In addition, semistructured interviews were conducted with a sample of 12 learners and four educators to investigate their views about geometry learning difficulties. The findings of the study revealed that learners had poor conceptualisation of properties of shapes, visualisation skills, ...
Avectoris defined as a mathematical structure. It has many applications in the field of physics and geometry.We know that the location of the points on the coordinate plane can be represented using the ordered pair such as (x, y). The usage of the vector is very useful in the simplificat...
The text also discusses the law of cosines and Newton's assumption about the length of the angle bisector. It explores the generalization of the Pythagorean theorem in three dimensions and discusses a method called de Gua's theorem for deriving classical theorems in Euclidean geometry. The text ...
That connection enables introduction of more geometric concepts in pentagonal quasigroups. In this article some theorems of the Euclidean geometry which use all these concepts are stated and proved in pentagonal quasigroups.doi:10.1007/978-3-319-95588-9_37Stipe Vidak...
Examples of the use of Laguerre transformations to discover theorems in the Euclidean and Minkowski planes.doi:10.1007/BF01406828Jay P. FillmoreArthur SpringerBirkhäuser-VerlagJournal of GeometryFillmore J.P., Springer A.: New Euclidean theorems by the use of Laguerre transformations. J. Geom. 52...
The order of theorems in the teaching of Euclidean geometry: Learning from developments in textbooks in the early 20 th Century[J] . Taro Fujita.Zentralblatt für Didaktik der Mathematik . 2001 (6)The Order of Theorems in the Teaching of Euclidean Geometry: Learning from developments - Fujita...
Buchberger's method of Grbner bases can be used to decide a certain class of theorems in elementary Euclidean geometry. Moreover, the method can also be used to find subsidiary conditions that are necessary in order to transform an "almost valid" formulation of a geometry theorem into a valid...
Interpretations of some theorems of projective geometry in Euclidean spaceNelson, Ashley Teal
According to Kant's philosophy of geometry, Euclidean geometry is synthetic a priori . The advent of non-Euclidean geometries proved this position at least problematic, if not obsolete. However, based on Nash's embedding theorems we show that a weaker notion of preeminence supports the view that...
Automated production of traditional proofs for theorems in Euclidean geometry I. The Hilbert intersection point theorems[J] . Jing-Zhong Zhang,Shang-Ching Chou,Xiao-Shan Gao.Annals of Mathematics and Artificial Intelligence . 1995 (1)Zhang, J.Z., Chou, S.C., Gao, X.S.: Automated production...