A Textbook Of Analytical Geometry Of Two Dimensions

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New Age International, 1986 - 362 páginas
 

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Índice

PRELIMINARY
1
THE STRAIGHT LINE
19
CHANGE OF AXES
50
PAIR OF LINES
58
THE CIRCLE
80
SYSTEMS OF CIRCLES
114
Coaxal circles
128
THE PARABOLA
142
TRACING OF CONICS
294
Conic section
295
Centre of a conic section
297
Principal axes and eccentricity of a conic
300
Axis latus rectum vertex and focus of a parabola
303
Tracing of conics
304
POLAR EQUATION OF A CONIC 1 Introduction
313
Tracing of the conic1+e cos 0
315

8
174
19
185
Diameter
186
THE ELLIPSE
193
50
201
Propositions on ellipse
219
Diameter
230
THE HYPERBOLA 1 Definition
251
Some important results
259
Parametric form of the hyperbola
261
Asymptotes
267
Conjugate hyperbola
272
Rectangular hyperbola
280
Chord joining two points
321
Tangent and normal
322
Polar
327
Director circle
328
Asymptotes
329
OBLIQUE AXES 1 Introduction
334
Equation of a line
335
Angle between two lines
336
Length of perpendicular
338
Angle between the pair of lines
339
Equation of a hyperbola
346
334
361
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