eller1 (eler)

A dialectal form of elder2. eller2 (el'èr), n. A dialectal form of alder1. Ellerian (e-lē'ri-an), n. A member of a sect of German Millenarians of the eighteenth century, founded by Elias Eller (died 1750). The Ellerians expected the Me iah to be born again of the wife of their leader, whose profe ed revelations they ac IMG:content-0333.png:[blocks in formation] different places on the line AD, forms an ellipse, [The name ellipse in its Greek form was given to the curve, which had been previously called the section of the acute-angled by A poll on i us of Perga, called by the Greeks "the great geometer." The participle έλλειπων, "falling short," had long been technically applied to a rectangle one of whose sides coincides with a part of a given line (see Euclid, VI. 27). 8ο παραβάλλειν and ὑπερβάλλειν ( Euclid, VI. 28, 29) were said of a rectangle whose side extends just as far and overlaps respectively the extremity of a given line. A poll on i us first defined the conic sections by plane constructions, using the lat us rectum and lat us trans ver sum (transverse axis), as above. The ellipse was so called by him because, since the point L lies between A and D, the rectangle ALHG "falls short" of the lat us rectum AB. In the case of the hyperbola L lies either to the left of A or to the right of D, and the rectangle ALHG "overlaps" the lat us rectum. In the case of the parabola there is no lat us trans ver sum, but the line BK extends to infinity, and the rectangle equal to the square of the ordinate has the lat us rectum for one side.] - Cubical ellipse. See cub i cal. -Focal ellipse. See focal. - Infinite ellipse. Same as elliptois.-Logarithmic ellipse, the section of an el liptic cylinder by a paraboloid. Booth, 1852. In horses, oxen, goats, sheep, the pupil of the eye is el liptical , the transverse axis being horizontal. Paley, Nat. Theol., xii. 2. Pertaining to or marked by ellipsis; defective; having a part left out. In all matters they (early writers] affected curt phrases: and it has been observed that even the colloquial style was barbarously elliptical . 1. D'Israeli , Amen. of Lit., II. 352. His [Thucydides's] mode of reasoning is singularly ellip tical ; in reality most consecutive, yet in appearance often incoherent. Macaulay , A then i an Orators. Production and productive are, of course, elliptical expre ions, involving the idea of a something produced; but this something, in common apprehension, I conceive to be, not utility, but wealth. J. S. Mill . 3. In entom., elongate-ovate; more than twice as long as broad, parallel-sided in the middle, and rounded at both ends, but in general more broadly so at the base: applied especially to the abdomen, as in many Hymenoptera.-4. In math., having a pair of characteristic elements imaginary: as, an elliptic involution.Elliptical gearing. See gearing. Elliptic arc, a part of an ellipse. Elliptic chuck. Same as oval chuck (which see, under chuck4 ). - Elliptic compa es, an instrument for describing an ellipse by continued motion. - Elliptic conoid, an ellipsoid. - Elliptic coördinates. See coordinate.-Elliptic epicycloid. See epicycloid. - Elliptic function, a doubly periodic function analogous to a trigonometrical function, and the inverse of an elliptic integral. Elliptic integral, an integral expre ing the length of the arc of an ellipse. Elliptic involution, one which has no real double points. - Elliptic motion, motion on an ellipse so that equal areas are described about one of the foci in equal times. - Elliptic point on a surface, a synclastic point; a point having the indicatrix an ellipse; a point where the principal tangents are imaginary. -Elliptic polarization, in optics. See polarization. Elliptic singularity, an ordinary or ine ential singularity of a function. See singularity. Elliptic space. (a) The space inclosed by an ellipse. (b) See space. -Elliptic spindle, a surface generated by the revolution of an elliptic arc about its chord. IMG:content-0334.png:[blocks in formation] Reflection from the surfaces of metals, and of very high refractive substances such as diamond, generally gives at all incidences elliptically polarised light. Tait , Light, § 287. 2. In the manner of or by an ellipsis; with something left out. ellipticity (el-ip-tis'i-ti), n. [ elliptic + -ity .] words, leaving the full form to be understood or completed by the reader or hearer: as, "theme The quality of being elliptic; the degree of heroic virtues I admire," for "the heroic vir- IMG:content-0335.png:[blocks in formation] II. n. A member of the Ellipochoanoida . Ellipochoanoida (eli-po-kō-a-noi'da), n. pl . [NL., λείπειν , omit, fall short: see ellipse ), + χοάνη , α funnel, + -ida .] A group of nautiloid cephalopods whose septal funnels are short, the siphon being completed by means of a more or le porous intervening connective wall: contrasted with Holochoanoida . A. Hyatt , Proc. Bost. Soc. Nat. Hist., XXII. 260. ellipochoanoidal (el"i-po-kō-a-noidal), a. Same as ellipochoanoid.