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

10By 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.

11This 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.

11This 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.

11And 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.

00These figures include not only the categories of income and expenditure proper, but also those known as movement of capital, railway constructions and part ite di giro, which do not constitute real income and expenditure.i Considering only income and expenditure proper, the approximate totals are:

00In the course of constructions for surfaces to reflect to one and the same point (1) all rays in whatever direction passing through another point, (2) a set of parallel rays, Anthemius assumes a property of an ellipse not found in Apollonius (the equality of the angles subtended at a.

00To 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.

00(a) Hebrew constructions and expressions are to be found in every page.

00They 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.

00LORENZO MASCHERONI (1750-1800), Italian geometer, was professor of mathematics at the university of Pavia, and published a variety of mathematical works, the best known of which is his Geometria del compasso (Pavia, 1797), a collection of geometrical constructions in which the use of the circle alone is postulated.

00Many of the solutions are most ingenious, and some of the constructions of considerable practical importance.

00If ABCD is a tetrahedron of reference, any point P in space is determined by an equation of the form (a+13+ - y+5) P = aA+sB +yC +SD: a, a, y, b are, in fact, equivalent to a set of homogeneous coordinates of P. For constructions in a fixed plane three points of reference are sufficient.

00He improved the methods for solving equations, and devised geometrical constructions with the aid of the conic sections.

00So 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.

00After 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.

002 Manicheans, Bogomils, Cathars and Paulicians for like reasons denied the name of church to material constructions of wood and stone.

00thick, must represent a period of about 3000 years, more especially as older constructions had to be levelled before the pavement was laid.

00This 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.

00The nymphaea of the Roman period were borrowed from the constructions of the Hellenistic east.

00Contrivances of the most diverse constructions have been employed.

00This 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.

00Similar 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.

00They 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.

00Some 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.

00Desor, Les Palafittes ou constructions lacustres du lac de Neuchatel (Paris, 1865); E.

00Perrin, Etude prehistorique sur la Savoie specialement a l'époque lacustre (Les Palafittes du lac de Bourget, Paris, 1870); Ernest Chantre, Les Palafittes ou constructions lacustres du lac de Paladru (Chambery, 1871); Bartolomeo Gastaldi, Lake Habitations and prehistoric Remains in the Turbaries and Marl-beds of Northern and Central Italy, translated by C. H.

00Overhead railways are virtually continuous bridge constructions, and much attention has been given to a study of the special conditions appertaining to that case.

00The 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.

00By 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.

00Confirmatory 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.

00But 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.

00The tower resembles similar constructions found beside Irish churches of the 7th and 8th centuries and has walls 3 ft.

00Amongst 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).

00that the picture of the ideal king claimed a place in such constructions.

00So 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.

00Similar 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.

00The 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.

00- Geometrical constructions of the parabola are to be found in T.

00Descartes used the curve to solve sextic equations by determining its intersections with a circle; mechanical constructions were given by Descartes (Geometry, lib.

00The following is a list of the best timbers for different situations: for general construction, spruce and pine of the different varieties; for heavy constructions, pitch pine, oak (preferably of English growth), teak, jarrah; for constructions immersed in water, Baltic pine, elm, oak, teak, jarrah; for very dry situations, spruce, pines, mahogany, teak, birch, sycamore.

00Even these had been preceded by earlier Pythagorean constructions envisaging the divine life in divine triangles.

00At 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.

00To 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.

00Partly razing the constructions of his predecessors, he erected a terrace of unbaked bricks, some 40 ft.

00It is worthy of note that prison architecture in the United States misses many of the gloomy features common to such constructions.

00His 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.

00Swedenborg 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.

00One 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.

00The acceleration of a second point, usually taken at the centre of the crosshead pin, can be found by the principles of 82, but several special geometrical constructions have been devised for this purpose, notably the construction of Klein,i discovered also independently by Kirsch.i But probably the most convenient is the construction due to G.

00Klein, New Constructions of the Force of Inertia of Connecting Rods and Couplers and Constructions of the Pressures on their Pins, Journ.

00Homer uses no constructions loosely or without corresponding differences of meaning.

