Problems on the sum of the areas of infinitely many decreasing basic planar shapes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F26%3A00564199" target="_blank" >RIV/60162694:G43__/26:00564199 - isvavai.cz</a>
Result on the web
<a href="http://meraa.uniag.sk/docs/2024-02/potucek.html" target="_blank" >http://meraa.uniag.sk/docs/2024-02/potucek.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.15414/meraa.2024.10.02.34-47" target="_blank" >10.15414/meraa.2024.10.02.34-47</a>
Alternative languages
Result language
angličtina
Original language name
Problems on the sum of the areas of infinitely many decreasing basic planar shapes
Original language description
This contribution deals with the calculations of the sums of the areas of infinitely many uniformly decreasing basic planar shapes. Using the formula for the sum of an infinite geometric series, the formulas for the sums of the areas enclosed by an equilateral, isosceles and right triangle, for a square, rectangle, regular hexagon, regular octagon, regular -sided polygon, circle and ellipse are derived. Computer algebra system Maple was used for numerical calculations.
Czech name
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Czech description
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Classification
Type
J<sub>ost</sub> - Miscellaneous article in a specialist periodical
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics in Education, Research and Applications
ISSN
2453-6881
e-ISSN
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Volume of the periodical
10
Issue of the periodical within the volume
2
Country of publishing house
SK - SLOVAKIA
Number of pages
14
Pages from-to
34-47
UT code for WoS article
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EID of the result in the Scopus database
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