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ob

It is, however, more readily ob tained by boiling citraor meso-brompyrotartaric acids with alkalis.

32It is, however, more readily ob tained by boiling citraor meso-brompyrotartaric acids with alkalis.

32It pervades almost the whole of Europe, and in Asia reaches the river Ob.

0028, and the levers are adjusted so that the left-hand one moves a, b, c and punches a row of holes across the paper (group i in the figure), the middle one moves b only and punches a centre hole (2 in the figure), while the right-hand one moves a, b, d, e and punches O p p Oa Oa' Ob Od 0?

00The double river-systems of the Volga and Kama, the Ob and Irtysh, the Angara and Yenisei, the Lena and Vitim on the Arctic slope, and the Amur and Sungari on the Pacific slope, are instances.

00The Finnish races, which in prehistoric times extended from the Ob all over N.

00Chelyabinsk was linked by a transverse line with the middle Urals railway, which connects Perm, the head of navigation in the Volga basin, with Tyumen, the head of navigation on the Ob and Irtysh, passing through Ekaterinburg and other mining centres of the middle Urals.

00The Ob,Yenisei and Lena,which traverse Siberia, are among the largest rivers in the world.

00however, was broken by many journeys, undertaken partly for scientific and partly for ecclesiastical ob j ects.

00According to Mokaddasi (ob.

00Secondly, besides the plagiarist Tudebod, there are the artistic redacteurs of the Gesta, who confess their indebtedness, but plead the bad style of their original - Guibert of Nogent, Balderich of Dol, Robert of Reims (all c. 1120-1130), and Fulco, the author of a Virgilian poem on the Crusades, continued by Gilo (ob.

00Hantzsch (Ber., 1889, 22, p. 1238) succeeded in ob R taining derivatives of o-diketo-R-hexene, which yield R-pentene and aliphatic compounds on decomposition.

00above its mouth in the Ob, in 63° 55' N.

00SAMOYEDES, a tribe of the Ural-Altaic group, scattered in small groups over an immense area, from the Altai mountains down the basins of the Ob and Yenisei, and along the shores of the Arctic ocean from the mouth of the latter river to the White Sea.

00of the governments of Tomsk and Yeniseisk have been much under Tatar influence and appear to be of a different stock; their sub-groups are the Kamasin Tatars, the Kaibals, the Motors, the Beltirs, the Karagasses and the Samoyedes of the middle Ob.

00At first sight they may be mistaken for Ostiaks - especially on the Ob - but they are undoubtedly different.

00The Samoyedes, who now maintain themselves by hunting and fishing on the lower Ob, partly mixed in the S.

00The Yalmal peninsula, where they find great facilities for hunting, is especially venerated by the Ob Ostiak Samoyedes, and there they have one of their chief idols, Khese.

00The Samoyedes on the Ob in Tomsk may number about 7000; they have adopted the Russian manner of life, but have difficulty in.

00size; juice of either of these plants, ob 4, nat.

00OberÃ¶sterreich or Ã–sterreich ob der Enns, " Austria above the river Enns"), an archduchy and crown-land of Austria, bounded N.

00This wide area is naturally subdivided into West Siberia (basins of the Ob and the Irtysh) and East Siberia (the remainder of the region).

00Aral-Caspian depression to the lowlands of the Tobol, Irtysh and Ob, and thence towards the lower parts of the Yenisei and the Lena.

00The three principal rivers - the Ob, the Yenisei, and the Lena - take their rise on the high plateau or in the alpine regions fringing it, and, after descending from the plateau and piercing the alpine regions, flow for many hundreds of miles across the high plains and lowlands before they reach the Arctic, Ocean.

00Examples are the Ob and the Irtysh, the Yenisei and the Angara (itself a double river formed by the Angara and the Lower Tunguzka), the Lena and the Vitim, the Argun and the Shilka, while the Amur in its turn receives a tributary as large as itself - the Sungari.

00It is this Wale ' circumstance that facilitated the rapid invasion of Siberia Wal er l by the Russian Cossacks and hunters; they followed the omm courses of the twin rivers in their advance towards the east, and discovered short portages which permitted them to transfer their boats from the system of the Ob to that of the Yenisei, and from the latter to that of the Lena, a tributary of which - the Aldan - brought them close to the Sea of Okhotsk.

00m.) and the innumerable smaller lakes which surround it being but relatively insignificant remains of the former lacustrine basins; while at the confluence of the Irtysh and the Ob impassable marshes stretch over many thousands of square miles.

00The coast-line has few indentations, the chief being the double gulf of the Ob and the Taz, separated from the Sea of Kara by an elongated peninsula (Samoyede), and from the bay of the Yenisei by another.

00Even the mouths of the Ob, Yenisei, Lena and Kolyma in 70° N.

00In the hill tracts and the marshy depression of the Ob they are unbroken, except by the bald summits of the loftier mountains (goltsy); they have the aspect of agreeable bosquets in the Baraba steppe, and they are thinly scattered through south-eastern Transbaikalia, where the dryness of the Gobi steppe makes its influence appreciably felt.