00Edwards, Differential Calculus, and for geometrical constructions see T.

00- Geometrical constructions relating to the curves above described are to be found in T.

00With our present knowledge of such constructions, their date cannot certainly be determined.

00With 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.

00The earlier Buddhist constructions have proved more durable than the Mahommedan buildings.

00The second class of altars, called (3wyoi by the Greeks and altaria by the Romans, appears to have originated in temporary constructions such as heaps of earth, turf or stone, made for kindling a sacrificial fire as occasion required.

00The 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.

00This 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.

00(57 0 -535 B.C.) is said to have been found at Philae, and it is possible that there were still older buildings which have been swallowed up in later constructions.

00The 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.

00But the Trinity and the Hypostatic Union are vast speculative constructions reared upon slender biblical data.

00We 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.

00The principle of involution solves such constructions as: given four tangents and one point, three tangents and two points, &c. If a tangent and its point of contact be given, it is only necessary to remember that a double point on the curve is given.

00Of practical importance are the following constructions: - (I) Given the axes; (2) given the major axis and the foci; (3) given the focus, eccentricity and directrix; (4) to construct an ellipse (approximately) by means of circular arcs.

00(I) If the axes be given, we may avail ourselves of several constructions.

00His criticisms are worth more than his constructions; indeed for exactness and penetration of thought he is quite on a level with Hume and Kant.

00This property is true for all conics, and it served as the basis of most of the constructions and propositions given by Apollonius.

00Geometrical constructions are treated in T.

00When well made such constructions are almost free from spherical aberration, and the chromatic errors are very small.

00Very different constructions are in use.

00The definition is better according as the chromatic and spherical aberrations are removed; there always remains in even the best constructions some slight aberration.

00In 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.

00In 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.

00It 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?

00quantitative constructions, must be true of the objects making up our sense-experience.

00Puddling 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.

00The constructions include an adder, a sliding block memory, a memory cell and many more fascinating parts.

00The phenomenon of root allomorphy is characterized by the use of different allomorphs of the same root in various morphosyntactic constructions.

00And yet these oppositions do not seem to be purely analytical constructions.

00All representations of the past are constructions (painstakingly assembled?

00More recently, I have investigated conditional constructions in the early attestations of these languages.

00With more delicate constructions, we employ sponges and soft bristled brushes to gently groom the face fiber and allow a gentle cleaning action.

00clinker constructions faced with old wooden sleepers along the edge face of the platform.

00In order to find out exactly what constructions are used in the text, I made concordances.

00EndIf constructions ̃ MapNetworkDrive already connected This is what I call a busy logon script.

00intransitive sentences with independent adposition constructions, both grammatical and ungrammatical (note 3 ).

00intransitive constructions the clitic must be bound to the adposition.

00The aim of the project is to study various constructions of the " minimal " representations of the classical groups, called irreducible.

00Therefore, differences in the " strength " of a superordinate category of structurally isomorphic constructions will only be found in their semantic cohesion.

00parenthesiswing pairs of indexes correspond to constructions in parentheses in the pattern.

00shading effects created by proposed or existing constructions.

00simple sentenceuite elaborate constructions as well as simple short sentences for variety and effect (' The church ' ).

00subfloor constructions, such as wood, plaster & concrete.

00uncharitable constructions.

00ungrammatical constructions: My Jim is name Name is my Jim and so on.

00Many people have found it a lot easier to admire the abstract steel constructions which marked his greatest wrench from the past.

00The 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.

00And 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.

00These figures include not only the categories of income and expenditure proper, but also those known as movement of capital, railway constructions and part ite di giro, which do not constitute real income and expenditure.i Considering only income and expenditure proper, the approximate totals are:

00His 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.

00It deals, according to Mill, with arbitrary and imaginary constructions.

00(3) Apologists maintain that Jesus " claimed " Messiahship. There are speculative constructions of gospel history which eliminate that claim; and no doubt apologetics could - with more or less difficulty - restate its position in a changed form if the paradox of to-day became accepted as historical fact to-morrow.

00By 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.

