In the *Little Mathematics Library* series we now come to *Remarkable Curves*, by a very remarkable author *A. I. Markushevich*. I am saying that he is remarkable as he has many good books under his sleeve, some of which we may see in the future.

As the title suggests the books takes the reader through various curves and how they can be materialised, just have a look at the table of contents below. The preface of the book says:

This book has been written mainly for high school students, but it will also be helpful to anyone studying on their own whose mathematical education is confined to high school mathematics. The book is based on a lecture I gave to Moscow schoolchildren of grades 7 and 8 (13 and 14 years old).

In preparing the lecture for publication I expanded the material,while at the same time trying not to make the treatment any less accessible. The most substantial addition is Section 13 on the ellipse, hyperbola and parabola viewed as conic sections.

For the sake of brevity most of the results on curves are given with-

out proof, although in many cases their proofs could have been given

in a form that readers could understand.The third Russian edition is enlarged by including the results on

Pascal’s and Brianchon’s theorems (on inscribed and circumscribed

hexagons), the spiral of Archimedes, the catenary, the logarithmic

spiral and the involute of a circle.

The book was translated from the Russian by Yu. A. Zdorovov and was first published by Mir in 1980.

The table of contents is as below:

Preface to the Third Russian Edition

1. The Path Traced Out by a Moving Point

2. The Straight Line and the Circle

3. The Ellipse

4. The Foci of an Ellipse

5. The Ellipse is a Flattened Circle

6. Ellipses in Everyday Life and in Nature

7. The Parabola

8. The Parabolic Mirror

9. The Flight of a Stone and a Projectile

10. The Hyperbola

11. The Axes and Asymptotes of the Hyperbola

12. The Equilateral Hyperbola

13. Conic Sections

14. Pascal’s Theorem

15. Brianchon’s Theorem

16. The Lemniscate of Bernoulli

17. The Lemniscate with Two Foci

18. The Lemniscate with Arbitrary Number of Foci

19. The Cycloid

20. The Curve of Fastest Descent

21. The Spiral of Archimedes

22. Two Problems of Archimedes

23. The Chain of Galilei

24. The Catenary

25. The Graph of the Exponential Function

26. Choosing the Length of the Chain

27. And What if the Length is Different?

28. All Catenarics are Similar

29. The Logarithmic Spiral

30. The Involute of a Circle

Conclusion

Plz tell am not getting any book for download.Is it become paid site???????????????

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No. See this

D

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Bro Damitr can u tell me process how to download its saying go to premium account for fast download when i click on “click here to download”. Tell quick as possible

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link is dead

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See this.

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The link is dead.

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Check for alternate links here: http://livros-matema.blogspot.pt/search/label/MIR

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http://rapidgator.net/file/1197282/Remarkable_Curves.djvu.html

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Note, though, that Page 16 is missing from the scanned copy available at the URL mentioned in my reply above.

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http://rapidshare.com/files/106467038/curvas_marav_num_complejos_otros.zip

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If you could re upload the file and update the original link it will be very useful. Also not sure if the one which you had had this missing page problem or not, if it was full, then all the more reason to upload once again.

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