00Castren characterized Obdorsk (mouth of the Ob) as a true Samoyedic town, although peopled with " Russians."

00Fishing is a valuable source of income on the lower courses of the great rivers, especially the Ob.

00In 1900, one hundred and thirty private and several crown steamers plied on the Ob-Irtysh river system as far as Semipalatinsk on the Irtysh, Biysk on the Ob, and Achinsk on the Chulym.

00It was supposed at that time that this line would form part of the projected trans-Siberian railway; but it was finally decided, in 1885, to give a more southerly direction to the railway and to continue the Moscow-Samara line to Ufa, Zlatoust in the Urals, and Chelyabinsk on the west Siberian prairies, at the head of one of the tributaries of the Ob.

00Agriculturists, tanners, merchants and mollahs (priests) were called from Turkestan, and small principalities sprang up on the Irtysh and the Ob.

00We can eliminate the quantities S l, E2, ï¿½ï¿½ï¿½ In and obtain n relations AbXi = (2B 11 - Ab)'ï¿½k1 +2B21x2+2B31x3+ï¿½ï¿½ï¿½, AbX2 = 2B12x1+ (2B22 - Ab) x2 +2B32x3+..., and from these another equivalent set Abx1 = (2B11 - X1 +2B12X2+2B13X3+ï¿½ï¿½ï¿½, Abx2 = 2B21X1+(2B22 - Ab)X2+2B23X3+ï¿½ï¿½ï¿½, and now writing 2Bii - Ab 2Bik - aii, Ob = aik, Ob we have a transformation which is orthogonal, because EX 2 = Ex2 and the elements aii, a ik are functions of the 2n(n- I) independent quantities b.

00For the second order we may take Ob - I - A, 1 1 +A2, and the adjoint determinant is the same; hence (1 +A2)x1 = (1-A 2)X 1 + 2AX2, (l +A 2)x 2 = - 2AX1 +(1 - A2)X2.

00Two well-defined views in this way prevailed, to which was added a third, according to which the books, though not to be put in the same rank as the canonical scriptures of the Hebrew collection, yet were of value for moral uses and to be read in congregations, - and hence they were called " ecclesiastical " - a designation first found in Rufinus (ob.

00To this list must be added: (I) the Satyricon of Martianus Capella, the greater part of which is a treatise on the seven liberal arts, the fourth book dealing with logic; (2) the De artibus ac disciplinis liberalium literarum of Cassiodorus; (3) the Origines of Isidore of Seville (ob.

00(ob.

00Generally, by making a' = -oo, the line x'A' may be taken as a straight stream line of infinite length, forming an axis of symmetry; and then by duplica tion the result can be ob A tained, with assigned n, a, and b, of the efflux from a symmetrical converging FIG.

00It then proceeds to fix the point of difference in the fact that no agreement had been reached on the question "whether the true body and blood of Christ are corporeally present in the bread and wine" ("Nit vergleicht haben wir uns, ob der war leib and plut Christi leiblich im brot and wein sey").

00Writing to Abel Pouppin (in or about 1547) he complains that Calvin would not return his manuscript, and adds, " mihi ob earn rem moriendum esse certo scio."

00Under the stress of the Protestant attack there arose new methods on the papal side, and their authors were the Spanish Jesuits, Ribeira (ob.

001591) and Alcasar (ob.

00Rinaldo (ob.

00The line of sight Ox, considered horizontal in range table results, may be inclined slightly to the horizon, as in shooting up or down a moderate slope, without appreciable modification of (28) and (29), and y or PM is still drawn vertically to meet OB in M.

00In the 3rd century the conspicuous figure is Origen (ob.

00The Eusebian list only wanted the complete admission of the Apocalypse to be identical with the Athanasian; and Athanasius had one stalwart supporter in Epiphanius (ob.

00Al-yet 'Ir 7 (rOUs E[r]T7 7 v iv pEaw Kouaou Kai iv (rapid 65007 7 v air01S, Kai EUpov 7ravrac p OliovraS Kai obbcva EU pov 6L1fi&,vra lv abTOlc, Kai 7rovEl, lyv)(1 7 pot, iiri Tols viols T4)v civOpc.i rwv, OTL TU(')AOL Ei(rLV T7) Kapni¢ abrW[v] K[ai] ob J3Xi[7rovetv]....

00ob yap 'Ia- n ', Kpvirrbv O ob cPavE[pOv yev170'ETa6 Kai TEBappivov b o[1K iyEpO17vETaL.

00The best book on Celtic fairy lore is still that of the minister of Aberfoyle, the Rev. Mr Kirk (ob.

00Ob.

00Since, however, the ob server is not conscious of his own translatory motion FIG.

00According to Kant, the ob j ective is valid for all consciousnesses; according to Fichte it is valid for one consciousness.

