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 62
32 THE CABTESIAN METHOD OF CO-ORDINATES. Ex. 9. Construct an hyperbola. … Fig. 33. SoiiUTioN.—Let AB be the directrix,F the focus, and m : n the ratio, inwhich m >> n. Through F draw FKperpendicular to the directrix and GHparallel, producing both indefinitely.Take FG (= FH) : CF : : rn : n.Through C and G draw MM, andthrough H and C, NN, the focal tan-gents. (The…
Geometry, Analytic · Calculus
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