Maps of the 16th and 17th centuries often show Cambaluc in an imaginary region to the north of China, a part of the misconception that has prevailed regarding Cathay.
As a typical instance we may take the chapter on the ant-lion - not the insect, but an imaginary creature suggested by Job.
Mademoiselle Bourienne walked up and down the conservatory for a long time that evening, vainly expecting someone, now smiling at someone, now working herself up to tears with the imaginary words of her pauvre mere rebuking her for her fall.
Its provisions, real and imaginary, formed the standard towards which Englishmen must strive.
Kant's point is ignored, that deductions from these " imaginary " figures apply to the " real " world of experience.
THE] were practically powerless, the more so as their political activity consisted mainly in " building theories for an imaginary world."
The whole story was an imaginary embroidery of the facts that barnacles attach themselves to submerged timber and that a species of goose is known as the bernicle goose.
Would give negative, surd or imaginary values; Diophantus then traces how each element of the equation has arisen, and formulates the auxiliary problem of determining how the assumptions must be corrected so as to lead to an equation (in place of the "impossible" one) which can be solved rationally.
Expressions of the form b1,1 - I and a-}-b A l - I, where a and b are real numbers, are then described as imaginary and complex numbers respectively; the former being a particular case of the latter.
This telegram might have exercised the most prejudicial influence on the course of the battle had not Ladmirault (4th Corps), nearer to the seat of the imaginary danger, taken upon himself to disregard the warning transmitted to him by headquarters.
Its adoption by the languages of Europe cannot apparently be traced farther back than the 4th century of our era, at which date it was employed to designate an imaginary animal living on the banks of the Euphrates.
In the case of plane figures, the congruence is tested by an imaginary superposition of one figure on the other; but this may more simply be regarded as the superposition, on either figure, of the image of the other figure on a contiguous plane.
The purport, then, of ablutions is to remove, not dust and dirt, but the - to us imaginary - stains contracted by contact with the dead, with childbirth, with menstruous women, with murder whether wilful or involuntary, with almost any form of bloodshed, with persons of inferior caste, with dead animal refuse, e.g.
He sees insoluble contradictions in every mode of conceiving God as real, yet he advocates religious belief, though the object of that belief have but an abstract or imaginary existence.
The settlements were called respectively Oster Bygd (or eastern settlement) and Vester (western) Bygd, both being now known to be on the south and west coast (in the districts of Julianehaab and Godthaab respectively), though for long the view was persistently held that the first was on the east coast, and numerous expeditions have been sent in search of these " lost colonies " and their imaginary survivors.
They added "that the public at large have only to know that their rights are imaginary to induce them also to be content with the extant system under which permission is very freely granted by owners of fisheries to the public for angling on the more frequented parts of the Thames."
A line of force may be defined as an imaginary line so drawn that its direction at every point of its course coincides with the direction of the magnetic force at that point.
The progress of analytical geometry led to a geometrical interpretation both of negative and also of imaginary quantities; and when a " meaning " or, more properly, an interpretation, had thus been found for the symbols in question, a reconsideration of the old algebraic problem became inevitable, and the true solution, now so obvious, was eventually obtained.
Clearer ideas of imaginary quantities and the " irreducible case " were subsequently published by Bombelli, in a work of which the dedication is dated 1572, though the book was not published until 1579.
The geometrical interpretation of imaginary quantities had a far-reaching influence on the development of symbolic algebras.
At other parts of the field the effect is the same, in accordance with the principle known as Babinet's, whether the imaginary screen in front of the object-glass is generally transparent but studded with a number of opaque circular disks, or is generally opaque but perforated with corresponding apertures.
It is an imaginary history of the patriarchs and their descendants.
The battle of Langensalza (June 27th) showed that the risks Moltke deliberately accepted when he transferred so many of the western troops to the Bohemian frontier were by no means imaginary, for v.
It concludes with an imaginary vision of a beautiful world of spirits who have stripped off the fetters of earthly cares and sorrows and revel in the pure light of divine wisdom and love.
A-, privative, and ywvia, an angle), the term given to the imaginary lines on the earth's surface connecting points at which the magnetic needle points to the geographical north and south.
Thenceforward, while never possessing or abusing the insolence of health, he could say " few persons have been more exempt from real or imaginary ills."
In the following year Webster delivered his oration in commemoration of the second and third presidents of the United States - John Adams and Thomas Jefferson - who died on the 4th of July 1826; it is particularly remarkable for Adams's imaginary reply in the Continental 'Congress to the arguments against a Declaration of Independence, beginning with the familiar quotation: "Sink or swim, live or die, survive or perish, I gave my hand and my heart to this vote."
Jokai belong Arpád Kupa (A napszdmosok, " The Labourers "; Kepselt kirdlyok, " Imaginary Kings "); Robert Tabori (Nagy jdtek, " Great Game "; A negyveneves ferfiu, " The Man at Forty "); and Julius Werner (Kendi Imre hdzassdga, " The Wedding of Emericus Kendi "; Olga; Megvirrad meg valaha, " Dawn will come in the End ").
The treatment of equations of the second and higher degrees introduces imaginary and complex numbers, the theory of which is a special subject.
This led to a prolonged controversy on the nature of negative and imaginary quantities, which was ultimately settled in a very curious way.
(6) The least admissible value of p is that which makes the roots equal of this quadratic in µ, and then ICI s ec 0,, u= z - p (7) the roots would be imaginary for a value of p smaller than given by Cip 2 - 4(c 2 -c i)c2C 2 u 2 =o, (8) p2 = 4(c 2 -c l)cl C2.