AREAS BY INFINITE SERIES

AREAS BY INFINITE SERIES

Archimedes discovered a way of finding the exact area of plane surfaces hounded by curved lines without integral calculus.1 The method consists of fitting simple figures like squares and triangles into the curve. The spaces between the curve and the simple figures are gradually filled up with smalle...

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Bibliographic Details
Published in:The Mathematics teacher Vol. 65; no. 8; pp. 754 - 756
Main Author: MORGAN, LAWRENCE A.
Format: Journal Article
Language:English
Published: Reston National Council of Teachers of Mathematics 01-12-1972
Subjects:
Coordinate systems
Geometric lines
Parabolas
Sine function
Triangles
Vertices
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Summary:Archimedes discovered a way of finding the exact area of plane surfaces hounded by curved lines without integral calculus.1 The method consists of fitting simple figures like squares and triangles into the curve. The spaces between the curve and the simple figures are gradually filled up with smaller and smaller figures. If the areas of the simple figures can he calculated along with their infinite sum, the desired result is obtained. Two examples follow.
ISSN:0025-5769
2330-0582
DOI:10.5951/MT.65.8.0754