Constructions Sentence Examples

And the algebraists or arithmeticians of the 16th century, such as Luca Pacioli (Lucas de Borgo), Geronimo or Girolamo Cardano (1501-1576), and Niccola Tartaglia (1506-1559), had used geometrical constructions to throw light on the solution of particular equations.

To the latter belong views of the Antichrist, of the heathen worldpower, of the place, extent, and duration of the earthly kingdom of Christ, &c. These remained in a state of solution; they were modified from day to day, partly because of the changing circumstances of the present by which forecasts of the future were regulated, partly because the indications - real or supposed - of the ancient prophets always admitted of new combinations and constructions.

They teach further the solution of problems leading to equations of the first and second degree, to determinate and indeterminate equations, not by single and double position only, but by real algebra, proved by means of geometric constructions, and including the use of letters as symbols for known numbers, the unknown quantity being called res and its square census.

Spiders form at least two kinds of constructions - snares for the capture of prey and nests for the preservation of the young.

He improved the methods for solving equations, and devised geometrical constructions with the aid of the conic sections.

So far the development of algebra and geometry had been mutually independent, except for a few isolated applications of geometrical constructions to the solution of algebraical problems. Certain minds had long suspected the advantages which would accrue from the unrestricted application of algebra to geometry, but it was not until the advent of the philosopher Rene Descartes that the co-ordination was effected.

After it had been supplanted by Arabic in the ordinary intercourse of life its literary use was more and more affected by Arabic words and constructions, and its freedom as a vehicle of thought was much impaired.

The queen sadly needed such of Wel a counsellor, for Prince Albert's position was one full of difficulty, and party malignity was continually putting wrong constructions upon the advice which he gave, and imputing to him advice which he did not give.

But the fantastic relations imagined by him of planetary movements and distances to musical intervals and geometrical constructions seemed to himself discoveries no less admirable than the achievements which have secured his lasting fame.

Amongst the legitimate reasons for suspecting the correctness of a text are patent contradictions in a passage or its immediate neighbourhood, proved and inexplicable deviations from the standards for forms, constructions and usages (mere rarity or singularity is not enough), weak and purposeless repetitions of a word (if there is no reason for attributing these to the writer), violations of the laws of metre and rhythm as observed by the author, obvious breaks in the thought (incoherence) or disorderly sequence in the same (double or multiple incoherence).

Some of the Italian terremare show quadrangular constructions made like the modern log houses, of undressed tree trunks superposed longitudinally and overlapping at the ends, as at Castione in the province of Parma.

Overhead railways are virtually continuous bridge constructions, and much attention has been given to a study of the special conditions appertaining to that case.

By ignoring the free poetical form of prophecy, and still more by ignoring the fact that the prophetic pictures of the ideal future of Israel could not be literally fulfilled after the fall of the ancient state had entirely changed the sphere in which the problems of true religion had to be worked out, it was possible to find a great mass of unfulfilled prophecy which might form the basis of eschatological constructions.

The tower resembles similar constructions found beside Irish churches of the 7th and 8th centuries and has walls 3 ft.

So popular has it become that besides being used for massive constructions like breakwaters, dock walls, culverts, and for foundations of buildings, lighthouses and bridges, it is also proving its usefulness to the architect and engineer in many other ways.

Similar constructions are to be found on the seaward side of the islands of Walcheren, Schouwen and Voorne, and between 's Gravenzande and Scheveningen, and Katwijk and Noordwijk.

The meaning of many words may be still unknown, and many constructions are still obscure; but at least he can distinguish fairly between a correct text and a corrupt text.

Even these had been preceded by earlier Pythagorean constructions envisaging the divine life in divine triangles.

At Haibak there is a very perfect excavation called the Takht-iRustam (a general name for all incomprehensible constructions amongst the modern inhabitants of Afghan Turkestan), which consists of an annular ditch enclosing a platform, with a small house about 21 ft.

