Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 184
5°.0 Now, substituting x = —^^ and y = —^~-, (2) equation (1) becomes x-3y-2x + 6y-ll=0, (3) which represents the same locus as is representedby equation (1). Equation (2) may be written in the form (xf-iy-3(y-iy=9, which represents an hyperbola. [Cf. Art. 93.] Itscenter is at the point (1, 1); the… … Fio. 74. respectively; and the latus rectnm is 2. Theseresults refer to the new axes, of course, and thelocus is that represented in Fig. 74. Example 2. Given the equation 4ar + 4xv + y2_l8a; + 26y + 64 = 0, (5) to determine the nature and position of its locus.Here tan 2 fl =|, from which it…
Geometry, Analytic
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