Every evening the great geometer entered my room, and we passed entire hours in conversing on politics and mathematics, which is certainly not quite the same thing.
The great geometer has demonstrated that no circumstance depending on universal gravitation can sensibly displace the poles of the earth's axis relatively to the surface of the terrestrial spheroid.
The examiner, this time, was the illustrious geometer Legendre, of whom, a few years after, I had the honour of becoming the colleague and the friend.
By means of an investigation which demanded the most minute attention, the great geometer discovered in the theory of the moon's movements, two well-defined perturbations depending on the spheroidal figure of the earth.
The prediction of the illustrious geometer was verified in regard both to time and space: astronomy had just achieved a great and important triumph, and, as usual, had destroyed at one blow a disgraceful and inveterate prejudice.
The results obtained by that great geometer have been mainly confirmed by the recent researches of Le Verrier on the same subject.
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.
I ought to add that soon afterwards, the ruling authorities whose repugnances were entirely dissipated, frankly and unreservedly applauded the happy choice which you made of the learned geometer to replace Delambre as perpetual secretary.
Even the great geometer Euclid treated the subject on that erroneous principle, an error corrected by the Arabians.
They will be capable of touching this special sensibility of the geometer of which I have just spoken, and which, once aroused, will call our attention to them, and thus give them occasion to become conscious.
The illustrious geometer successively adopted two conventions which good sense seemed equally to dictate and with one he found 1/2, with the other 1/3.
Of course that sometimes happens; thus Gauss was at the same time a geometer of genius and a very precocious and accurate computer.
But the pure geometer makes a further effort; without entirely renouncing the aid of the senses, he tries to reach the concept of the line without breadth, of the point without extension.
The practician will always have need of it, and for one pure geometer there should be a hundred practicians.
And then, our two bands, however narrow they may be, will always have a common area, the smaller as they are the narrower, and whose limit will be what the pure geometer calls a point.
The geometer who reasons in this way, consciously or not, is only doing what we have done above to prove two lines which cut have a point in common, and his intuition might seem just as legitimate.
For the pure geometer himself, this faculty is necessary; it is by logic one demonstrates, by intuition one invents.
But it would imply contradiction if lines were conceived as continua of the first order, that is to say, if on the lines traced by the geometer should be found only points having for coordinates rational numbers.
Without it the geometer would be like a writer who should be versed in grammar but had no ideas.
The mathematician is born, not made, and it seems he is born a geometer or an analyst.
Although this proposition is generally attributed to Euler, and was, indeed, rediscovered by him and published in 1752, it was known to the great French geometer Descartes, a fact that Leibnitz mentions.
What Eratosthenes really did was to approach both astronomy and geography from two seemingly divergent points of attack--namely, from the stand-point of the geometer and also from that of the poet.
The Egyptian geometer was able to measure irregular pieces of land only approximately.
Some object that the geometer makes a false hypothesis or assumption, when he declares a given line drawn to be straight, or to be a foot long, though it is neither one nor the other.
Nor does the geometer investigate the analogous concomitants belonging to his figures; it is no part of his province to determine whether a triangle is different from a triangle having two right angles (b.
The geometerdoes not debate nor prove the first principia of his own science; neither those that it has in common with other sciences, nor those peculiar to itself.
When a geometerwishes to understand the form of a curve, he first resolves it into small rectilinear elements.
In truth, from the amount of the recession a geometer could actually determine the distance of the trees from us without ever going near them.
The more proper course is, to regard the abstract determinative elements of a fact as interdependent, in a purely logical way, as the mathematician or geometer does.
He was a man of very extensive learning: we shall first speak of him as a geometer and astronomer.
Be quiet, now: we'll manage to lay the geometer out some time, and make him forget the resurrection of the legs.
Florian perceived that they were looking at him: he saw the squire pass his hand over his upper lip, while the geometer laughed immoderately and said something which sounded like "Samson.
In spite of the exertions of the Red Tailor and mine host of the Eagle, the geometer transferred his head-quarters to Muehl.
I haven't married the geometer yet, but cut him I can't now: my folks would throttle me in my sleep if I was to turn him off.
The geometer entered, and at once the father and mother ran over with the milk of human kindness and loved each other tenderly.
Crescence had promised the geometer an interview at Eglesthal; but Florian easily succeeded in inducing her to break her word.
Almost every Sunday Crescence was compelled, with cruel maltreatment, to go with her father and meet the geometer in Muehl or at the half-way house in Eglesthal.
He took his hat out of his hand and refused to return it, well knowing that if thegeometer stayed there would not only be a peaceful dinner, but perhaps also a quart of beer.
Balt exerted all his eloquence, and almost resorted to "gentle compulsion," to induce the geometer to stay.
When Crescence returned home, she found the geometer waiting for her, and was forced to receive him with smiles.
He was never seen near the tailor's house in the daytime; and when he met Crescence in the evening, and she laughed at him, he swore to make the geometer pay him for every hair.
Before the geometer had half cleared his plate the worthy hostess put another piece upon it.
The conversation was carried on by the lady of the house and the geometer exclusively.
Aristophanes, in the Birds, introduces a geometer who announces his intention to make a square circle.
Smith, who had asked whether his character as an honest Geometer and Mathematician was not at stake, is warned against the fallacia plurium interrogationum.
Ivory was of that note in the scientific world which may be guessed from Laplace's description of him as the first geometer in Britain and one of the first in Europe.
The geometertakes any set of axioms that seem interesting, and deduces their consequences.
Thus the geometer leaves to the man of science to decide, as best he may, what axioms are most nearly true in the actual world.
In the larva of a geometer (Geometra lunaria) the third pair are remarkably long.
This is not, however, universally the case, for the caterpillar of a Geometer described by Reaumur (ii.
The geometer uses not the same obedient hand, but he equally feels and perceives the reality of that figure which the broad infinite around him comprehends con suo soverchio.
Stewart's writings were of a kind calculated to render them peculiarly attractive to the non-academic school of English geometers, they remain to this day less generally known than the writings of any geometer of these kingdoms.
Here our conceptions cannot even pretend to represent the objects; they are as purely symbolic as the algebraic equations whereby the geometer expresses the shapes of curves.
Its larva is a pseudo-geometer possessing twelve legs (Fig.
Its mode of progression is very peculiar, resembling that of the Geometer larvae among the Lepidoptera.
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.
The geometer has made in his first reflection so clear and violent an abstraction from the sun's actual bulk and qualities that he will never imagine himself to be speaking of anything but a concretion in discourse.
Sidenote: Logic dependent on fact for its importance,] Now, like the geometer and ingenuous theologian that he was, Plato developed the import of moral and logical experience.
Most of the Geometer caterpillars, of which we have already spoken, are well trained in the art of deception.
A large number of other exceptions to the general rule are to be found in the caterpillars of the Geometer Moths (page 268), one of which is here represented.
And now, at once, recurs the question, How is it that the Church produced no geometer in her autocratic reign of twelve hundred years?
There are visible objects, squares and triangles, for instance; but these are not the squares and triangles about which the Geometer reasons.
Like the great geometer of Syracuse, Archimedes, who had ever been her inspiration in the study of mathematics, she would have died rather than abandon a problem which, for the time being, engaged her attention.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "geometer" in a variety of sentences. We hope that you will now be able to make sentences using this word.
