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" I, the conic is a parabola; if e > 1, the conic is a hyperbola. Every conic section is representable by an equation of second degree. Conversely, every equation of second degree in two variables represents a conic. Th... "
Analytic Geometry - Page 92
by Clyde Elton Love - 1927 - 257 pages
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An Introduction to Celestial Mechanics

Forest Ray Moulton - Celestial mechanics - 1902 - 412 pages
...constants W and d are determined by the initial conditions, and they in turn define p and e by (39). If e< 1, the conic is an ellipse ; if e= 1, the conic is a parabola; if e>l, the conic is a hyperbola. If e = 0, the conic is a circle, but it cannot take this value as defined...
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An Introduction to Celestial Mechanics

Forest Ray Moulton - Celestial mechanics - 1914 - 464 pages
...constants ft2 and A are determined by the initial conditions, and they in turn define p and e by (39). If e < 1, the conic is an ellipse; if e = 1, the conic...is a parabola; if e > 1, the conic is a hyperbola; and if e = 0, the conic is a circle. 63. Force Varying Inversely as the Fifth Power of the Distance....
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Analytic Geometry: With Introductory Chapter on the Calculus

Claude Irwin Palmer, William Charles Krathwohl - Geometry, Analytic - 1921 - 376 pages
...called the directrix. The constant ratio is called the eccentricity and is usually represented by e. N If e = 1, the conic is a parabola. If e < 1, the conic is an ellipse. If e > 1, the conic is an hyperbola. 82. The equation of the parabola. — By the definition...
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Analytic Geometry: With Introductory Chapter on the Calculus

Claude Irwin Palmer, William Charles Krathwohl - Geometry, Analytic - 1921 - 374 pages
...positive, and may be equal to 1, less than 1, r greater than 1. If e = 1, the conic is a parabola. If e < 1, the conic is an ellipse. If e > 1, the conic is an hyperbola. 82. The equation of the parabola. — By the definition of the preceding article, the...
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An Introduction to Celestial Mechanics

Forest Ray Moulton - Science - 1970 - 468 pages
...initial conditions, and they in turn define p and e by (39). If e < I, the conic is an ellipse; if s = 1, the conic is a parabola; if e > 1, the conic is a byperbola; and if e = 0, the conic is a cirele. 63. Foree Varying Inversely as the Fifth Power of the...
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