## Parabolas Sentence Examples

- This value of 0 is the same for all
**parabolas**which pass through D and E and have their axes at right angles to KL. - As the loads move over the girder, the points C, D, E describe the
**parabolas**M1, M2, M3 i the middle ordinates of which are 4W 1 1, 4W 2 1, and 4W3l. - The three lightly W2 dotted
**parabolas**are the curves of maximum moment for each of the loads taken separately. - In the geometry of plane curves, the term parabola is often used to denote the curves given by the general equation a' n x n = ym+n, thus ax= y 2 is the quadratic or Apollonian parabola; a 2 x = y 3 is the cubic parabola, a 3 x = y4 is the biquadratic parabola; semi
**parabolas**have the general equation ax n-1 = yn, thus ax e = y 3 is the semicubical parabola and ax 3 = y 4 the semibiquadratic parabola. - Diverging
**parabolas**are cubic curves given by the equation y 2 = 3 -f-bx 2 -cx+d. - The same holds for the four points B, C, D, E and so on; but since a parabola is uniquely determined by the direction of its axis and by three points on the curve, the successive
**parabolas**ABCD, BCDE, CDEF ... - The sun is a small target for a meteorite coming from infinity to hit, and if this considerable quantity reaches its mark, a much greater amount will circulate round the sun in
**parabolas**, and there is no evidence of it where it would certainly make itself felt, in perturbations of the planets. - The genera may be arranged as follows: 1,2,3,4 redundant hyperbolas 5,6 defective hyperbolas 7,8 parabolic hyperbolas 9 hyperbolisms of hyperbola To „ II „ „ parabola 12 trident curve 13 divergent
**parabolas**14 cubic parabola; and thus arranged they correspond to the different relations of the line infinity to the curve. - Thirdly, the three intersections by the line infinity may be coincident and real; or say we have a threefold point: this may be an inflection, a crunode or a cusp, that is, the line infinity may be a tangent at an inflection, and we have the divergent
**parabolas**; a tangent at a crunode to one branch, and we have the trident curve; or lastly, a tangent at a cusp, and we have the cubical parabola. - It is to be remarked that the classification mixes together non-singular and singular curves, in fact, the five kinds presently referred to: thus the hyperbolas and the divergent
**parabolas**include curves of every kind, the separation being made in the species; the hyperbolisms of the hyperbola and ellipse, and the trident curve, are nodal; the hyperbolisms of the parabola, and the cubical parabola, are cuspidal. - The five divergent
**parabolas**are curves each of them symmetrical with regard to an axis. - Were
**parabolas**in most cases within the limits of error of his observations. - It should also be remarked that even if the curves were not
**parabolas**, it would always be possible to draw**parabolas**to agree closely with the observations over a restricted range of temperature. - He discovered a simpler method of quadrating
**parabolas**than that of Archimedes, and a method of finding the greatest and the smallest ordinates of curved lines analogous to that of the then unknown differential calculus. - The second includes a "Method for the Quadrature of
**Parabolas**," and a treatise "on Maxima and Minima, on Tangents, and on Centres of Gravity," containing the same solutions of a variety of problems as were afterwards incorporated into the more extensive method of fluxions by Newton and Leibnitz. - If one of the foci be at infinity, the conics are confocal
**parabolas**, which may also be regarded as**parabolas**having a common focus and axis. - Akad., 1899) have gone back to Tait's method at high temperatures, employing arcs of
**parabolas**for limited ranges.