Abstract
While tracing the lines of motion and the meridian sections of their orthogonal surfaces for an infinite mass of perfect fluid disturbed by a moving sphere :—the question occurred to me “When are such systems similar?” In the problem alluded to, the equations of the curves are, respectively,It was at once obvious that any sets of curves such asare orthogonals. But they form similar systems only whenHence the only sets of similar orthogonal curves, having equations of the above form, are (a) groups of parallel lines and (b) their electric images (circles touching each other at one point).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