00In the course of constructions for surfaces to reflect to one and the same point (1) all rays in whatever direction passing through another point, (2) a set of parallel rays, Anthemius assumes a property of an ellipse not found in Apollonius (the equality of the angles subtended at a.

00To 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.

00(a) Hebrew constructions and expressions are to be found in every page.

00They 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.

00Spiders form at least two kinds of constructions - snares for the capture of prey and nests for the preservation of the young.

00LORENZO MASCHERONI (1750-1800), Italian geometer, was professor of mathematics at the university of Pavia, and published a variety of mathematical works, the best known of which is his Geometria del compasso (Pavia, 1797), a collection of geometrical constructions in which the use of the circle alone is postulated.

00Many of the solutions are most ingenious, and some of the constructions of considerable practical importance.

00If ABCD is a tetrahedron of reference, any point P in space is determined by an equation of the form (a+13+ - y+5) P = aA+sB +yC +SD: a, a, y, b are, in fact, equivalent to a set of homogeneous coordinates of P. For constructions in a fixed plane three points of reference are sufficient.

00He improved the methods for solving equations, and devised geometrical constructions with the aid of the conic sections.

00So 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.

00After 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.

002 Manicheans, Bogomils, Cathars and Paulicians for like reasons denied the name of church to material constructions of wood and stone.

00thick, must represent a period of about 3000 years, more especially as older constructions had to be levelled before the pavement was laid.

00This 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.

00- In laboratory practice use is made of a fairly constant type of apparatus, only trifling modifications being generally necessary to adapt the apparatus for any distillation or fractionation; in technology, on the other hand, many questions have to be considered which generally demand the adoption of special constructions for the economic distillation of different substances.

00The nymphaea of the Roman period were borrowed from the constructions of the Hellenistic east.

00For the JinkOshotO-ki, by its strong advocacy of the mikados administrative rights as against the ustirpations of military feudalism, may be said to have sowed the seeds of Japan~s modern polity; and the Taihei-ki, by its erudite diction, skilful rhetoric, simplification of old grammatical constructions and copious interpolation of Chinese words, furnished a model for many imitators and laid the foundations of Japans 19th-century style.

00Contrivances of the most diverse constructions have been employed.

00This 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.

00The more modern constructions of the Colonia Juarez and other new residence districts are more attractive and pretentious in appearance, but are less solidly built.

00All 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.

00Similar 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.

00The 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).

00They 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.

00Some 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.

00Desor, Les Palafittes ou constructions lacustres du lac de Neuchatel (Paris, 1865); E.

00Perrin, Etude prehistorique sur la Savoie specialement a l'Ã©poque lacustre (Les Palafittes du lac de Bourget, Paris, 1870); Ernest Chantre, Les Palafittes ou constructions lacustres du lac de Paladru (Chambery, 1871); Bartolomeo Gastaldi, Lake Habitations and prehistoric Remains in the Turbaries and Marl-beds of Northern and Central Italy, translated by C. H.

00Overhead railways are virtually continuous bridge constructions, and much attention has been given to a study of the special conditions appertaining to that case.

00The 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.

00By 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.

00Confirmatory 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.

00But 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.

00other words, by a non-Euclidean construction he trisected the angle AOC, for it is readily seen that, since FD' = FO = OC, the angle FOB = 2 AOC. 6 This couplet of constructions is as important from the calculator's point of view as it is interesting geometrically.

00The tower resembles similar constructions found beside Irish churches of the 7th and 8th centuries and has walls 3 ft.

00Amongst 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).

00that the picture of the ideal king claimed a place in such constructions.

00So 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.

00Similar 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.

00The 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.

00- Geometrical constructions of the parabola are to be found in T.

00Descartes used the curve to solve sextic equations by determining its intersections with a circle; mechanical constructions were given by Descartes (Geometry, lib.

00The following is a list of the best timbers for different situations: for general construction, spruce and pine of the different varieties; for heavy constructions, pitch pine, oak (preferably of English growth), teak, jarrah; for constructions immersed in water, Baltic pine, elm, oak, teak, jarrah; for very dry situations, spruce, pines, mahogany, teak, birch, sycamore.

