Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 157
d imaginary if 3. a m^> -5. The dividing case between these is when m :a corresponding to the two straight lines b , b y ^ -X and y = x. a ■a If, now, we construct a rectangle of which the centre is at C and the sides are equal to 2a and 2b, respectively, these two lines will be its diagonals.… … Fig. 64. THE CONIC SECTIONS. 143 Hence these diagonals tnay he used as guide lines in draivingthe branches of the hyperbola. They are called the asymptotesof the hyperbola. If the semi-axes a and b of the hyperbola are given, theeccentricity is given by the formula ^_ Va^+b^^ (5) aas follows at…
Geometry, Analytic
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