. Differential and integral calculus. (5) dy Fig. 34. (6) Here, also, — has two equal Fig. 34 (7). Singular Points 209 (b) If the branches have different tangents at the point the point is called a Point Saillant, or Shooting-Point. dyHere -j- has two different values, Itdx tnay be remarked, however, that shoot-ing-points occur only in loci whose equa-tions are transcendental. Such pointsare usually determined by inspection. 151. Isolated or Conjugate Points are those points which are isolated from the curve, but whose coordinates satisfy its equation. As the curve has no direction at
. Differential and integral calculus. (5) dy Fig. 34. (6) Here, also, — has two equal Fig. 34 (7). Singular Points 209 (b) If the branches have different tangents at the point the point is called a Point Saillant, or Shooting-Point. dyHere -j- has two different values, Itdx tnay be remarked, however, that shoot-ing-points occur only in loci whose equa-tions are transcendental. Such pointsare usually determined by inspection. 151. Isolated or Conjugate Points are those points which are isolated from the curve, but whose coordinates satisfy its equation. As the curve has no direction at an isolated point, P{x, y), Fig. 8, it is obvious that— has an imaginary value at such a point. But imaginary values arise from the presence of radicals with even in- dydices; hence, if -j- has one imaginary value it p. has necessarily two such values. 152. The Point dArret, or Stop Point, is a Fig. 34 (8).point at which a branch of a curve stops. This point, peculiar to transcendental curves, is usually determinedby inspection. 153. Investigation for Singular Points. Let u =/(x, y) = o
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectcalculu, bookyear1918
