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- Title
ON THE OUTLINES OF PLANE CURVES OF THE FORM (ax)<sup>α</sup> + (by)<sup>α</sup> = r<sup>α</sup> WITH α > 0.
- Authors
Norihiro Someyama
- Abstract
We consider plane curves of the form (ax)α + (by)α = rα defined on the first quadrant of R², where α > 0 and a, b, r > 0. We summarize the outlines of them by using elementary differential calculus. We will in this note understand that they are classified into three types of curves, convex, straight and concave, depending on α.
- Subjects
PLANE curves; DIFFERENTIAL calculus; IMPLICIT functions; AXES; OUTLINES
- Publication
Journal of Ramanujan Society of Mathematics & Mathematical Sciences, 2020, Vol 7, Issue 2, p99
- ISSN
2319-1023
- Publication type
Article