Hostname: page-component-f554764f5-44mx8 Total loading time: 0 Render date: 2025-04-11T09:12:29.769Z Has data issue: false hasContentIssue false
  • English
  • Français

V. A New Method of resolving Cubic Equations

Published online by Cambridge University Press:  17 January 2013

James Ivory
James Ivory
Affiliation:
Professor of Mathematics in theUniversity of Edinburgh.
Get access Rights & Permissions [Opens in a new window]

Extract

1. I Divide cubic equations into two varieties or species: the one, comprehending all cubic equations with three real roots; the other, all those with only one real root.

2. Let φ denote any angle whatever, and let τ = tan φ, the radius being unity: let also : then from the doctrine of angular sections we have

which being reduced to the form of an equation, is

Z3-3τZ2-3Z+τ=0.

Type
Research Article
Information
Earth and Environmental Science Transactions of The Royal Society of Edinburgh , Volume 5 , Issue 1 , 1805 , pp. 99 - 116
Copyright
Copyright © Royal Society of Edinburgh 1805

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable