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  1. Repozytorium Uniwersytetu w Białymstoku
  2. Czasopisma naukowe / Journals
  3. Formalized Mathematics
  4. Formalized Mathematics, 2005, Volume 13, Issue 1

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    • Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/21424
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    Pole DCWartośćJęzyk
    dc.contributor.authorKorniłowicz, Artur-
    dc.contributor.authorShidama, Yasunari-
    dc.date.accessioned2026-11-04T10:57:29Z-
    dc.date.available2026-11-04T10:57:29Z-
    dc.date.issued2005-
    dc.identifier.citationFormalized Mathematics, Volume 13, Issue 1, Pages 117-124pl
    dc.identifier.issn1426-2630-
    dc.identifier.urihttp://hdl.handle.net/11320/21424-
    dc.language.isoenpl
    dc.publisherUniversity of Białystokpl
    dc.rightsCC BY-SA 4.0-
    dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/-
    dc.titleSome Properties of Circles on the Planepl
    dc.typeArticlepl
    dc.rights.holder© 2005 University of Białystokpl
    dc.rights.holderThis work is licensed under the Creative Commons License.pl
    dc.description.AffiliationArtur Korniłowicz - University of Bialystokpl
    dc.description.AffiliationYasunari Shidama - Shinshu University, Naganopl
    dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91–96, 1990.pl
    dc.description.referencesGrzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107–114, 1990.pl
    dc.description.referencesLeszek Borys. Paracompact and metrizable spaces. Formalized Mathematics, 2(4):481-485, 1991.pl
    dc.description.referencesCzesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507–513, 1990.pl
    dc.description.referencesCzesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.pl
    dc.description.referencesCzesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153–164, 1990.pl
    dc.description.referencesCzesław Byliński. Partial functions. Formalized Mathematics, 1(2):357–367, 1990.pl
    dc.description.referencesCzesław Byliński and Piotr Rudnicki. Bounding boxes for compact sets in E2. Formalized Mathematics, 6(3):427–440, 1997.pl
    dc.description.referencesAgata Darmochwał. Families of subsets, subspaces and mappings in topological spaces. Formalized Mathematics, 1(2):257–261, 1990.pl
    dc.description.referencesAgata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599–603, 1991.pl
    dc.description.referencesAgata Darmochwał and Yatsuka Nakamura. Metric spaces as topological spaces– fundamental concepts. Formalized Mathematics, 2(4):605–608, 1991.pl
    dc.description.referencesAgata Darmochwał and Yatsuka Nakamura. The topological space E2 T. Simple closed curves. Formalized Mathematics, 2(5):663–664, 1991.pl
    dc.description.referencesMariusz Giero. Hierarchies and classifications of sets. Formalized Mathematics, 9(4):865-869, 2001.pl
    dc.description.referencesAdam Grabowski. Introduction to the homotopy theory. Formalized Mathematics, 6(4):449–454, 1997.pl
    dc.description.referencesAdam Grabowski. Properties of the product of compact topological spaces. Formalized Mathematics, 8(1):55–59, 1999.pl
    dc.description.referencesAdam Grabowski. On the decompositions of intervals and simple closed curves. Formalized Mathematics, 10(3):145–151, 2002.pl
    dc.description.referencesKrzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35–40, 1990.pl
    dc.description.referencesStanisława Kanas, Adam Lecko, and Mariusz Startek. Metric spaces. Formalized Mathematics, 1(3):607–610, 1990.pl
    dc.description.referencesArtur Korniłowicz. The fundamental group of convex subspaces of EnT. Formalized Mathematics, 12(3):295–299, 2004.pl
    dc.description.referencesArtur Korniłowicz and Yasunari Shidama. Intersections of intervals and balls in EnT. Formalized Mathematics, 12(3):301–306, 2004.pl
    dc.description.referencesArtur Korniłowicz and Yasunari Shidama. Inverse trigonometric functions arcsin and arccos. Formalized Mathematics, 13(1):73–79, 2005.pl
    dc.description.referencesArtur Korniłowicz and Yasunari Shidama. Some properties of rectangles on the plane. Formalized Mathematics, 13(1):109–115, 2005.pl
    dc.description.referencesJarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269–272, 1990.pl
    dc.description.referencesYatsuka Nakamura. Half open intervals in real numbers. Formalized Mathematics, 10(1):21–22, 2002.pl
    dc.description.referencesBeata Padlewska. Locally connected spaces. Formalized Mathematics, 2(1):93–96, 1991.pl
    dc.description.referencesBeata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223–230, 1990.pl
    dc.description.referencesKonrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers. Formalized Mathematics, 1(4):777–780, 1990.pl
    dc.description.referencesAgnieszka Sakowicz, Jarosław Gryko, and Adam Grabowski. Sequences in EN T. Formalized Mathematics, 5(1):93–96, 1996.pl
    dc.description.referencesAndrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.pl
    dc.description.referencesAndrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9–11, 1990.pl
    dc.description.referencesAndrzej Trybulec. A Borsuk theorem on homotopy types. Formalized Mathematics, 2(4):535–545, 1991.pl
    dc.description.referencesAndrzej Trybulec and Yatsuka Nakamura. On the decomposition of a simple closed curve into two arcs. Formalized Mathematics, 10(3):163–167, 2002.pl
    dc.description.referencesMichał J. Trybulec. Integers. Formalized Mathematics, 1(3):501–505, 1990.pl
    dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990.pl
    dc.description.referencesEdmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181–186, 1990.pl
    dc.description.referencesYuguang Yang and Yasunari Shidama. Trigonometric functions and existence of circle ratio. Formalized Mathematics, 7(2):255–263, 1998.pl
    dc.description.referencesMariusz Żynel and Adam Guzowski. T0 topological spaces. Formalized Mathematics, 5(1):75–77, 1996.pl
    dc.identifier.eissn1898-9934-
    dc.description.volume13pl
    dc.description.issue1pl
    dc.description.firstpage117pl
    dc.description.lastpage124pl
    dc.identifier.citation2Formalized Mathematicspl
    Występuje w kolekcji(ach):Formalized Mathematics, 2005, Volume 13, Issue 1

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