00of the Chulym, a tributary of the Ob, intersects the Siberian railway at Krasnoyarsk, and is joined first by the Kan and then by the Upper (Verkhnyaya), the Stony (Podkamennaya), and the Lower (Nizhnyaya) Tunguzka, all from the right.

00A canal connects the Great Kaz, a tributary of the Yenisei., with the Ket, an affluent of the Ob.

00If all the water be frozen, we have the vapour pressure curve of ice OB; while, if the pressure be raised, so that all the vapour vanishes, we get the curve OC of equilibrium between the pressure and the freezing point of water.

00If, on the other hand, the salt of the cryohydrate fails before the ice the water given by the continued fusion dilutes the solution, and we pass along the curve OB which shows the freezing points of a series of solutions of constantly increasing dilution.

00Almost contemporaneous with this fuero of Leon was that granted to Najera (Naxera) by Sancho el Mayor of Navarre (ob.

00To measure vertical motion, which with the greater number of earthquakes is not appreciable, a fairly steady mass to which a multiplying light-writing index can be attached is ob tamed from a weight carried on a lever held by any form of spring in a horizontal position.

00In the quarrels of Picts and of Scots of Argyll, the Pictish king, Angus MacFergus (ob.

001603) - "Silvano Invicto Sacrum - ob aprum eximiae formae captum, quem multi antecessores praedari non potuerunt."

00Its three divisions are the " subjective mind " (psychology), the " ob jective mind " (philosophic jurisprudence, moral and ° mi philosophy of artt, h religionand philosophy).

00The ob j ect-glass of the telescope is, of course, attached by its cell to the upper end of the telescope tube.

00Thus, if the two forces P,Q be represented by the lines OA, OB, they can be replaced by a single force FIG.

00R represented by the diagonal OC of the parallelogram determined by OA, OB.

00A OA, AN, NH, or OA, OB, OC, in C M the figure.

00Hence if forces P, Q act in OA, OB, the resultant R will pass through C, provided m=P/OA, n=Q/OB;

00CB =OA: OB.

00Thus in the figure the sum of the moments about 0 is P. OAP. OB or P. AB, which is independent of the position of o 0.

00Thus ii AB, BC, CD represent the given loads, in the force-diagram, we construct the sides corresponding to OA, OB, OC, OD in the funicular; we then draw the closing line of the funicular polygon, and a parallel OE to it in the force diagram.

00Draw a parallel through P to meet the sides of the funicular which correspond to OA, OB in the points H, K.

0036, if OA, OB, OC be three mutually perpendicular lines in the solid, we may denote by O the angle which OC makes with a fixed direction OZ, by ~ the azimuth of the plane ZOC measured from some fixed plane through OZ, and by f~ the inclination of the plane COA to the plane ZOC In fig.

00Now suppose that a body receives first a positive rotation a about OA, and secondly a positive rotation e3 about OB; and let A, B be the intersections of these axes with a sphere described about 0 as centre.

00To find the angle of the equivalent rotation, in the actual case, suppose that the second rotation (about OB) brings a point from A to A.

00about OA, OB, OC, respectively, is to leave the body in its original position, provided the circuit ABC is left-handed as seen from 0.

00Thus in the case of fig 36 it may be required to connect, the infinitesimal rotations f, i1, l about OA, OB, OC with the variations of the angular co-ordinates 0, ~, ~.

00OB, (I)

00If 0 is constant the points C, A will in time at come to positions C, A such that CC = sin 0 i~, AA = cos 0 ~, and the angular momentum about OB will become Cn sin 0 ~ A sin 0 ~.

00Equating this to the rate of increase of the angular momentum about OB, investigated as above, we find (C+Ma2+A~ cos e)~~=Mg ~- cot 0, (4)

0036 we see that the angular velocities p, q, r of the moving lines, OA, OB, OC about their instantaneous positions are p=Osin4,sin0cos4,~,q=cos4,+sin0sin4,i~,~

00If OA, OB, OC be principal axes of inertia of a solid, and if A, B, C denote the corresponding moments of inertia, the kinetic energy is given by 2TA(~ sin 4,sin 0 cos 44~)2+B Ce cos 4,+sin0 sin$)i +C (~+cos0~)2.

0093) be a fixed cone, OA its axis, Obb a cone rolling on it, OB

00Let -y denote the total angular velocity of the rotation of the cone B about the instantaneous axis, $ its angular velocity about the axis OB relatively to the plane AOB, and a the angular velocity with which the plane AOB turns round the axis OA.

00Solution.In OT take any point E, from which draw EC paralle~ to OA, and ED parallel to OB, so as to construct the parallelograre OCED.

00From E draw EH perpendicular to OB, and EK to OA.

00Then Ob is the velocity of the point b in magnitude and direction, and cb is the tangential velocity of B relatively to C. Moreover, whatever be the actual magnitudes of the velocities, the instantaneous velocity ratio of the points C and B is given by the ratio Oc/Ob.

00131 AO represents an upright axis or spindle; B a weightcalled a bob, suspended by rod OB from a horizontal axis at 0, carried by the vertical axis.

