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circumscribed

The land thus circumscribed extends between the parallels of 46° 40' and 36° 38' N., and between 6° 30' and 18° 30' E.

136A fine though circumscribed group of buildings is that in the heart of the City which includes the Bank of England, the Royal Exchange and the Mansion House.

73The determination of the side of a regular heptagon which can be inscribed or circumscribed to a given circle was reduced to a more complicated equation which was first successfully resolved by Abul Gud.

61You know a student's life is of necessity somewhat circumscribed and narrow and crowds out almost everything that is not in books....

52Circumscribed as my life was in so many ways, I had to look between the covers of books for news of the world that lay outside my own.

41The fourth book deals with the circle in its relations to inscribed and circumscribed triangles, quadrilaterals and regular polygons.

32Its site is somewhat circumscribed, and this and its great bulk renders difficult any real appreciation of its complex outline; but its stately domed campanile, 283 ft.

32The Jews were not, indeed, granted complete citizenship, and their residence and public worship in Vienna and other Austrian cities were circumscribed and even penalized.

33He thus admits that to philosophize is to systematize, but holds that every systematization is narrowly circumscribed, and is therefore to be solved and completed with ever new systematization.

33Occasionally crust-blocks resembling "graben" and "horsts" are circumscribed by folds instead of faults; when this is so they have been called respectively "infolded graben" or "overfolded horsts."

34Side by side with these changes the imperial diet was becoming more useless and unwieldy, and the electors were gaining power, owing partly to the Wahlkapitulation, by which on election they circumscribed the power of each occupant of the imperial throne.

20The red, or Virginia, deer and the grey fox are still found in circumscribed localities; and of the smaller mammals, the squirrel, chipmunk, rabbit, raccoon and opossum are still numerous.

20The two legs of a hyperbolic branch may belong to different asymptotes, and in this case we have the forms which Newton calls inscribed, circumscribed, ambigene, &c.; or they may belong to the same asymptote, and in this case we have the serpentine form, where the branch cuts the asymptote, so as to touch it at its two extremities on opposite sides, or the conchoidal form, where it touches the asymptote on the same side.

20The most notable of these fall within a circumscribed area, and it is therefore necessary to preface their consideration with a statement of the broader characteristic divisions of the metropolis.

22Humayun died by an accident in 1556, leaving but a circumscribed kingdom, surrounded on every side by active foes, to his son Akbar, then a boy of only fourteen years.

22It may here be remembered that of the mammalia man and monkeys alone are capable of convergence, and have a circumscribed macular area.

23The Tunguses (nearly 70,000) occupy as their hunting-grounds an immense region on the high plateau and its slopes to the Amur, but their limits are yearly becoming more and more circumscribed both by Russian gold-diggers and by Yakut settlers.

23circumscribed by race.

10circumscribed halo at high sun.

11However this may be, it is sufficiently remarkable that a small and circumscribed group like the Enteropneusta, which presents such a comparatively uniform plan of composition and of external form, should follow two such diverse methods of development.

00In this article the equations to the more important circles - the circumscribed, inscribed, escribed, self-conjugate--will be given; reference should be made to the article Triangle for the consideration of other circles (nine-point, Brocard, Lemoine, &c.); while in the article Geometry: Analytical, the principles of the different systems are discussed.

00Taking the circumference as intermediate between the perimeters of the inscribed and the circumscribed regular n-gons, he showed that, the radius of the circle being given and the perimeter of some particular circumscribed regular polygon obtainable, the perimeter of the circumscribed regular polygon of double the number of sides could be calculated; that the like was true of the inscribed polygons; and that consequently a means was thus afforded of approximating to the circumference of the circle.

00As a matter of fact, he started with a semiside AB of a circumscribed regular hexagon meeting the circle in B (see fig.

008), joined A and B with 0 the centre, bisected the angle AOB by OD, so that BD became the semi-side of a circumscribed regular 12-gon; then as AB :BO: OA :: I: d 3: 2 he sought an approximation to X 1 3 and found that AB: BO >153:265.

00Next he applied his theorem 4 BO+OA: AB:: OB: BD to calculate BD; from this in turn he calculated the semi-sides of the circumscribed regular 24-gon, 48-gon and 96-gon, and so finally established for the circumscribed regular 96-gon that perimeter: diameter 3+V :I.

00By finding the perimeter of the inscribed and that of the circumscribed regular polygon of 393 216 (i.e.

