Provider: Ingenta Connect
Database: Ingenta Connect
Content: application/x-research-info-systems
TY - ABST
AU - Boudreaux, Gregory Mark
AU - Walls, Jess E.
TI - Descartes' Calculus of Subnormals: What Might Have Been
JO - The College Mathematics Journal
PY - 2013-11-01T00:00:00///
VL - 44
IS - 5
SP - 409
EP - 420
N2 - RenĂ© Descartes' method for finding tangents (equivalently, subnormals) depends on geometric and algebraic properties of a family of circles intersecting a given curve. It can be generalized to establish a calculus of subnormals, an alternative to the calculus of Newton and Leibniz.
Here we prove subnormal counterparts of the well-known differentiation rules of the calculus.
UR - http://www.ingentaconnect.com/content/maa/cmj/2013/00000044/00000005/art00009
M3 - doi:10.4169/college.math.j.44.5.409
UR - https://doi.org/10.4169/college.math.j.44.5.409
ER -