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▪ I. ordinate, a. and n.|ˈɔːdɪnət|
Also 4–7 -at.
[ad. L. ordināt-us, pa. pple. of ordināre to ordain.]
A. ppl. a. and adj. Now Obs. or rare.
I.
†1.
a. Construed as pa. pple. Ordered, arranged, disposed; ordained, destined, appointed. Obs.
1398Trevisa Barth. De P.R. v. v. (1495) 108 The curtelles or webbes of the eye ben..so ordynat togyders that four ben in the formest partyes. 1509Hawes Past. Pleas. xxxvii. (Percy Soc.) 194 The serpent venimous, Which by sorcery was surely ordinate You for to sle. 1649Jer. Taylor Gt. Exemp. Pref. §34 Taking such proportions of their objects which are ordinate to their end.
II. Construed as adj.
†2. Conformed to order or rule; reduced to order, ordered, regulated; orderly, regular. Obs.
ordinate power (of God), the divine power as exhibited in the order of mundane things. (Opposed to absolute.)
c1400Apol. Loll. 28 Crist, þat is God Almiȝty, & of his absolut power may al þing..ȝet may not of his ordinat power ȝele þe folk for þer ontrowþ. 1455Rolls of Parlt. V. 279/1 An ordinate and a substantiall rule. 1534Whitinton Tullyes Offices i. (1540) 2 With comly gesture..with ordynate eloquence, to make an oracyon. 1668Culpepper & Cole Barthol. Anat. iii. v. 138 The Brain hath sundry Circumvolutions without any Method or Order; the Brainlet hath circular and ordinate ones.
†3. Observant of order, keeping within orderly limits; orderly, regular, moderate, temperate. Obs.
c1374Chaucer Boeth. i. met. iii. 7 (Camb. MS.) Cleer of vertu, sad, and wel ordinat of leuynge. c1386― Merch. T. 40 Ther as a wedded man..Lyueth a lyf blisful and ordinaat. 1483Caxton Gold. Leg. 178/2 He was wel ordynate in hym self. 1563J. Man Musculus' Commonpl. 35 b, Where as men saye, that ordinate charitie beginneth of it self, if it be meante of the charite of God, it is true. 1678R. L'Estrange Seneca's Mor. (1702) 124 His life is Ordinate, fearless, Equal, Secure.
†4. Geom. Of a figure: Having all its sides and angles equal; regular. Obs.
1625N. Carpenter Geog. Del. ii. ii. (1635) 21 An Ordinate figure wee defined to bee that which commeth neerest to an equality of Sides and Angles. 1709V. Mandey Syst. Math., Geom. (1729) 142 In Triangles only the Equilateral is Ordinate or Regular.
†5. Math. ordinate proportion, a proportion or statement of equality of ratios in which the terms are in regular order. ordinate line = B.
1570Billingsley Euclid v. def. 18. 136 This ordinate proportionalitie may be extended as farre as ye list. 1656Hobbes Six Lessons Wks. 1845 VII. 288 The increasing impetus..will be designed by the ordinate lines in the parabola. 1862Todhunter Euclid 280 In 19 he defines ordinate proportion.
6. Entom. Arranged in a row or rows.
1826Kirby & Sp. Entomol. IV. 292 Ordinate. When spots, puncta, &c. are placed in rows. Ibid. 313 Ordinate. When simple eyes are arranged in a certain order.
B. n. Geom.
a. Any one of a series of parallel chords of a conic section, in relation to the diameter which bisects each of them; now usually applied to half the chord (i.e. the line from the curve to the bisecting diameter), originally called the semi-ordinate. Hence,
b. Formerly, a straight line drawn from any point parallel to one of the co-ordinate axes, and meeting the other: see co-ordinate n. 2. (Correlative to abscissa.) In mod. use, the distance of a point from the left-to-right (x) axis measured parallel to the other (y) axis; the y co-ordinate of a point.
The name ordinate, formerly more fully ordinate applicate, is derived from the Latin phrase [linea] ordinate (or ordinatim) applicata, used in the 16th c. Latin translation of Apollonius of Perga.
