What's the difference between ellipse and parabola?

Ellipse


Definition:

  • (n.) An oval or oblong figure, bounded by a regular curve, which corresponds to an oblique projection of a circle, or an oblique section of a cone through its opposite sides. The greatest diameter of the ellipse is the major axis, and the least diameter is the minor axis. See Conic section, under Conic, and cf. Focus.
  • (n.) Omission. See Ellipsis.
  • (n.) The elliptical orbit of a planet.

Example Sentences:

  • (1) The authors have presented in two previous articles the graphic solutions resembling Tscherning ellipses, for spherical as well as for aspherical ophthalmic lenses free of astigmatism or power error.
  • (2) The Ta loop was a smooth, elongated ellipse in configuration and showed clockwise rotation in all planes, as did the P loop.
  • (3) Eighty degrees further forward, along the minor axis, was the crank arm orientation for the second ellipse, Eng90.
  • (4) A calculation for the correct circumference of an ellipse is proposed using the simple formula for a circle times a correction factor.
  • (5) Results show that the 3-D disc is mostly preceded by impressions of elastic amoeba-like deformations, whereas the 3-D egg is mostly preceded by the percept of a rotating flat ellipse.
  • (6) The lumina of most nonrespiratory bronchioles from normal lungs conformed closely to their respective ellipses, thus corroborating previous observations that they are normally cylindroid.
  • (7) Using a carbon dioxide laser, an ellipse of conjunctival-tarsal-inferior muscle tissue was excised from the inner surface of the ectropic lid inferior to the punctum.
  • (8) The lateral margins and base of transverse sections through the ellipse were free of tumor.
  • (9) Three commonly used prostate volume measurement techniques were analyzed: planimetry, prolate ellipse volume calculation (HWL), and an ellipsoid volume measurement technique.
  • (10) In this article four additional ideas are reviewed to improve the final cosmetic result of the ellipse.
  • (11) The shapes of the ellipses obtained characterized the rheological properties of each bronchial mucus sample before and after treatment.
  • (12) The long-term surgical outcome as determined by sexual function indicated that the penile prosthesis group remained the most sexually active, followed by the Nesbit ellipse group with the tunica vaginalis graft group being the least sexually active.
  • (13) With a set of discrete basic elements (cell nuclei) having several measurable features (area, surface, main and minor axis of best-fitting ellipses) a graph is defined as having attributes associated with edges.
  • (14) In all cases significant variations of the posturographic parameters regarding in a particular way the total tracing length, the ellipse surface and the mean speed have been recorded.
  • (15) The corneo-limbal ring (CLR) is defined here as the best fitting ellipse within the limbal region and characterized by the horizontal diameter (Dh), the vertical diameter (Dv), the eccentricity (e), and the circumference (O).
  • (16) These solutions, as expected, resemble the Tscherning ellipses, but strongly deformed.
  • (17) Two-year-old children received intradimensional discrimination training at initially distant points on a circle-ellipse continuum.
  • (18) Genioglossal muscle shortening increases pharyngeal area and reduces pharyngeal resistance more effectively when the pharynx is elliptical, with the long axis of the ellipse oriented laterally.
  • (19) The area of the stenosis by the edge detection method was calculated by analyzing two orthogonal projections for irregular stenoses and with use of the formula for the area of an ellipse (ellipse method).
  • (20) In children aged 3 years the shape of the upper dental arch was in most cases similar to a semi-ellipse and that of the lower arch approached parabole.

Parabola


Definition:

  • (n.) A kind of curve; one of the conic sections formed by the intersection of the surface of a cone with a plane parallel to one of its sides. It is a curve, any point of which is equally distant from a fixed point, called the focus, and a fixed straight line, called the directrix. See Focus.
  • (n.) One of a group of curves defined by the equation y = axn where n is a positive whole number or a positive fraction. For the cubical parabola n = 3; for the semicubical parabola n = /. See under Cubical, and Semicubical. The parabolas have infinite branches, but no rectilineal asymptotes.

Example Sentences:

  • (1) The major variation in these patterns can be modeled by families of parabolas with a single degree of freedom.
  • (2) The relation between concentration and absorption in an eight step calibration series is well described by a parabola of the 2nd degree.
  • (3) It was shown that the women used a parabola with a larger margin over the top of the hurdle than the men: A lower parabola would shorten the hurdle step, and would require the lengthening of the three interhurdle steps.
  • (4) Three to eight parabolas were averaged for subjects in each posture; the mean for each posture was calculated.
  • (5) It was found that the velocity profile of the FITC labelled RBC in straight microvessels was blunt as compared to a parabola.
  • (6) The "excitability ratio" is the first derivative of the response parabola and as such becomes a linear function of the actual arterial CO2 partial pressure.
  • (7) The equation of the resulting parabola, corresponding to the upper frontal arch, can be applied to every maxillary dimension.
  • (8) This increase is satisfactorily expressed by a cubic parabola.
  • (9) A not previously described relationship between HbA2 and total Hb was demonstrated and probably conformed to a second degree parabola.
  • (10) The shape of protrusive condyle path was like a section of parabola curved forward and downward.
  • (11) Evaluations of the arterial and venous bleeding were conducted at 3 rates x 3 parabolas, and capillary bleeding was evaluated with 5 parabolas x 2 methods (pig's foot and sponge).
  • (12) The flow velocity profile in the venule seems to deviate slightly from the Newtonian parabola.
  • (13) The concentration of factor VIIIa can be obtained from the quadratic coefficient of the equation describing the parabola.
  • (14) Pointing accuracy improved movement-to-movement but not parabola-to-parabola, indicating that prolonged exposure is needed for sustained adaptation.
  • (15) A "reference parabola" is introduced making the fluid pressure concept more understandable.
  • (16) Transcranial Doppler data with accompanying acceleration information were analyzed in three segments in each parabola.
  • (17) The following objectives are addressed in this study: 1) to discuss present techniques and two new radiographic measurement systems; 2) to establish mean, standard deviation, and normal range values for these measurement systems; 3) to determine if these measurements vary with foot size; and 4) to use the results to establish general guidelines for metatarsal parabola reconstruction.
  • (18) Reaction patterns of 90 cortical neurons to acetylcholine approximated by two parabolas have been divided on simple and complex.
  • (19) Each parabola included a period of 1.8 Gz, then approximately 20 seconds of weightlessness, and finally a period of 1.6 Gz; the cycle repeated almost immediately for the remainder of the set.
  • (20) The constant delta C model is explored and a physically more realistic model is advanced which allows for a temperature-dependent delta C which changes sign at some temperature within the range of stability of the native protein; delta G(T) then has the form of a skewed parabola.