00When the spindle 1 D is at rest the bob hangs close to it; when the spindle rotates, the bob, being made ~ c to revolve round it, diverges until the resultant of the centrifugal force and the weight of the bob is a force acting atO in the direction OB, and then it revolves steadily in a circle.

00Revolving pendulums are usually constructed with pairs of rods y b and bobs, as OB, Ob, hung at opposite sides of the spindle, that the centrifugal forces exerted at the point 0 may balance A each other.

0049), and set out Ob equal to the acceleration of B and Oh equal to the acceleration of K.

00Then, the crank standing at any angle with the line of stroke, draw LP at right angles to the connecting rod, PN at right angles to the line of stroke OB and NA at right angles to the connecting rod; then AO is the acceleration of the point B to the scale on which KO represents the acceleration of the point K.

00The story of their fate is not entered under 21st October in the martyrology of Bede (ob.

00c. 735), of Ado (c. 858), of Usuard (ante 877), Notker Balbulus (896) or Hrabanus Maurus (845); but a 9th-century life of St Cunibert (ob.

00Towards the beginning of the 12th century Sigebert of Gembloux (ob.

00This art was also practised by Bernward, artist-bishop of Hildesheim (ob.

00Subsequently Edom is execrated for revengeful attacks upon the Jews, and its speedy destruction is foretold; but the passages appear to be much later than the disaster of 587 B.C., and may even imply conditions after the restoration (Ob.

00It was compounded by More (q.v.) from the Greek ob, not, and 7-inros, a place, meaning therefore a place which has no real existence, an imaginary country.

00It forms the subject of a homily of Jacob of Sarug (ob.

00The name Ala-tau also enters into the designation of (6), a range between the upper Yenisei and the upper Ob, in the government of Tomsk, namely, the Kuznetsk Ala-tau, forming an outlier of the Altai Mountains, and reaching 6000-7000 ft.

00The Katun and the Biya together form the Ob.

00The Kuznetsk Ala-tau range, on the left bank of the Abakan, runs north-east into the government of Yeniseisk, while a complexus of imperfectly mapped mountains (Chukchut, Salair, Abakan) fills up the country northwards towards the Siberian railway and westwards towards the Ob.

00`3 OB ck ` ryiidyn o C aGig Cyr ` ?

00This is exactly what the ob servations show.

00in Ob.), identified the prophet with the best-known Obadiah of the historical books, the protector of the prophets in the reign of Ahab (1 Kings xviii.).

0019 - Ob.

0010, 14; Joel iii.3 - Ob.

00By testing the beam with the scale-pans attached and equal weights in the pans, and noting carefully the position which it takes up; and then interchanging the scale-pans, &c., and again noting the position which the beam takes up, a correct inference can be drawn as to the causes of error; and if after slightly altering or adjusting the knife-edges and scale-pans in the direction indicated by the experiment, the operation is repeated, any required degree of accuracy may be ob - tained by successive approximations.

00It was presumably at Lerins that Salvian made the acquaintance of Honoratus (ob.

00429), Hilary of Arles (ob.

00449), and Eucherius of Lyons (ob.

00An arc with centre 0 and radius OB forms part of a curve.

00The attempt to solve the apparent incongruity of a perfect union of two complete and distinct natures in one person produced first Apollinarianism, which substituted the divine Logos for the human y ob's or 7rveuµa of Jesus, thereby detracting from the completeness of his humanity; and then Nestorianism, which destroyed the unity of Christ's person by affirming that the divine Logos dwelt in the man Jesus as in a temple, and that the union of the two was in respect of dignity, and furthermore that, inasmuch as the Logos could not have been born, to call Mary 9eororcos, " Godbearer," was absurd and blasphemous.

00de Laudibus Theodori Martyris, c. 2) it is easy to see how the stories of recent martyrs would offer themselves as tempting subjects for the painter, and at the same time be considered to have received from him their best and most permanent expression; that this feeling was widespread is shown in many places by Paulinus of Nola (ob.

00Any time I do a live OB and get through it without a fluff What is your Worst on-air moment?

00It pervades almost the whole of Europe, and in Asia reaches the river Ob.

00The reproductive organs of Rhabdopleura have but seldom been ob served.

00In the dedication of the former he refers to himself as "mihi jam morbis pene confecto," and in the "Admonitio" at the end he speaks of his "infirma valetudo"; while in the latter he says he has been obliged to leave the calculation of the new canon of logarithms to others "ob infirmam corporis nostri valetudinem."

0028, and the levers are adjusted so that the left-hand one moves a, b, c and punches a row of holes across the paper (group i in the figure), the middle one moves b only and punches a centre hole (2 in the figure), while the right-hand one moves a, b, d, e and punches O p p Oa Oa' Ob Od 0?

00The double river-systems of the Volga and Kama, the Ob and Irtysh, the Angara and Yenisei, the Lena and Vitim on the Arctic slope, and the Amur and Sungari on the Pacific slope, are instances.

