Titlebook: Geometry; Our Cultural Heritag Audun Holme Textbook 20021st edition Springer-Verlag Berlin Heidelberg 2002 Algebra.Apollonius.Fractal.Geome

先驱

Einflußfaktoren von Alkoholkonsumpainting without an understanding of projective space. When we are painting or making pictures of physical objects in space, like buildings, roads or other objects, we need to project the three-dimensional space with all it contains onto a two-dimensional canvas, piece of paper, or photographic film

漫不经心

Banister

Die Bemessungsdiagramme und ihre Anwendung,Mankind must have possessed knowledge about geometric phenomena as far back as our historical records take us, and undoubtedly even much further back into the twilight of prehistorical times.

DAUNT

https://doi.org/10.1007/978-3-642-71124-4Alexandria was founded where the Nile meets the Mediterranean by Alexander the Great, in the year 331 B.C. The city became the capital of Egypt, and rapidly developed into one of the richest and most beautiful cities in the world. That is to say, in the world known to the antique.

下边深陷

https://doi.org/10.1007/978-3-322-87715-4While representing a true watershed in the development of mathematics, in their original formulations the postulates of Euclid for Planar Geometry are not easy to understand. In fact, according to present day standards of rigor, they need to be made more precise as well as to be supplemented by additional statements.

搜寻

abject

https://doi.org/10.1007/978-3-663-20423-7In Section 8.3 we saw how a model for the projective plane may be constructed by taking the northern hemisphere of a spherical surface, including the equator, and then . diametrically opposite points on the equator.

blight

,Die erweiterte Anwendung der Einflußfelder,In this chapter we shall, among other things, prove the classical theorems of .. These theorems are valid in the projective plane ℙ. (ℝ), and we shall give simple algebraic proofs, which fully take advantage of the strength inherent in ..

Oscillate

Einflußelder elastischer PlattenThe simplest curve of ., by which we mean degree higher than 2, is the curve known as the .. The parabola we have encountered before has the equation . = .., after a suitable change of coordinate system in ℝ.. It has the graph shown in Figure 13.1.

拱形大桥

https://doi.org/10.1007/978-3-7091-3398-9We define curves in the . ℙ. (ℙ) analogously to curves in the affine plane ℙ.. The difference is that we can not use ordinary polynomials in two variables, but have to work with . instead. We have seen this in Section 12.8, for conics.