A School Geometry. (Containing Plane and Solid Geometry, Treated Both Theoretically and Graphically)
نویسندگان
چکیده
منابع مشابه
On the Relationship between plane and solid Geometry
Traditional geometry concerns itself with planimetric and stereometric considerations, which are at the root of the division between plane and solid geometry. To raise the issue of the relation between these two areas brings with it a host of different problems that pertain to mathematical practice, epistemology, semantics, ontology, methodology, and logic. In addition, issues of psychology and...
متن کاملPlane Curves and Contact Geometry
We apply contact homology to obtain new results in the problem of distinguishing immersed plane curves without dangerous selftangencies.
متن کاملFuzzy plane geometry: triangles
A fuzzy triangle T (with a discrete-valued membership function) can be regarded as a nest of parallel-sided triangles T i with successively higher membership values. Such a nest is determined by its max projections on any two of its \sides". The area (perimeter) of T is a weighted sum of the areas (perimeters) of the T i 's. The side lengths and altitudes of T can also be deened as weighted sum...
متن کاملGeometry : A Small Package for Mechanized (Plane) Geometry Manipulations
Geometry is not only a part of mathematics with ancient roots but also a vivid area of modern research. Especially the field of geometry, called by some negligence “elementary”, continues to attract the attention also of the great community of leisure mathematicians. This is probably due to the small set of prerequisites necessary to formulate the problems posed in this area and the erudition a...
متن کاملFormalizing Complex Plane Geometry
Deep connections between complex numbers and geometry had been well known and carefully studied centuries ago. Fundamental objects that are investigated are the complex plane (usually extended by a single infinite point), its objects (points, lines and circles), and groups of transformations that act on them (e.g., inversions and Möbius transformations). In this paper we treat the geometry of c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Mathematical Gazette
سال: 1905
ISSN: 0025-5572
DOI: 10.2307/3602751