The term horse saddle is used, in contrast to monkey saddle, to designate a saddle point that is a minimax, that is to say a local minimum or maximum depending on the intersecting plane used. The monkey saddle has just a point of inflection. To see this, consider a line y = kx. Along this direction the surface becomes simply z = (1 − 3k2)x3, lacking any critical points.
Read more about this topic: Monkey Saddle
Famous quotes containing the words horse and/or saddle:
“What time she lifteth up herself on high, she scorneth the horse
and his rider.
Hast thou given the horse strength? hast thou clothed his neck with thunder?”
—Bible: Hebrew Job (l. XXXIX, 17–19)
“The dress makes the person; the saddle the horse.”
—Chinese proverb.