 | Robert Gibbes Thomas - Calculus - 1919 - 598 pages
...(V2R -2K) RV2 sin2 j3 + 1; (14) 0 = 6 - c'. (15) Since the conic section is an ellipse, parabola, or hyperbola, according as e is less than, equal to, or greater than unity, and from (14), e is thus, according as VZR — 2 K is negative, zero, or positive; therefore, it is... | |
 | Charles Ernest Weatherburn - Mathematics - 1921 - 218 pages
...l=h*/ft, and one of whose foci is at the centre of force. The orbit will be an ellipse, a parabola or an hyperbola according as e is less than, equal to or greater than unity. Squaring the A value of ea given by (2), and noticing that v is perpendicular to k, wefind „ A«e«... | |
 | Hsue Shen Tsien, Hugh Latimer Dryden, William Hayward Pickering - Airplanes - 1946 - 82 pages
...curve, and all motion takes place in the plane of the curve. The conic is an ellipse, parabola, or hyperbola according as e is less than, equal to, or greater than unity. Since we wish the particle to return to the earth, we are interested only in elliptical orbits, or... | |
 | Constance Reid - Mathematics - 2004 - 306 pages
...constant. This ratio, which we express as e, is called the "eccentricity" of the curve. A conic is an ellipse, a parabola or a hyperbola according as e is less than 1, equal to 1, or more than 1. In the circle e is 0. Of such work by the ancient Greeks, a president... | |
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Hyperbola, according as e is less than, equal to, or greater than unity. 