00The proof of the correctness of the construction is seen to be involved in the following theorem, which serves likewise to throw new light on the subject: - AB being any straight line whatever, and the above construction being made, then AB is the diameter of the circle circumscribed by the square AB CD (self-evident), AB, is the diameter of the circle circumscribed by the regular 8-gon having the same perimeter as the square, AB, is the diameter of the circle circumscribed by the regular 16-gon having the same perimeter as the square, and so on.

00The general theorems which enabled him to do this, after a start had been made, are A2n = 11A„A ' n (Snell's Cyclom.), P 2A„A' n - 2A' „AZ, Gre o A 2 ” - A n +A2n or A' n +A2„ (g r1') where A „, A'„ are the areas of the inscribed and the circumscribed regular n-gons respectively.

00After Ecgfrith's death (20th May 685) Wilfrid was restored to York (much circumscribed), and Ripon (686-687).

00In tangential q, r) co-ordinates the inscribed and circumscribed conics take the forms Xqr+µrp+vpq=o and 1/ X p+ 1 /µ q + V y r = o; these are parabolas when X++'=Ã‚° and V X = 1 / µ 1 / v= o respectively.

00" Given a surface of the second order and a circumscribed conic surface which touches it ...

001806) shown how for any given position of the summit the plane of contact is determined, or reciprocally; say the plane XY is determined when the point P is given, or reciprocally; and it is noticed that when P is situate in the interior of the surface the plane XY does not cut the surface; that is, we have a real plane XY intersecting the surface in the imaginary curve of contact of the imaginary circumscribed cone having for its summit a given real point P inside the surface.

00There is no such presence of Christ in the Supper as that He is affixed to the bread or included in it or in any way circumscribed; but whatever can express the true and substantial communication of the body and blood of the Lord, which is exhibited to believers under the said symbols of the Supper, is to be received, and that not as perceived by the imagination only or mental intelligence, but as enjoyed for the aliment of the eternal life (bk.

00Mensuration of the Platonic Solids.-The mensuration of the regular polyhedra is readily investigated by the methods of elementary geometry, the property that these solids may be inscribed in and circumscribed to concentric spheres being especially useful.

00They may be more specific or circumscribed, such as a fear of giving speeches or of performing (stage fright).

00Angioedema-Patches of circumscribed swelling involving the skin and its subcutaneous layers, the mucous membranes, and sometimes the organs frequently caused by an allergic reaction to drugs or food.

00It became now detached from the limitations of nationalism and local association with which it had been hitherto circumscribed.

01Two chambers were established, the one formed of nobles and the other of elected representatives; but although they were authorized to control the finances, their power with regard to legislation was very circumscribed.

01In 882 he became sole king owing to his brother's death, but the kingdom was in a very deplorable condition, and his power was very circumscribed.

01e~tddingtons real work was the peace of Amiens (1802), In experimental peace, as the king called it, to see Lf the First Consul could be contented to restrain Liimself within the very wide limits by which his authority in Europe was still circumscribed.

01circumscribed empirical phenomenon is a not so difficult undertaking.

01circumscribed space in front of the house is occasionally used for refractory patients.

01circumscribed by laws against incitement to murder and violence.

01circumscribed by the causal body.

01circumscribed by the nature of facts in reality including their relationships and implications.

01With two exceptions, such authority was usually narrowly circumscribed.

01If the question put is tightly circumscribed, the adjudicator, as first happened here, would be right to debar new arguments.

01To con each scope is strictly circumscribed to the facts.

01Today the powers of the majority of nations are severely circumscribed by the need to attract inward investment.

01Now, this is heavily circumscribed, either in the 16th century by Anglicans or the 17th century by Puritans.

01Even for adult heads of households, freedom was carefully circumscribed.

01An " episode " is something unique and circumscribed, not something ephemeral.

01Changing shape of the circumscribed halo with solar altitude.

01nirvana fans, be forewarned: This sensuously entropic elegy is the most elemental and circumscribed of biopics.

01preoccupation with the all-out war on terrorism has circumscribed the global agenda.

01The land thus circumscribed extends between the parallels of 46Ã‚° 40' and 36Ã‚° 38' N., and between 6Ã‚° 30' and 18Ã‚° 30' E.

01As creation involves intention, desire, thought and work, and as these are properties which imply limit and belong to a finite being, and moreover as the imperfect and circumscribed nature of this creation precludes the idea of its being the direct work of the infinite and perfect, the En Soph had to become creative, through the medium of ten Sephiroth or intelligences, which emanated from him like rays proceeding from a luminary.

01Its ten Sephiroth, being farther removed from the En Soph, are of a more limited and circumscribed potency, though the substances they comprise are of the purest nature and without any admixture of matter.

01

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