A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 134
;2.t2 4:X -\- x^and Y = y — x 4dX-\-x^ A.x-\-x^ 4.T -f- X- They are,which for -, which for x = -\-ccz=2. y2 The branch in the first angle has an asymptote which cuts theaxis of 2/ at 2 above the origin, and the axis of x at2 on the left of the origin. The equation of thisline is ?/ r=r ic -f- 2.… … Fig. 106. Ex. 2. Show that y^ =^ a^ — x^ has an asymptote which is commonto its two infinite branches, passes through the origin, and makes anangle with the axis of x of 135°. Ex. 3. Examine t/2 = 2^ + 3^72 for asymptotes. \ Ex. 4. Why has y^ ■= x^ — x^ no asymptote ? Ex. 5. Examine y^ = ax^ for…
Geometry, Analytic · Calculus
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