Word Finder - geometry

definition

The branch of mathematics dealing with spatial relationships.

definition

(often qualified in combination) A mathematical system that deals with spatial relationships and that is built on a particular set of axioms; a subbranch of geometry which deals with such a system or systems.

definition

The observed or specified spatial attributes of an object, etc.

I think we shared a geometry class the last year of school.

For example, geometry is such a department.

The geometry of the rectangular hyperbola is simplified by the fact that its principal axes are equal.

The "axioms" of geometry are the fixed conditions which occur in the hypotheses of the geometrical propositions.

One paper has Helen demonstrating problems in geometry by means of her playing blocks.

His life was devoted to the study of higher geometry and reforming the more advanced mathematical teaching of Italy.

Thus Descartes gave to modern geometry that abstract and general character in which consists its superiority to the geometry of the ancients.

He was elected fellow of Balliol in 1850 and Savilian professor of geometry in 1861, and in 1874 was appointed keeper of the university museum.

The Canonis Descriptio on its publication in 1614, at once attracted the attention of Edward Wright, whose name is known in connexion with improvements in navigation, and Henry Briggs, then professor of geometry at Gresham College, London.

Learning shapes is an introduction to geometry.

The book will contain four essays, all in French, with the general title of Project of a Universal science, capable of raising our nature to its highest perfection; also Dioptrics, Meteors and Geometry, wherein the most curious matters which the author could select as a proof of the universal science which he proposes are explained in such a way that even the unlearned may understand them.'

In mathematics, he was the first to draw up a methodical treatment of mechanics with the aid of geometry; he first distinguished harmonic progression from arithmetical and geometrical progressions.

Thus what have been called seminvariants are not all of them invariants for the general substitution, but are invariants for the particular substitution xl = X11 + J-s12, X 2 = 112 Again, in plane geometry, the most general equations of substitution which change from old axes inclined at w to new axes inclined at w' =13 - a, and inclined at angles a, l3 to the old axis of x, without change of origin, are x-sin(wa)X+sin(w -/3)Y sin w sin ' _sin ax y sin w a transformation of modulus sin w' sin w' The theory of invariants originated in the discussion, by George Boole, of this system so important in geometry.

His manual on Graphical Statics and his Elements of Projective Geometry (translated by C. Leudesdorf), have been published in English by the Clarendon Press.

But as yet he had only glimpses of a logical method which should invigorate the syllogism by the co-operation of ancient geometry and modern algebra.

But the pupil soon found his teacher to be a charlatan, and taught himself, aided by commentaries, to master logic, geometry andastronomy.

In 1664 Sir John Cutler instituted for his benefit a mechanical lectureship of £50 a year, and in the following year he was nominated professor of geometry in Gresham College, where he subsequently resided.

During this period logarithms were invented, trigonometry and algebra developed, analytical geometry invented, dynamics put upon a sound basis, and the period closed with the magnificent invention of (or at least the perfecting of) the differential calculus by Newton and Leibnitz and the discovery of gravitation.

Thus the whole method of measurement in geometry as described in the elementary textbooks and the older treatises is obscure to the last degree.

The braille worked well enough in the languages, but when it came to geometry and algebra, difficulties arose.

It is true that I was familiar with all literary braille in common use in this country--English, American, and New York Point; but the various signs and symbols in geometry and algebra in the three systems are very different, and I had used only the English braille in my algebra.

However, the braille worked well enough in the languages; but when it came to Geometry and Algebra, it was different.

Mobius must be regarded as one of the leaders in the introduction of the powerful methods of modern projective geometry.

Fermat, Roberval and Desargues took exception in their various ways to the methods employed in the geometry, and to the demonstrations of the laws of refraction given in the Dioptrics and Meteors.

The ancient geometry, as we know it, is a wonderful monument of ingenuity - a series of tours de force, in which each problem to all appearance stands alone, and, if solved, is solved by methods and principles peculiar to itself.

Such is the basis of the algebraical or modern analytical geometry.

It can be proved by geometry that (aA-H3B) +yC = aA+(aB+- y C) = (a + 1 3+ 7) P, where P is in fact the centroid of masses a, 13, y placed at A, B, C respectively.

This he treated synthetically, to the total exclusion of analysis, which he hated, and he is said to have considered it a disgrace to synthetical geometry if equal or higher results were obtained by analytical methods.

He showed that assigning meaning to the sign of an otherwise homogenous representation of geometry could provide a multitude of benefits.

The precise geometry and details of an X-ray producing region around a supermassive black hole are not known.

Those 166 horses gallop along courtesy of a variable geometry turbocharger.

Using Battleship coordinates game geometry can work for you or against you.

By using the Battleship coordinates game geometry to setup your ships and to determine where your opponent's ships are, you can make the game more strategic than lucky.

Standard black and white offers a geometry that is both pleasing to the eye and to your design.

Because the carat is a measure of weight rather than size, two stones that have identical carat weights may actually appear very different depending on their exact geometry, proportions, and shape.

Because many black pearl ring designs incorporate multiple diamonds, a good understanding of the importance of diamond geometry and total carat weight are also valuable.

The art deco era is known for bold geometry and colorful styles, but heart shapes are not typically found in art deco engagement rings.

Math Playground has several fun math games that teach basic math, algebra, geometry, money and percentages.

As a mathematician he occupied himself with many branches of his favourite science, more especially with higher algebra, including the theory of determinants, with the general calculus of symbols, and with the application of analysis to geometry and mechanics.

Henry Briggs, then professor of geometry at Gresham College, London, and afterwards Savilian professor of geometry at Oxford, welcomed the Descriptio with enthusiasm.

In 1717 Abraham Sharp published in his Geometry Improv'd the Briggian logarithms of numbers from 1 to 100, and of primes from 100 to 1100, to 61 places; these were copied into the later editions of Sherwin and other works.

The form of a circle is familiar to all; and we proceed to define certain lines, points, &c., which constantly occur in studying its geometry.

The introduction of these lines and points constitutes a striking achievement in geometry, and from their association with circles they have been named the " circular lines " and " circular points."

In various systems of triangular co-ordinates the equations to circles specially related to the triangle of reference assume comparatively simple forms; consequently they provide elegant algebraical demonstrations of properties concerning a triangle and the circles intimately associated with its geometry.

Very early in the history of geometry it was known that the circumference and area of a circle of radius r could be expressed in the forms 27rr and 7rr2.

The problem of finding a square equal in area to a given circle, like all problems, may be increased in difficulty by the imposition of restrictions; consequently under the designation there may be embraced quite a variety of geometrical problems. It has to be noted, however, that, when the " squaring " of the circle is especially spoken of, it is almost always tacitly assumed that the restrictions are those of the Euclidean geometry.

For in such a construction every point of the figure is obtained by the intersection of two straight lines, a straight line and a circle, or two circles; and as this implies that, when a unit of length is introduced, numbers employed, and the problem transformed into one of algebraic geometry, the equations to be solved can only be of the first or second degree, it follows that the equation to which we must be finally led is a rational equation of even degree.

He was taught the use of the astrolabe (which Prince Yakov Dolgoruki, with intent to please, had brought him from Paris) by a Dutchman, Franz Timmerman, who also instructed him in the rudiments of geometry and fortifications.

One while he devoted himself to the sciences, " perfecting himself in music, arithmetic, geometry and ' Life, P. 93.

The king frequently sent for him into his closet, and discoursed with him on astronomy, geometry and points of divinity.