00The Finnish races, which in prehistoric times extended from the Ob all over N.

00Chelyabinsk was linked by a transverse line with the middle Urals railway, which connects Perm, the head of navigation in the Volga basin, with Tyumen, the head of navigation on the Ob and Irtysh, passing through Ekaterinburg and other mining centres of the middle Urals.

00By far the largest Asiatic river basin is that of the Ob, which exceeds 1,000,000 sq.

00The Ob,Yenisei and Lena,which traverse Siberia, are among the largest rivers in the world.

00however, was broken by many journeys, undertaken partly for scientific and partly for ecclesiastical ob j ects.

00According to Mokaddasi (ob.

00Secondly, besides the plagiarist Tudebod, there are the artistic redacteurs of the Gesta, who confess their indebtedness, but plead the bad style of their original - Guibert of Nogent, Balderich of Dol, Robert of Reims (all c. 1120-1130), and Fulco, the author of a Virgilian poem on the Crusades, continued by Gilo (ob.

00Hantzsch (Ber., 1889, 22, p. 1238) succeeded in ob R taining derivatives of o-diketo-R-hexene, which yield R-pentene and aliphatic compounds on decomposition.

00above its mouth in the Ob, in 63Ã‚° 55' N.

00SAMOYEDES, a tribe of the Ural-Altaic group, scattered in small groups over an immense area, from the Altai mountains down the basins of the Ob and Yenisei, and along the shores of the Arctic ocean from the mouth of the latter river to the White Sea.

00of the governments of Tomsk and Yeniseisk have been much under Tatar influence and appear to be of a different stock; their sub-groups are the Kamasin Tatars, the Kaibals, the Motors, the Beltirs, the Karagasses and the Samoyedes of the middle Ob.

00At first sight they may be mistaken for Ostiaks - especially on the Ob - but they are undoubtedly different.

00The Samoyedes, who now maintain themselves by hunting and fishing on the lower Ob, partly mixed in the S.

00The Yalmal peninsula, where they find great facilities for hunting, is especially venerated by the Ob Ostiak Samoyedes, and there they have one of their chief idols, Khese.

00The Samoyedes on the Ob in Tomsk may number about 7000; they have adopted the Russian manner of life, but have difficulty in.

00size; juice of either of these plants, ob 4, nat.

00OberÃƒ¶sterreich or Ãƒâ€“sterreich ob der Enns, " Austria above the river Enns"), an archduchy and crown-land of Austria, bounded N.

00This wide area is naturally subdivided into West Siberia (basins of the Ob and the Irtysh) and East Siberia (the remainder of the region).

00Aral-Caspian depression to the lowlands of the Tobol, Irtysh and Ob, and thence towards the lower parts of the Yenisei and the Lena.

00The three principal rivers - the Ob, the Yenisei, and the Lena - take their rise on the high plateau or in the alpine regions fringing it, and, after descending from the plateau and piercing the alpine regions, flow for many hundreds of miles across the high plains and lowlands before they reach the Arctic, Ocean.

00Examples are the Ob and the Irtysh, the Yenisei and the Angara (itself a double river formed by the Angara and the Lower Tunguzka), the Lena and the Vitim, the Argun and the Shilka, while the Amur in its turn receives a tributary as large as itself - the Sungari.

00It is this Wale ' circumstance that facilitated the rapid invasion of Siberia Wal er l by the Russian Cossacks and hunters; they followed the omm courses of the twin rivers in their advance towards the east, and discovered short portages which permitted them to transfer their boats from the system of the Ob to that of the Yenisei, and from the latter to that of the Lena, a tributary of which - the Aldan - brought them close to the Sea of Okhotsk.

00m.) and the innumerable smaller lakes which surround it being but relatively insignificant remains of the former lacustrine basins; while at the confluence of the Irtysh and the Ob impassable marshes stretch over many thousands of square miles.

00The coast-line has few indentations, the chief being the double gulf of the Ob and the Taz, separated from the Sea of Kara by an elongated peninsula (Samoyede), and from the bay of the Yenisei by another.

00Even the mouths of the Ob, Yenisei, Lena and Kolyma in 70Ã‚° N.

00In the hill tracts and the marshy depression of the Ob they are unbroken, except by the bald summits of the loftier mountains (goltsy); they have the aspect of agreeable bosquets in the Baraba steppe, and they are thinly scattered through south-eastern Transbaikalia, where the dryness of the Gobi steppe makes its influence appreciably felt.

00Castren characterized Obdorsk (mouth of the Ob) as a true Samoyedic town, although peopled with " Russians."

00Fishing is a valuable source of income on the lower courses of the great rivers, especially the Ob.

00In 1900, one hundred and thirty private and several crown steamers plied on the Ob-Irtysh river system as far as Semipalatinsk on the Irtysh, Biysk on the Ob, and Achinsk on the Chulym.