To this Akkadian occupation succeeded an occupation by the first Semitic dynasty of Ur, and the constructions of Ur-Gur or Ur-Engur, the great builder of Babylonian temples, are superimposed immediately upon the constructions of Naram-Sin.

Partly razing the constructions of his predecessors, he erected a terrace of unbaked bricks, some 40 ft.

It is worthy of note that prison architecture in the United States misses many of the gloomy features common to such constructions.

His constructions are based on the idea that the imaginaries d - 1 represent a unit line, and its reverse, perpendicular to the line on which the real units 1 are measured.

Swedenborg is usually reckoned among the theosophists, and some parts of his theory justify this inclusion; but his system as a whole has little in common with those speculative constructions of the Divine nature which form the essence of theosophy, as strictly understood.

One of the most beautiful graphical constructions regularly used by engineers and known as the method of reciprocal figures is that for finding the loads supported by the several members of a braced structure, having given a system of external loads.

Homer uses no constructions loosely or without corresponding differences of meaning.

With our present knowledge of such constructions, their date cannot certainly be determined.

With this comes the whole vast and ever-widening range of inventive and adaptive art, where the uniform hereditary instinct of the cell-forming bee and the nest-building bird is supplanted by multiform processes and constructions, often at first rude and clumsy in comparison to those of the lower instinct, but carried on by the faculty of improvement and new invention into ever higher stages.

The earlier Buddhist constructions have proved more durable than the Mahommedan buildings.

The notions of distance and of lines at right angles are connected with the circular points; and almost every construction of a curve by means of lines of a determinate length, or at right angles to each other, and (as such) mechanical constructions by means of linkwork, give rise to curves passing the same definite number of times through the two circular points respectively, or say to circular curves, and in which the fixed centres of the construction present themselves as ordinary, or as singular, foci.

This arrangement, by which the gas was cooled down by the action of the air, acted as a'gas-siphon for drawing the gas out of the producer, but it has various drawbacks and has been abandoned in all modern constructions.

The character of the ancient citadel wall at Athens, already mentioned, has given the name "Pelasgic masonry" to all constructions of large unhewn blocks fitted roughly together without mortar, from Asia Minor to Spain.

But the Trinity and the Hypostatic Union are vast speculative constructions reared upon slender biblical data.

We may conclude the ancient history of the lunar theory by saying that the only real progress from Hipparchus to Newton consisted in the more exact determination of the mean motions of the moon, its perigee and its line of nodes, and in the discovery of three inequalities, the representation of which required geometrical constructions increasing in complexity with every step.

His criticisms are worth more than his constructions; indeed for exactness and penetration of thought he is quite on a level with Hume and Kant.

This property is true for all conics, and it served as the basis of most of the constructions and propositions given by Apollonius.

When well made such constructions are almost free from spherical aberration, and the chromatic errors are very small.

Very different constructions are in use.

The definition is better according as the chromatic and spherical aberrations are removed; there always remains in even the best constructions some slight aberration.

In the latest constructions of cage presses, the use of bags is entirely dispensed with, a measured-out quantity of seed falling direct into the circular press cage and being separated from the material forming the next cake by a circular plate of sheet iron.

In his early essays he had rightly drawn the distinction between mathematical demonstration and philosophic proof, referring the certainty of the first to the fact that the constructions were synthetic in character and entirely determined by the action of constructive imagination.

It had not then occurred to him to ask, With what right do we assume that the conclusions arrived at from arbitrary constructions in mathematical matter have applicability to objects of experience?

Puddling furnaces are usually entirely cased with iron plates, and blast furnaces with hoops round each course of the stack, or in those of thinner constructions the firebrick work is entirely enclosed in a wrought iron casing or jacket.

The constructions include an adder, a sliding block memory, a memory cell and many more fascinating parts.

The phenomenon of root allomorphy is characterized by the use of different allomorphs of the same root in various morphosyntactic constructions.

And yet these oppositions do not seem to be purely analytical constructions.

