PL
 |
EN
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 5

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  geometria euklidesowa
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote Księga „V Elementów” Euklidesa
Euklides, Błaszczyk P., Mrówka K.
Kwartalnik Historii Nauki i Techniki
|
2013
|
R. 58, nr 3
7--27
2
Content available remote Komentarz do księgi „V Elementów” Euklidesa
Błaszczyk P., Mrówka K.
Kwartalnik Historii Nauki i Techniki
|
2013
|
R. 58, nr 3
29--60
EN
Book V of Euclid’s Elements contains the theory of proportions of magnitudes. Next to Book X, it is the least accessible book and much more abstract in character then other parts of the Elements. In this article we present a guide to help the reader through Euclid’s text. We explain the notions of magnitude, proportion, equimultiples and present Book V as a theory developed axiomatically. We provide a set of axioms for the theory of proportion and finally we present schemes of propositions V.8 and V.18.
3
Content available remote From Euclid's elements to cosserat continua
Povstenko J.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2008
|
Vol. 13
33-42
EN
The classical continuum theory is based on the assumption that each small particle behaves like a simple material point and ignores the relative motions of constituent parts of this particle. The development of the notion of a point and the development of non-Eeuclidean geometry is considered. The Cosserat continuum is an example of medium with microstructure, in which "a ponit" has an internal structure. Its motion is determined by the displacement and rotation fields.
4
Content available remote Notion of distance for Euclidean plane
Billich M.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2007
|
Vol. 12
11-16
EN
One motivation for developing axiomatic systems is to determine precisely which precisely which properties of certain objects can be deduced nom which other properties. The purpose is to choose a certain fundamental set of properties from which the other properties of the object can be deduced. Some of axioms of Euclidean plane based on the notion ef distance are considered. The notions of linear and planar sets are introduced in terms of distance. Thus Euclidean plane is regarded as a distance space with a metric satisfying the corresponding properties.
5
Content available remote Students’ Conception of a Point and its Relation to a Straght Line : A Comparison of Phylogenesis and Ontogenesis
Prokopová M.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2003
|
Vol. 9
179--185
EN
A point and a straight line are fundamental objects of Euclidean geometry which is taught at basic and secondary schools. Philosophers meditated on the nature of a point and a straight line long before Euclid (from the 6th century BC). But it was Euclid (about 325-265 BC) who delimited the concept of a point and a straight line (and others) in the First book of his Elements (Stocheia) by means of a definition. The phylogenesis of a point and its relation to a straight line is marked out by names such as Viéte, Kepler, Leibniz, Newton, Bolzano and Cantor. Students meet the concept of a point before they start to create their geometrical structures. Our analysis will try to show that there is a strong parallel between the ontogenetic and phylogenetic aspects of the conception of a point and its relation to a straight line, a ray and/or a segment.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.