# Locus Sentence Examples

The

**locus**of these intersections is the quadratrix.People either have an external or internal

**locus**of control.By means of this expression we may trace the

**locus**of a band of given order as b varies.Reading speed improves if a new trained retinal

**locus**(TRL) is established in an area that is more favorable for reading.Similarly any other property might be used as a definition; an ellipse is the

**locus**of a point such that the sum of its distances from two fixed points (the foci) is constant, &c., &c.In Newton's method, two angles of constant magnitude are caused to revolve about their vertices which are fixed in position, in such a manner that the intersection of two limbs moves along a fixed straight line; then the two remaining limbs envelop a conic. Maclaurin's method, published in his Geometria organica (1719), is based on the proposition that the

**locus**of the vertex of a triangle, the sides of which pass through three fixed points, and the base angles move along two fixed lines, is a conic section.The definitions given above reflect the intimate association of these curves, but it frequently happens that a particular conic is defined by some special property (as the ellipse, which is the

**locus**of a point such that the sum of its distances from two fixed points is constant); such definitions and other special properties are treated in the articles Ellipse, Hyperbola and Parabola.In the latest version you completely lose the

**locus**of control, you have limited chances of stopping breakaways.We have evidence for point mutations, recombination, gene conversions, and unequal crossing-over within and between homologs at this complex

**locus**.Summary An indifference curve is a

**locus**of points about which the individual feels indifferent.AdvertisementThese results have quite important meaning in the survey of genomic

**locus**which is responsible for radiation hypersensitivity.While the chicken

**locus**looks similar to the mammalian beta-globin loci at first glance, there are some major differences.Other yet undiscovered genes outside the prion protein gene

**locus**might also confer susceptibility.The problem of the curves is solved by their reduction to a problem of straight lines; and the

**locus**of any point is determined by its distance from two given straight lines - the axes of co-ordinates.Also the auxiliarly circle is the

**locus**of the feet of the perpendiculars from the foci on any tangent.AdvertisementNewton defined the diameter of a curve of any order as the

**locus**of the centres of the mean distances of the points of intersection of a system of parallel chords with the curve; this**locus**may be shown to be a straight line.It may be shown to be the

**locus**of the vertex of the triangle which has for its base the distance between the centres of the circles and the ratio of the remaining sides equal to the ratio of the radii of the two circles.The axode is hence the

**locus**of the instantaneous axis, whilst the centrode is the**locus**of the instantaneous centre in any plane parallel to the plane of motion.Then the

**locus**of P is the witch.In a machine of any kind, each point describes a curve; a simple but important instance is the " three-bar curve," or

**locus**of a point in or rigidly connected with a bar pivoted on to two other bars which rotate about fixed centres respectively.AdvertisementPlucker first gave a scientific dual definition of a curve, viz.; " A curve is a

**locus**generated by a point, and enveloped by a line - the point moving continuously along the line, while the line rotates continuously about the point "; the point is a point (ineunt.) of the curve, the line is a tangent of the curve.Secondly, as to the inflections, the process is a similar one; it can be shown that the inflections are the intersections of the curve by a derivative curve called (after Ludwig Otto Hesse who first considered it) the Hessian, defined geometrically as the

**locus**of a point such that its conic polar (§ 8 below) in regard to the curve breaks up into a pair of lines, and which has an equation H = o, where H is the determinant formed with the second differential coefficients of u in regard to the variables (x, y, z); H= o is thus a curve of the order 3 (m - 2), and the number of inflections is =3m(m-2).Many well-known derivative curves present themselves in this manner; thus the variable curve may be the normal (or line at right angles to the tangent) at any point of the given curve; the intersection of the consecutive normals is the centre of curvature; and we have the evolute as at once the

**locus**of the centre of curvature and the envelope of the normal.The Attic tradition, reproduced in Euripides (Ion 1002), regarded the Gorgon as a monster, produced by Gaea to aid her sons the giants against the gods and slain by Athena (the passage is a

**locus**classicus on the aegis of Athena).Let APB be a semicircle, BT the tangent at B, and APT a line cutting the circle in and BT at T; take a point Q on AT so that AQ always equals PT; then the

**locus**of Q is the cissoid.AdvertisementIf the tangents be at right angles, then the

**locus**of the point is a circle having the same centre as the ellipse; this is named the director circle.Bertin has shown that a useful picture of the form of these curves may be obtained by taking sections, parallel to the plate, of a surface that he calls the "isochromatic surface," and that is the

**locus**of points on the crystal at which the relative retardation of two plane waves passing simultaneously through a given point and travelling in the same direction has an assigned value.One definition, which is of especial value in the geometrical treatment of the conic sections (ellipse, parabola and hyperbola) in piano, is that a conic is the

**locus**of a point whose distances from a fixed point (termed the focus) and a fixed line (the directrix) are in constant ratio.Genetic characterization of the legs at odd angles angles

**locus**, a new mutation causing motor neuron degeneration in a gene dose dependent manner.We found evidence that recombination contributed to sequence divergence within at least one gene

**locus**.Let PP1P2 be the path of the moving point, and let OT, OT 1, OT2, be drawn from the fixed point 0 parallel and equal to the velocities at P, P 1, respectively, then the

**locus**of T is the hodograph of the orbits described by P (see figure).A genome-wide scan for human obesity genes reveals a major susceptibility

