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The advanced geometry of plane, curves and their applications/ (Record no. 185954)

MARC details
000 -LEADER
fixed length control field	00363nam a2200133Ia 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	0486442764
040 ## - CATALOGING SOURCE
Transcribing agency	CUS
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	516.22
Item number	ZWI/A
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name	Zwikker, C.
245 #4 - TITLE STATEMENT
Title	The advanced geometry of plane, curves and their applications/
Statement of responsibility, etc.	C. Zwikker
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc.	New York:
Name of publisher, distributor, etc.	Dover,
Date of publication, distribution, etc.	2005.
300 ## - PHYSICAL DESCRIPTION
Extent	xii, 299 p. :
Other physical details	ill. ;
Dimensions	23 cm.
440 ## - SERIES
Title	Dover phoenix editions.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note	PREFACE; <br/><br/>CHAPTER I - THE COMPLEX PLANE; 1. Introduction; 2. First examples; 3. Intersection of two curves. Complex x- and y-values; 4. The elements at infinity; 5. Complex values of u, deficient curves; <br/><br/>CHAPTER II - THE GEOMETRICAL INTERPRETATION OF ANALYTIC OPERATIONS APPLIED TO COMPLEX NUMBERS; 1. Addition, subtraction, multitiplication; 2. Decomposition of complex numbers; 3. Quotients; 4. Conformal transforms, inversion.; 5. Non-conformal transforms, collineation; 6. The first derivative, tangents; 7. The second derivative, curvature.<br/><br/>CHAPTER III - THE STRAIGHT LINE1. Collinearity of three points, concurrency of three straight lines; 2. The theorems of Ceva, Menelaos and Desargues; 3. Line coordinates; 4. Polar transformation, dual conceptions; 5. Projective point assemblages and ray pencils; 6. Projective geometry; 7. Involution; <br/><br/>CHAPTER IV - THE TRIANGLE; 1. Centre of gravity, orthocentre, circumcentre; 2. Euler's axis, nine points circle; 3. Base points of perpendiculars, Wallace's theorem; 4. Steiner's cycloid; <br/><br/>CHAPTER V - THE CIRCLE; 1. Properties of constant angle and of constant power; 2. General circle formula. 3. Circuit impedance and admittance. 4. The circle transformation; 5. Projective properties; <br/><br/>CHAPTER VI - ALGEBRAIC CURVES; 1. Unicursal curves of the n-th order; 2. Synthetic construction of conics, cubics and quartics; 3. Pole and polar; 4. Pascal's and Brianchon's theorems; 5. Cubics, Newton's classification; 6. Cubics, projective porperties; <br/><br/>CHAPTER VII - THE ELLIPSE; 1. Introduction; 2. Conjugate diameters; 3. The foci; 4. Kepler orbits; 5. Conic sections; 6. The reflection law; 7. The perimeter of the ellipse, radius of curvature; <br/><br/>CHAPTER VIII - HYPERBOLA; 1. Introduction. 2. Medians, conjugate directions3. Foci; 4. Ordhogonal Hyperbola; 5. Cartesian ovals; <br/><br/>CHAPTER IX - THE PARABOLA; 1. Introduction; 2. Right angles in the parabola; 3. Medians, pole and polar; 4. Concluding remarks on conics; <br/><br/>CHAPTER X - INVOLUTES, EVOLUTES, ANTICAUSTICS; 1. Involute and evolute; 2. Norwich spiral; 3. Catenary and tractrix; 4. Tractrices in general; 5. The evolute of the parabola; 6. Anticaustics; <br/><br/>CHAPTER XI - PEDALS AND OTHER DERIVED CURVES; 1. Pedal and contrapedal; 2. The pedal inversion theorem; 3. Limaçon, conchoid; 4. Pedals derived from the parabola.<br/><br/>CHAPTER XV - KINKED CURVES.
650 ## - SUBJECT
Keyword	Curves
650 ## - SUBJECT
Keyword	Geometry, Plane
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type	General Books

Holdings
Withdrawn status	Lost status	Damaged status	Not for loan	Home library	Current library	Shelving location	Date acquired	Full call number	Accession number	Date last seen	Koha item type
				Central Library, Sikkim University	Central Library, Sikkim University	General Book Section	29/08/2016	516.22 ZWI/A	P40967	29/08/2016	General Books