeable place; for he unwrinkled his brows a little and laughed, as if he had not the least tincture of geometrician in him.
Montesquieu encountered a geometrician outside a coffee house on the Pont Neuf, and accompanied him inside.
Theodorus would be a bad geometrician if he had nothing better to offer.
It is not by changing of terms that a geometrician can solve problems; one word will throw no more light on a subject than another, unless that word carries a certain degree of conviction in the ideas which it generates.
Bolyai, for his invention of the fourth dimension in anti-Euclidian geometry, has been called the geometrician of the insane, and compared to a miller who wishes to make flour of sand.
The geometrician will, of course, give the answer at once, and not need to make any experiment.
To the geometrician this is absurd, and the four shares are not equal in area unless they consist of two pieces each.
Canterbury Puzzles"), no geometrician would have had any difficulty in doing what is required in five pieces: the whole point of the discovery lay in performing the little feat in four pieces only.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "geometrician" in a variety of sentences. We hope that you will now be able to make sentences using this word.