[1537Apollonii Pergæ Conicorum i. xvi. Definitio 4, Ducta autem per centrum ordinate applicata,..Secunda Diameter vocetur.] 1676Collins in Rigaud Corr. Sci. Men (1841) II. 7 The angle that an ordinate in a known ellipsis makes with either of the axes. 1706Phillips, Ordinate or Ordinate Applicate (in Conick Sections) is a Line drawn at Right Angles to the Axis, (which cuts it into two equal Parts) and reaching from one side of the Section to the other. The Half of this Line is properly the Semi-Ordinate, but is now commonly called the Ordinate. 1706Ditton Fluxions 31 'Tis required to find the relation of the Fluxion of the Ordinate to the Fluxion of the Abscisse. 1726E. Stone New Math. Dict. s.v. Order (transl. Newton 1704), If any Right and Parallel Lines be drawn and terminated on both sides by one and the same Conic-Section, and a Right Line bisecting any two of them, shall bisect all the rest..All the Right Lines so bisected, are called Ordinate Applicates to that Diameter [ordinatim applicatæ ad Diametrum]. 1748Hartley Observ. Man i. iii. 339 The Ordinates of any unknown Curve. 1807Hutton Course Math. II. 95 An Ordinate to any diameter, is a line parallel to its conjugate, or to the tangent at its vertex, and terminated by the diameter and curve. 1855I. Todhunter Treat. Plane Co-ordinate Geom. i. 2 OM is called the abscissa of the point P; and ON, or its equal MP, is called the ordinate of P. 1861Smiles Engineers II. vii. vi. 183 Transverse timbers,..laid across the whole of the ribs, set out to the exact form of the curve by ordinates from the main or longitudinal axis of the ellipsis. 1879Prescott Sp. Telephone 246 We let fall perpendiculars, or, in mathematical language, ordinates to it, on either side. 1880Proc. R. Soc. XXX. 511 The horizontal ordinates give the stress.., the vertical ordinates give the elongation. 1891C. Taylor Elem. Geom. Conics 8 The Principal Ordinate, or briefly the Ordinate, of any point is the perpendicular drawn from it to the axis. 1896Min. Proc. Inst. Civil Engin. CXXVI. 233 The area of the loop, with the magnetizing force as abscissas, and the magnetization as ordinates, represents the energy dissipated. 1948Electronic Engin. XX. 10/1 This apparatus was constructed to produce a trace on a cathode ray tube in which the ordinates were proportional to shutter opening and the abscissa to time. 1951R. M. Garrels Textbk. Geol. 470 In order to graph these changes, it is customary to begin by drawing two lines at right angles to each other. One is usually drawn horizontally (the X axis or abscissa), the other vertically (the Y axis or ordinate). 1971Niles & Haborak Calculus with Analytic Geom. i. 14 The directed distance OM is the x-coordinate or abscissa of point P and is denoted by x. The directed distance ON is the y-coordinate or ordinate of point P and is denoted by y.
▪ II. ordinate, v.|ˈɔːdɪneɪt|
[f. L. ordināt-, ppl. stem of ordināre: cf. prec.]
†1. trans. To appoint authoritatively to any office; spec. to appoint or admit to holy orders; = ordain v. 11. Obs.
1562Winȝet Cert. Tractatis Wks. 1888 I. 15 As the Apostolis ordinatit St. Paule and Barnabas. 1565Jewel Def. Apol. (1611) 568 As for that ye say, Your Bishops be duly Ordinated and Consecrated. 1595Daniel Civ. Wars iv. xxii, Richard..this man did ordinate The heyre apparent to the Crowne and Land. 1597A. M. tr. Guillemeau's Fr. Chirurg. 8/1 Monsr de la Tour, ordinated and chosen gentleman of the kinges chamber of presence.
2. To order, regulate, control, govern, direct. Now rare or Obs.
1595Daniel Civ. Wars i. lxix, He..That best knowes how a Realme to ordinate. 1646Bp. Hall Balm Gilead 113 That over-ruling hand of the Almighty, who ordinates all their motions to his owne holy purposes. 1701Beverley Glory of Grace 24 Even those Great Links, and Branches of Salvation, that are within us,..Are yet so Ordinated, that they are to the Praise of the glory of grace. 1823De Quincey Lett. Yng. Man Wks. 1860 XIV. 86 He did no more than regulate and ordinate the evident nisus and tendency of the popular usage into a severe definition.
3. To institute, establish, ordain, predestine. Now rare or Obs.
1610Bp. Carleton Jurisd. 292 The publike good is peace, whereunto justices and just warres are ordinated. 1660N. Ingelo Bentivolio & Urania i. (1682) 168 The Precepts and Actions of Vertue are..all ordinated to one End. 1850L. Hunt Autobiog. xxxv. (1860) 399 Providence, by the like reasoning, ordinates dreadful revenge and retribution.
4. To place side by side in a series, to co-ordinate.
1882Farrar Early Chr. II. 385 The sentences are ordinated by simple conjunctions, not subordinated to each other by final particles. 1882Hardy Two on Tower I. xii. 208, I have never ordinated two such dissimilar ideas.
5. Statistics and Ecology. To subject to the mathematical operation of ordination (sense 1 c).
1962Ecol. Monogr. XXXII. 137 (heading) Ordinating forest communities by means of environmental scalars and phytosociological indices. 1969E. C. Pielou Introd. Math. Ecol. xx. 255 When we wish to ordinate vegetation by means of a principal components analysis, there are four decisions to make.
Hence ˈordinated ppl. a., ordained.
1652Gaule Magastrom. 152 To an ordinated destiny of an unfortunate end comes in, inordinately, fire, water, a fall, a gun, a sword. |