00It was supposed at that time that this line would form part of the projected trans-Siberian railway; but it was finally decided, in 1885, to give a more southerly direction to the railway and to continue the Moscow-Samara line to Ufa, Zlatoust in the Urals, and Chelyabinsk on the west Siberian prairies, at the head of one of the tributaries of the Ob.

00Agriculturists, tanners, merchants and mollahs (priests) were called from Turkestan, and small principalities sprang up on the Irtysh and the Ob.

00We can eliminate the quantities S l, E2, Ã¯¿½Ã¯¿½Ã¯¿½ In and obtain n relations AbXi = (2B 11 - Ab)'Ã¯¿½k1 +2B21x2+2B31x3+Ã¯¿½Ã¯¿½Ã¯¿½, AbX2 = 2B12x1+ (2B22 - Ab) x2 +2B32x3+..., and from these another equivalent set Abx1 = (2B11 - X1 +2B12X2+2B13X3+Ã¯¿½Ã¯¿½Ã¯¿½, Abx2 = 2B21X1+(2B22 - Ab)X2+2B23X3+Ã¯¿½Ã¯¿½Ã¯¿½, and now writing 2Bii - Ab 2Bik - aii, Ob = aik, Ob we have a transformation which is orthogonal, because EX 2 = Ex2 and the elements aii, a ik are functions of the 2n(n- I) independent quantities b.

00For the second order we may take Ob - I - A, 1 1 +A2, and the adjoint determinant is the same; hence (1 +A2)x1 = (1-A 2)X 1 + 2AX2, (l +A 2)x 2 = - 2AX1 +(1 - A2)X2.

00Two well-defined views in this way prevailed, to which was added a third, according to which the books, though not to be put in the same rank as the canonical scriptures of the Hebrew collection, yet were of value for moral uses and to be read in congregations, - and hence they were called " ecclesiastical " - a designation first found in Rufinus (ob.

00To this list must be added: (I) the Satyricon of Martianus Capella, the greater part of which is a treatise on the seven liberal arts, the fourth book dealing with logic; (2) the De artibus ac disciplinis liberalium literarum of Cassiodorus; (3) the Origines of Isidore of Seville (ob.

00Generally, by making a' = -oo, the line x'A' may be taken as a straight stream line of infinite length, forming an axis of symmetry; and then by duplica tion the result can be ob A tained, with assigned n, a, and b, of the efflux from a symmetrical converging FIG.

00It then proceeds to fix the point of difference in the fact that no agreement had been reached on the question "whether the true body and blood of Christ are corporeally present in the bread and wine" ("Nit vergleicht haben wir uns, ob der war leib and plut Christi leiblich im brot and wein sey").

00Writing to Abel Pouppin (in or about 1547) he complains that Calvin would not return his manuscript, and adds, " mihi ob earn rem moriendum esse certo scio."

00This method of interpretation was pursued to extravagant lengths by other Franciscans and was subsequently 1 The oldest Latin commentary was written by this scholar (ob.

00Under the stress of the Protestant attack there arose new methods on the papal side, and their authors were the Spanish Jesuits, Ribeira (ob.

001591) and Alcasar (ob.

00ob invidiam obstruxerunt" (p. 158).

00The same result will be ob tained with a stationary fork and a movable glass plate; and, if the time occupied by the plate in moving through a given distance can be ascertained and the number of complete undulations exhibited on the plate for that distance, which is evidently the number of vibrations of the fork in that time, is reckoned, we shall have determined the numerical vibration value of the note yielded by the fork.

00Rinaldo (ob.

00I), where the trajectory cuts the line of sight; so that IT is the time to the vertex A, where the shot is flying parallel to OB.

00The line of sight Ox, considered horizontal in range table results, may be inclined slightly to the horizon, as in shooting up or down a moderate slope, without appreciable modification of (28) and (29), and y or PM is still drawn vertically to meet OB in M.

00Denoting the angle of departure and descent, measured in degrees and from the line of sight OB by ¢ and 0, the total deviation in the range OB is (fig.

00In the 3rd century the conspicuous figure is Origen (ob.

00The Eusebian list only wanted the complete admission of the Apocalypse to be identical with the Athanasian; and Athanasius had one stalwart supporter in Epiphanius (ob.

00Al-yet 'Ir 7 (rOUs E[r]T7 7 v iv pEaw Kouaou Kai iv (rapid 65007 7 v air01S, Kai EUpov 7ravrac p OliovraS Kai obbcva EU pov 6L1fi&,vra lv abTOlc, Kai 7rovEl, lyv)(1 7 pot, iiri Tols viols T4)v civOpc.i rwv, OTL TU(')AOL Ei(rLV T7) Kapni¢ abrW[v] K[ai] ob J3Xi[7rovetv]....

00Kai Owµi cal (Trey [abroli vas S TWV robr[wv hKobvp OavhTov ob µ17 yebo-r7rat.

00ob yap 'Ia- n ', Kpvirrbv O ob cPavE[pOv yev170'ETa6 Kai TEBappivov b o[1K iyEpO17vETaL.

00The best book on Celtic fairy lore is still that of the minister of Aberfoyle, the Rev. Mr Kirk (ob.