00This aqueduct still exists, and is one of the most remarkable constructions in Greece (see AQUEDUCT: Greek).

00Even these had been preceded by earlier Pythagorean constructions envisaging the divine life in divine triangles.

00At 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.

00To 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.

00Partly razing the constructions of his predecessors, he erected a terrace of unbaked bricks, some 40 ft.

00It is worthy of note that prison architecture in the United States misses many of the gloomy features common to such constructions.

00His 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.

00(A.McA.) 2 Essai sur une maniere de representer les Quantites Imaginaires dans les Constructions Geometriques.

00Swedenborg 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.

00One 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.

00The acceleration of a second point, usually taken at the centre of the crosshead pin, can be found by the principles of 82, but several special geometrical constructions have been devised for this purpose, notably the construction of Klein,i discovered also independently by Kirsch.i But probably the most convenient is the construction due to G.

00Klein, New Constructions of the Force of Inertia of Connecting Rods and Couplers and Constructions of the Pressures on their Pins, Journ.

00Homer uses no constructions loosely or without corresponding differences of meaning.

00Very little but its foundations was spared by later builders, and there is now no certain evidence of its architectural character; but it is very probable that it was the early temple in which the Ionic order is said to have been first used, after the colonists had made use of Doric in their earlier constructions (e.g.

00Edwards, Differential Calculus, and for geometrical constructions see T.

00- Geometrical constructions relating to the curves above described are to be found in T.

00With our present knowledge of such constructions, their date cannot certainly be determined.

00With 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.

00The earlier Buddhist constructions have proved more durable than the Mahommedan buildings.

00The second class of altars, called (3wyoi by the Greeks and altaria by the Romans, appears to have originated in temporary constructions such as heaps of earth, turf or stone, made for kindling a sacrificial fire as occasion required.

00The 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.

00This 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.

00(57 0 -535 B.C.) is said to have been found at Philae, and it is possible that there were still older buildings which have been swallowed up in later constructions.

00The 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.

00But the Trinity and the Hypostatic Union are vast speculative constructions reared upon slender biblical data.

00We 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.

00The principle of involution solves such constructions as: given four tangents and one point, three tangents and two points, &c. If a tangent and its point of contact be given, it is only necessary to remember that a double point on the curve is given.

00Of practical importance are the following constructions: - (I) Given the axes; (2) given the major axis and the foci; (3) given the focus, eccentricity and directrix; (4) to construct an ellipse (approximately) by means of circular arcs.

00(I) If the axes be given, we may avail ourselves of several constructions.

00His criticisms are worth more than his constructions; indeed for exactness and penetration of thought he is quite on a level with Hume and Kant.

00This property is true for all conics, and it served as the basis of most of the constructions and propositions given by Apollonius.

00Geometrical constructions are treated in T.

00When well made such constructions are almost free from spherical aberration, and the chromatic errors are very small.

00Very different constructions are in use.

00The definition is better according as the chromatic and spherical aberrations are removed; there always remains in even the best constructions some slight aberration.

00In 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.

00In 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.

00It 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?

00quantitative constructions, must be true of the objects making up our sense-experience.

00Puddling 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.

00We can also simulate sun paths to determine the shading effects created by proposed or existing constructions.

00She can use quite elaborate constructions as well as simple short sentences for variety and effect (' The church ').

00They can be installed on most subfloor constructions, such as wood, plaster & concrete.

00There are dozens of ambiguous statements in WrightÃ¢s works that are quite susceptible to uncharitable constructions.

00However, a number of rearrangements result in ungrammatical constructions: My Jim is name Name is my Jim and so on.

00Many people have found it a lot easier to admire the abstract steel constructions which marked his greatest wrench from the past.

00There are several different kinds of coil constructions.

00The International Pop-up Gallery features a combination of traditional pop-up constructions and origamic architecture from around the world.

00Two main glass constructions are single- and double-paned windows.

00More environmentally conscious buyers may need to hunt around for ecologically-minded constructions that boast non-toxic materials.

00There are two types of baffle box constructions.

00Most of Hamilton Beach's food processors feature similar constructions.

00They are basic constructions that generally will make sense to the French language learner.

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