**locus**on chromosome 10.The gene has been identified at

**locus**Xq27.Of course, as luck would have it, she is the

**locus**of the change that they have come back to repair - in normal time, she is killed in a traffic accident.I pop over to

**Locus**on a regular basis, and SciFiWire, but that's about it.And yet theism - or monotheism - constitutes a special

**locus**in the history of religion.The expression " wisdom," as it is employed in the

**locus**classicus, Prov.The lemniscate of Bernoulli may be defined as the

**locus**of a point which moves so that the product of its distances from two fixed points is constant and is equal to the square of half the distance between these points.But a little before Tertullian, Irenaeus, though he does not use the word ordo, anticipates in some measure Tertullian's abstract term, for he recognizes a magisterii

**locus**, " a place of magistracy " or " presidency " in the church.In order that a large part of the field of view may be in focus at once, it is desirable that the

**locus**of the focused spectrum should be nearly perpendicular to the line of vision.Then the

**locus**of the intersection of PQ and OM is the quadratrix of Dinostratus.The Asiatic story then died away, but the name remained, and the royal presbyter was now assigned a

**locus**in Ethiopia.The pursuit of mechanical methods furnished a stimulus to the study of mechanical loci, for example, the

**locus**of a point carried on a rod which is caused to move according to a definite rule.This was sometimes known as the parlour, colloquii

**locus**, the monks having the privilege of conversation here.A system of circles is coaxal when the

**locus**of points from which tangents to the circles are equal is a straight line.It may be defined as a section of a right circular cone by a plane parallel to a tangent plane to the cone, or as the

**locus**of a point which moves .so that its distances from a fixed point and a fixed line are equal.The instantaneous centre will have a certain

**locus**in space, and a certain**locus**in the lamina.Hence the

**locus**of J relative to AB, and the**locus**relative to CD are equal ellipses of which A, B and C, D are respectively the foci.Again, that wrenches of arbitrary amounts about two given screws compound into a wrench the

**locus**of whose axis is a cylindroid.Since the given wrench can be replaced by a force acting through any assigned point P, and a couple, the

**locus**of the null-lines through P is a plane, viz, a plane perpendicular to the vector which represents the couple.The complex is therefore of the type called linear (in relation to the degree of this

**locus**).Again, any plane w is the

**locus**of a system of null-lines meeting in a point, called the null-point of c. If a plane revolve about a fixed straight line p in it, its ntill-point describes another straight line p, which is called the conjugate line of p. We have seen that the wrench may be replaced by two forces, one of which may act in any arbitrary line p. It is now evident that the second force must act in the conjugate line p, since every line meeting p, p is a null-line.Again, the

**locus**of G is an arc of an ellipse whose centre is in the intersection of the planes; since this arc is convex upwards the equilibrium is unstable.The

**locus**of the point V is called the hodograp/z (q.v.); and it appears that the velocity of the point V along the hodograph represents in magnitude and in directon tbt acceleration in the original orbit.Let a be the radius of the rolling sphere, c that of the spherical surface which is the

**locus**of its centre, and let x, y, I be the co-ordinates of this centre relative to axes through 0, the centre of the fixed sphere.To find the form of these surfaces corresponding to a particular pair of non-adjacent links, consider each link of the pair fixed in turn, then the

**locus**of the instantaneous axis is the axode corresponding to the fixed link, or, considering a plane of motion only, the**locus**of the instantaneous centre is the ceotrode corresponding to the fixed link.The

**locus**of any other carried point is an "epitrochoid" when the circle rolls externally, and a "hypotrochoid" when the circle rolls internally.Draw any line DE perpendicular to AB and meeting the circle in E, and take a point P on DE such that the line DP =arc BE; then the

**locus**of P is the companion to the cycloid.The cartesian equation, referred to the fixed diameter and the tangent at B as axes may be expressed in the forms x= a6, y=a(I -cos 0) and y-a=a sin (x/afir); the latter form shows that the

**locus**is the harmonic curve.When the refracting curve is a circle and the rays emanate from any point, the

**locus**of the secondary caustic is a Cartesian oval, and the evolute of this curve is the required diacaustic. These curves appear to have been first discussed by Gergonne.There appears to be no

**locus**poenitentiae for serious sins excepting in the case of catechumens, and there is a notable " perfectionist " tone in many of the prayers.Such a curve may be regarded geometrically as actually described, or kinematically as in the course of description by the motion of a point; in the former point of view, it is the

**locus**of all the points which satisfy a given condition; in the latter, it is the**locus**of a point moving subject to a given condition.Thus the most simple and earliest known curve, the circle, is the

**locus**of all the points at a given distance from a fixed centre, or else the**locus**of a point moving so as to be always at a given distance from a fixed centre.The Greek geometers invented other curves; in particular, the conchoid, which is the

**locus**of a point such that its distance from a given line, measured along the line drawn through it to a fixed point, is constant; and the cissoid, which is the**locus**of a point such that its distance from a fixed point is always equal to the intercept (on the line through the fixed point) between a circle passing through the fixed point and the tangent to the circle at the point opposite to the fixed point.The manor, then called Bellus

**Locus**or Beaulieu on account of its beautiful situation, was afterwards granted to the Mortimers, in whose family it continued until it was merged in the crown on the accession of Edward IV.