TL;DR
This paper introduces a straightforward definition of tangents in elementary geometry and characterizes when a tangent exists at a point on a curve.
Contribution
It provides a new simple definition of tangents and criteria for their existence at points on a curve.
Findings
Defined tangents in elementary geometry
Characterized tangent existence at points on a curve
Simplified understanding of tangents
Abstract
In this paper, we give a simple definition of tangents to a curve in elementary geometry. From which, we characterize the existence of the tangent to a curve at a point.
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Taxonomy
TopicsMathematics and Applications · Geometric and Algebraic Topology · History and Theory of Mathematics