Treatise on Conic Sections
Author : Apollonius (of Perga.)
Publisher :
Page : 444 pages
File Size : 27,73 MB
Release : 1896
Category : Conic sections
ISBN :
Author : Apollonius (of Perga.)
Publisher :
Page : 444 pages
File Size : 27,73 MB
Release : 1896
Category : Conic sections
ISBN :
Author : Charles Smith
Publisher :
Page : 464 pages
File Size : 48,9 MB
Release : 1884
Category : Conic sections
ISBN :
Author : George Salmon
Publisher :
Page : 448 pages
File Size : 36,19 MB
Release : 1879
Category : Conic sections
ISBN :
Author : J. W. Downs
Publisher : Courier Corporation
Page : 116 pages
File Size : 26,85 MB
Release : 2012-10-16
Category : Mathematics
ISBN : 0486148882
Using examples from everyday life, this text studies ellipses, parabolas, and hyperbolas. Explores their ancient origins and describes the reflective properties and roles of curves in design applications. 1993 edition. Includes 98 figures.
Author : Barry Spain
Publisher : Courier Corporation
Page : 164 pages
File Size : 29,64 MB
Release : 2007-01-01
Category : Mathematics
ISBN : 0486457737
This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove particularly valuable in preparing readers for more advanced treatments. The text begins with an overview of the analytical geometry of the straight line, circle, and the conics in their standard forms. It proceeds to discussions of translations and rotations of axes, and of the general equation of the second degree. The concept of the line at infinity is introduced, and the main properties of conics and pencils of conics are derived from the general equation. The fundamentals of cross-ratio, homographic correspondence, and line-coordinates are explored, including applications of the latter to focal properties. The final chapter provides a compact account of generalized homogeneous coordinates, and a helpful appendix presents solutions to many of the examples.
Author : George Salmon
Publisher :
Page : 424 pages
File Size : 37,85 MB
Release : 1879
Category : Curves, Algebraic
ISBN :
Author : Apollonius (of Perga.)
Publisher :
Page : 328 pages
File Size : 29,89 MB
Release : 1939
Category : Conic sections
ISBN :
Author : George Polya
Publisher : Courier Corporation
Page : 82 pages
File Size : 22,41 MB
Release : 2013-04-09
Category : Mathematics
ISBN : 048631832X
Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.
Author : George Salmon
Publisher :
Page : 372 pages
File Size : 42,70 MB
Release : 1855
Category :
ISBN :
Author : O. Neugebauer
Publisher : Springer Science & Business Media
Page : 522 pages
File Size : 28,93 MB
Release : 2013-11-11
Category : Science
ISBN : 1461255597
The collection of papers assembled here on a variety of topics in ancient and medieval astronomy was originally suggested by Noel Swerdlow of the University of Chicago. He was also instrumental in making a selection* which would, in general, be on the same level as my book The Exact Sciences in Antiquity. It may also provide a general background for my more technical History of Ancient Mathematical Astronomy and for my edition of Astronomi cal Cuneiform Texts. Several of these republished articles were written because I wanted to put to rest well-entrenched historical myths which could not withstand close scrutiny of the sources. Examples are the supposed astronomical origin of the Egyptian calendar (see [9]), the discovery of precession by the Babylonians [16], and the "simplification" of the Ptolemaic system in Copernicus' De Revolutionibus [40]. In all of my work I have striven to present as accurately as I could what the original sources reveal (which is often very different from the received view). Thus, in [32] discussion of the technical terminology illuminates the meaning of an ancient passage which has been frequently misused to support modern theories about ancient heliocentrism; in [33] an almost isolated instance reveals how Greek world-maps really looked; and in [43] the Alexandrian Easter computus, held in awe by many historians, is shown from Ethiopic sources to be based on very simple procedures.