Gil Jackman Books in Order
In differential geometry, the Tait–Kneser theorem states that, if a smooth plane curve has monotonic curvature, then the osculating circles of the curve are disjoint and nested within each other. The logarithmic spiral or the pictured Archimedean spiral provide examples of curves whose curvature is monotonic for the entire curve. This monotonicity cannot happen for a simple closed curve but for such curves the theorem can be applied to the arcs of the curves between its vertices.
Bibliography verified: January 2026
Book Series by Gil Jackman
- #1AmazonLOGAN(2018)
- #1AmazonSekunjalo(1997)
- #2AmazonMantis(1999)
- #3AmazonLa Vie de Paris(2008)
- #4AmazonThe Luthier(2008)
- #5AmazonCruise: The Real World of Cruising Today(2009)
- #6AmazonLiverpool Lou(2011)
- #7AmazonA Place of Whispers(2011)
- #8AmazonGhosts and the After Life(2011)
- #9AmazonThe Prominent Ladies Social Club(2013)
- #10AmazonThe Burden of Days(2017)
About Gil Jackman
In differential geometry, the Tait–Kneser theorem states that, if a smooth plane curve has monotonic curvature, then the osculating circles of the curve are disjoint and nested within each other. The logarithmic spiral or the pictured Archimedean spiral provide examples of curves whose curvature is monotonic for the entire curve. This monotonicity cannot happen for a simple closed curve but for such curves the theorem can be applied to the arcs of the curves between its vertices.
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