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.

00Since, however, the ob server is not conscious of his own translatory motion FIG.

00According to Kant, the ob j ective is valid for all consciousnesses; according to Fichte it is valid for one consciousness.

00of the Chulym, a tributary of the Ob, intersects the Siberian railway at Krasnoyarsk, and is joined first by the Kan and then by the Upper (Verkhnyaya), the Stony (Podkamennaya), and the Lower (Nizhnyaya) Tunguzka, all from the right.

00A canal connects the Great Kaz, a tributary of the Yenisei., with the Ket, an affluent of the Ob.

00If all the water be frozen, we have the vapour pressure curve of ice OB; while, if the pressure be raised, so that all the vapour vanishes, we get the curve OC of equilibrium between the pressure and the freezing point of water.

00If, on the other hand, the salt of the cryohydrate fails before the ice the water given by the continued fusion dilutes the solution, and we pass along the curve OB which shows the freezing points of a series of solutions of constantly increasing dilution.

00Almost contemporaneous with this fuero of Leon was that granted to Najera (Naxera) by Sancho el Mayor of Navarre (ob.

00To measure vertical motion, which with the greater number of earthquakes is not appreciable, a fairly steady mass to which a multiplying light-writing index can be attached is ob tamed from a weight carried on a lever held by any form of spring in a horizontal position.

00In the quarrels of Picts and of Scots of Argyll, the Pictish king, Angus MacFergus (ob.

001603) - "Silvano Invicto Sacrum - ob aprum eximiae formae captum, quem multi antecessores praedari non potuerunt."

00Its three divisions are the " subjective mind " (psychology), the " ob jective mind " (philosophic jurisprudence, moral and Ã‚° mi philosophy of artt, h religionand philosophy).

00The ob j ect-glass of the telescope is, of course, attached by its cell to the upper end of the telescope tube.

00Thus, if the two forces P,Q be represented by the lines OA, OB, they can be replaced by a single force FIG.

00R represented by the diagonal OC of the parallelogram determined by OA, OB.

00A OA, AN, NH, or OA, OB, OC, in C M the figure.

00Hence if forces P, Q act in OA, OB, the resultant R will pass through C, provided m=P/OA, n=Q/OB;

00CB =OA: OB.

00Thus in the figure the sum of the moments about 0 is P. OAP. OB or P. AB, which is independent of the position of o 0.

00Thus ii AB, BC, CD represent the given loads, in the force-diagram, we construct the sides corresponding to OA, OB, OC, OD in the funicular; we then draw the closing line of the funicular polygon, and a parallel OE to it in the force diagram.

00Draw a parallel through P to meet the sides of the funicular which correspond to OA, OB in the points H, K.

0036, if OA, OB, OC be three mutually perpendicular lines in the solid, we may denote by O the angle which OC makes with a fixed direction OZ, by ~ the azimuth of the plane ZOC measured from some fixed plane through OZ, and by f~ the inclination of the plane COA to the plane ZOC In fig.

00Now suppose that a body receives first a positive rotation a about OA, and secondly a positive rotation e3 about OB; and let A, B be the intersections of these axes with a sphere described about 0 as centre.

00To find the angle of the equivalent rotation, in the actual case, suppose that the second rotation (about OB) brings a point from A to A.

00about OA, OB, OC, respectively, is to leave the body in its original position, provided the circuit ABC is left-handed as seen from 0.

00Thus in the case of fig 36 it may be required to connect, the infinitesimal rotations f, i1, l about OA, OB, OC with the variations of the angular co-ordinates 0, ~, ~.

00OB, (I)

00If 0 is constant the points C, A will in time at come to positions C, A such that CC = sin 0 i~, AA = cos 0 ~, and the angular momentum about OB will become Cn sin 0 ~ A sin 0 ~.

00Equating this to the rate of increase of the angular momentum about OB, investigated as above, we find (C+Ma2+A~ cos e)~~=Mg ~- cot 0, (4)

0036 we see that the angular velocities p, q, r of the moving lines, OA, OB, OC about their instantaneous positions are p=Osin4,sin0cos4,~,q=cos4,+sin0sin4,i~,~

00If OA, OB, OC be principal axes of inertia of a solid, and if A, B, C denote the corresponding moments of inertia, the kinetic energy is given by 2TA(~ sin 4,sin 0 cos 44~)2+B Ce cos 4,+sin0 sin$)i +C (~+cos0~)2.

0093) be a fixed cone, OA its axis, Obb a cone rolling on it, OB

00Let -y denote the total angular velocity of the rotation of the cone B about the instantaneous axis, $ its angular velocity about the axis OB relatively to the plane AOB, and a the angular velocity with which the plane AOB turns round the axis OA.

00Solution.In OT take any point E, from which draw EC paralle~ to OA, and ED parallel to OB, so as to construct the parallelograre OCED.

00From E draw EH perpendicular to OB, and EK to OA.

00Then Ob is the velocity of the point b in magnitude and direction, and cb is the tangential velocity of B relatively to C. Moreover, whatever be the actual magnitudes of the velocities, the instantaneous velocity ratio of the points C and B is given by the ratio Oc/Ob.

00131 AO represents an upright axis or spindle; B a weightcalled a bob, suspended by rod OB from a horizontal axis at 0, carried by the vertical axis.

00When the spindle 1 D is at rest the bob hangs close to it; when the spindle rotates, the bob, being made ~ c to revolve round it, diverges until the resultant of the centrifugal force and the weight of the bob is a force acting atO in the direction OB, and then it revolves steadily in a circle.

00Revolving pendulums are usually constructed with pairs of rods y b and bobs, as OB, Ob, hung at opposite sides of the spindle, that the centrifugal forces exerted at the point 0 may balance A each other.

0049), and set out Ob equal to the acceleration of B and Oh equal to the acceleration of K.

00Then, the crank standing at any angle with the line of stroke, draw LP at right angles to the connecting rod, PN at right angles to the line of stroke OB and NA at right angles to the connecting rod; then AO is the acceleration of the point B to the scale on which KO represents the acceleration of the point K.

00The story of their fate is not entered under 21st October in the martyrology of Bede (ob.

00c. 735), of Ado (c. 858), of Usuard (ante 877), Notker Balbulus (896) or Hrabanus Maurus (845); but a 9th-century life of St Cunibert (ob.

00Towards the beginning of the 12th century Sigebert of Gembloux (ob.

00This art was also practised by Bernward, artist-bishop of Hildesheim (ob.

00Subsequently Edom is execrated for revengeful attacks upon the Jews, and its speedy destruction is foretold; but the passages appear to be much later than the disaster of 587 B.C., and may even imply conditions after the restoration (Ob.

00It was compounded by More (q.v.) from the Greek ob, not, and 7-inros, a place, meaning therefore a place which has no real existence, an imaginary country.

00It forms the subject of a homily of Jacob of Sarug (ob.

00The name Ala-tau also enters into the designation of (6), a range between the upper Yenisei and the upper Ob, in the government of Tomsk, namely, the Kuznetsk Ala-tau, forming an outlier of the Altai Mountains, and reaching 6000-7000 ft.

00The Katun and the Biya together form the Ob.

00The Kuznetsk Ala-tau range, on the left bank of the Abakan, runs north-east into the government of Yeniseisk, while a complexus of imperfectly mapped mountains (Chukchut, Salair, Abakan) fills up the country northwards towards the Siberian railway and westwards towards the Ob.

00`3 OB ck ` ryiidyn o C aGig Cyr ` ?

00This is exactly what the ob servations show.

00in Ob.), identified the prophet with the best-known Obadiah of the historical books, the protector of the prophets in the reign of Ahab (1 Kings xviii.).

0019 - Ob.

0010, 14; Joel iii.3 - Ob.

00By testing the beam with the scale-pans attached and equal weights in the pans, and noting carefully the position which it takes up; and then interchanging the scale-pans, &c., and again noting the position which the beam takes up, a correct inference can be drawn as to the causes of error; and if after slightly altering or adjusting the knife-edges and scale-pans in the direction indicated by the experiment, the operation is repeated, any required degree of accuracy may be ob - tained by successive approximations.

00It was presumably at Lerins that Salvian made the acquaintance of Honoratus (ob.

00429), Hilary of Arles (ob.

00449), and Eucherius of Lyons (ob.

00An arc with centre 0 and radius OB forms part of a curve.

00The attempt to solve the apparent incongruity of a perfect union of two complete and distinct natures in one person produced first Apollinarianism, which substituted the divine Logos for the human y ob's or 7rveuµa of Jesus, thereby detracting from the completeness of his humanity; and then Nestorianism, which destroyed the unity of Christ's person by affirming that the divine Logos dwelt in the man Jesus as in a temple, and that the union of the two was in respect of dignity, and furthermore that, inasmuch as the Logos could not have been born, to call Mary 9eororcos, " Godbearer," was absurd and blasphemous.

00BARNAUL, a town of Asiatic Russia, government of Tomsk, standing in a plain bounded by offshoots of the Altai Mountains, and on the Barnaulka river, at its confluence with the Ob, in lat.

00de Laudibus Theodori Martyris, c. 2) it is easy to see how the stories of recent martyrs would offer themselves as tempting subjects for the painter, and at the same time be considered to have received from him their best and most permanent expression; that this feeling was widespread is shown in many places by Paulinus of Nola (ob.

00An online pregnancy test will ask some of the same questions your OB health professional would ask.

00Your OB provider will examine you with a pelvic exam, further hCG level tests, and an ultrasound to confirm a viable pregnancy or an ectopic pregnancy.

00OB providers typically recommend waiting until after she has experienced one normal menstrual cycle before attempting to get pregnant again.

00In fact, any advice you receive from even a medical expert should be run by your own OB or midwife before it is implemented.

00

The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.