More recently, I have investigated conditional constructions in the early attestations of these languages.

With more delicate constructions, we employ sponges and soft bristled brushes to gently groom the face fiber and allow a gentle cleaning action.

In order to find out exactly what constructions are used in the text, I made concordances.

EndIf constructions ̃ MapNetworkDrive already connected This is what I call a busy logon script.

The aim of the project is to study various constructions of the " minimal " representations of the classical groups, called irreducible.

Therefore, differences in the " strength " of a superordinate category of structurally isomorphic constructions will only be found in their semantic cohesion.

Many people have found it a lot easier to admire the abstract steel constructions which marked his greatest wrench from the past.

The approach is, as we have seen, often guarded by additional constructions; the fact that the door and window face south is another argument in favour of this theory, and the access from one part of the interior to another is sometimes purposely rendered difficult by a sudden vertical rise of 5 or 6 ft.

His style is clear, direct and remarkably free from cumbrous Latin constructions; he employed, whenever he could, the pithy and homely sayings of the peasants, and is not reluctant to point his moral with a rough humour.

It deals, according to Mill, with arbitrary and imaginary constructions.

The more modern constructions of the Colonia Juarez and other new residence districts are more attractive and pretentious in appearance, but are less solidly built.

All the great prose writers of France could not fail to be influenced by the racy phrase, the quaint and picturesque vocabulary, and the unconstrained constructions of Montaigne.

The archaeological researches of the past fifty years have shown that such artificial constructions in lakes were used as defensive dwellings by the Celtic people from an early period to medieval times (see Crannog).

We can also simulate sun paths to determine the shading effects created by proposed or existing constructions.

She can use quite elaborate constructions as well as simple short sentences for variety and effect (' The church ').

They can be installed on most subfloor constructions, such as wood, plaster & concrete.

There are dozens of ambiguous statements in Wrightâs works that are quite susceptible to uncharitable constructions.

There are several different kinds of coil constructions.

The International Pop-up Gallery features a combination of traditional pop-up constructions and origamic architecture from around the world.

Two main glass constructions are single- and double-paned windows.

More environmentally conscious buyers may need to hunt around for ecologically-minded constructions that boast non-toxic materials.

There are two types of baffle box constructions.

Most of Hamilton Beach's food processors feature similar constructions.

They are basic constructions that generally will make sense to the French language learner.

By the year 1878 there were four parallel lines in the city of New York, and constructions of the same character had already been projected in Brooklyn and Chicago and, with certain modifications of details, in Berlin.

Many of the solutions are most ingenious, and some of the constructions of considerable practical importance.

This consideration should be carefully, remembered in the future by the planter who may require an evaporator and by the engineer who may be called upon to design or construct it, and more especially by a constructor without practical experience of the working of his constructions.

The nymphaea of the Roman period were borrowed from the constructions of the Hellenistic east.

Contrivances of the most diverse constructions have been employed.

This class of burner forms a basis on which all the later constructions of burner have been founded, but had the drawback that if the flame was turned low, insufficient air to prevent carbonization of the burner tips was drawn in, owing to the reduced flow of gas.

Similar constructions have been described by travellers, among the Dyaks of Borneo, in Celebes, in the Caroline Islands, on the Gold Coast of Africa, and in other places.

They are most abundant in the plains of northern Italy traversed by the Po and its tributaries, though similar constructions have been found in Hungary in the valley of the Theiss.

Confirmatory evidence of this is to be found, not only in the character of their constructions, but in the circumstance that a tribe closely akin to the Mayas (the Huastecos) still occupies a retired mountain valley of Vera Cruz, entirely separated from their kinsmen of the south, and that a dialect of the Maya language is still spoken in northern Vera Cruz.

This device was never remote from the constructions of writers for whom the teaching of Spinoza and Leibnitz was an integral part of their intellectual equipment, Other modes of correlation, however, find favour also, and in some variety.