Abscissa sentence example

abscissa
  • The ordinate of the trapezette will be denoted by u, and the abscissa of this ordinate, i.e.
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  • The measured lengths are marked off on ordinates erected on an abscissa, along which the times are noted.
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  • the ordinate whose abscissa is xo+ z H.
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  • It is obvious that the co-ordinates of any point on an ellipse may be expressed in terms of a single parameter, the abscissa being a cos q4, and the ordinate b sin 43, since on eliminating 4 between x = a cos and y = b sin 4) we obtain the equation to the ellipse.
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  • The statement that the ordinate u of a trapezette is a function of the abscissa x, or that u=f(x), must be distinguished from u =f(x) as the equation to the top of the trapezette.
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  • If, as is usually the case, the ordinate throughout each strip of the trapezette can be expressed approximately as an algebraical function of the abscissa, the application of the integral calculus gives the area of the figure.
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  • We take a fixed line OX, usually drawn horizontally; for each value of X we measure a length or abscissa ON equal to x.L, and draw an ordinate NP at right angles to OX and equal to the corresponding value of y .
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  • Thus PS (or OR) is the abscissa of P. The word appears for the first time in a Latin work written by Stefano degli Angeli (1623-1697), a professor of mathematics in Rome.
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  • The relation between x and t in any particular case may be illustrated by means of a curve constructed with I as abscissa and x as ordinate.
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  • If we construct a curve with x as abscissa and X as ordinats, this work is represented, as in J.
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  • It arises mainly in statistics, when the ordinate of the trapezette represents the relative frequency of occurrence of the magnitude represented by the abscissa x; the magnitude of the abscissa corresponding to the median ordinate is then the " median value of x."
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  • Such a line has for abscissa the distance of a load from one end of a girder, and for ordinate the bending moment or shear at any given section, or on any member, due to that load.
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  • As freezing progresses, at each successive temperature reached the frozen austenite has the carbon-content of the point on Aa which that temperature abscissa cuts, and the still molten part or " mother-metal " has the carbon-content horizontally opposite this on the line AB.
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  • The ordinate of the dotted curve which contains its "centre of gravity" has, of course, for its abscissa the "mean" number of glands; the maximum ordinate of the curve is, however, at 2.98, or sensibly at 3 glands, showing what Pearson has called the "modal" number of glands, or the number occurring most frequently.
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  • Since the curve represents a longitudinal disturbance in air it is always continuous, at a finite distance from the axis, and with only one ordinate for each abscissa.
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  • A curve with I as abscissa and u as ordinate is called the curve of velocities or velocity-time curve.
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  • The ordinate to any point upon this curved line then represents on the left-hand scale the maximum continuous yield per day for each acre of drainage area, from a reservoir whose capacity is equal to the corresponding abscissa.
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  • The angle cp is termed the eccentric angle, and is geometrically represented as the angle between the axis of x (the major axis of the ellipse) and the radius of a point on the auxiliary circle which has the same abscissa as the point on the ellipse.
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  • abscissa limits are now adjustable, so there is a new parameter called AXLIM which replaces ORDLIM and applies to both axes.
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  • abscissa value for each item in the list of graph lines.
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  • Parameters: ABSLAB = LITERAL (Read) Label for the plot abscissa, may include PGPLOT escape sequences.
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  • On the familiar indicator diagram the state of the working substance is represented by the position of a point called the " statepoint," defined by the values of the pressure p and volume v of unit mass, as ordinate and abscissa respectively (fig.
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  • duced by euclidian methods from the definition include the following: the tangent at any point bisects the angle between the focal distance and the perpendicular on the directrix and is equally inclined to the focal distance and the axis; tangents at the extremities of a focal chord intersect at right angles on the directrix, and as a corollary we have that the locus of the intersection of tangents at right angles is the directrix; the circumcircle of a triangle circumscribing a parabola passes through the focus; the subtangent is equal to twice the abscissa of the point of contact; the subnormal is constant and equals the semilatus rectum; and the radius of curvature at a point P is 2 (FP) 4 /a 2 where a is the semilatus rectum and FP the focal distance of P.
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  • ABSCISSA (from the Lat.
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  • The abscissa is the standard deviation of the relative error on coordinates of image point or calibration parameters.
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  • In modern notation, if we denote the ordinate by y, the distance of the foot of the ordinate from the vertex (the abscissa) by x, and the latus rectum by p, these relations may be expressed as 31 2 for the hyperbola.
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