A TEXT B0OK ON
Co-ordinate
GeometrY
ITwo &Three Dimensionsl
&Vector Analysis
400900e-
9e-
KHOSHMOHAMMAD
A TEXT BOOK
ON
CO-ORIDNATE GEOMETRY
(Twoand Three Dimensions)
AND
VECTOR ANALYSIS
For B.A. and B. Sc: (Pass & Hons. ) Students
KHOSH MOHAMMAD, M.Sc. (DAC),
M.Sc. & PH.D. (MANCHESTBR)
PANGEEmaLla:nIKIB.angRel.AidraRy@Vcmail.co.m
AssoCIATE PROFEsSOR
DEPARTMENT OF MATHEMATICcs
0196MIGTATT
813505,0185Di20al6:.0011816220127,
81AT 01616169090
UNIYERSITY OF DACCA
2018-2019
NiTkhet
120,
#
Shop
IDEAL LIBRARY
DACCA
Published by:
Mrs. Jonab Al
2/3 Bangla Bazar
Dacca-
First Edition August, 1965,
Second Edition: October, 1968.
Third Edition Decembor, 1975,
.[Revised Enlargod]
PREFACE TO THE THIRD EDITION
The present one is the thoroughly revised and
enlarged edition of the book. Many additions
and alterations have been made in this edition
to
improve the standard of the _book. I hope
that the teachers and students will accord the
same reoeption to this edition as they did to
the previous editions.
Any suggestion for further improvement of
the book will be thankfully received.
Copyright reerved by thë Puðlisher
Price: 200takáonly.
Printed by:
S. Rakman Choudhary
TaR UNTVERSAL PRESS
30 Syed Aulad Hossain
La
Dea-1
10th Septenber, 1975.
AUTHOR
PREFACE TO THE FIRST EDITION
This book is prepared for the use of the B.A./B.Sc. (Pass, Subsidiary and Honours) students of Mathematics. It would have never
been possible for me to prepare this book had I not been teaching the
subject When the new syllabus of Dacca University came ino
force I was facing caormous difñiculty in teaching the subject
for, not a single book available in the market could meet the
demand of the new syllabus and, as a result, students had to
on
my lecture-noes. The present volume is actualy
a collection of my lectuas ia the B.A./B.Sc. classes. As
Gcometry
is a compact subject I have discussed both two and three dimension
Geometry in a single volume so tha students learning three dimen
sion Geometry can easily understand the concepts in two dimension
Geometry. This book can be used by any student learning Gcometry
in any Pakistani or foreiga University.
depend entirely
(iv)
my colleagues
who gave
iration to write
me inspiration to
teacher Mr. A.R. Khali
A.R. Khalifa
to
of
to my
grateful
inc
to
permission
ssion
include
his
specially
am
the
the book. I
kindly given
who has
in the book,
Bniversity
am grateful
Dacca
Method
(ofsolving
gometrical
mention the
name
best
of the
Jonab Al, proprietor,
into it.
In spite of my careful
Suggestions
have crept
received,
be thankfully
book will
25th August, 1965.
Dacca University Campus,
Dacca,
PLANE CO-ORDINATE GEOMETRY
ab Ali, proprietor, Ideal
never come out
out.
book could
of Mr.
for the imna
improve
Lss errors might
meat
PART
problems)
mu
I must
the
whose help
mistakes,
ibrary, without
to avoid
I have tried my
CONTENTIS
(TWO DIMENSIONS)
MHAPTER I-CO-0RDINATES
CHAPTER II-THE
II-TRANSTORMAION
CO-ORDINATE^..
STRAIGHT LINE
OF
CHAPTER
AUTHOR
VCHAPTER IV-PAIR OF STRAGHT LINES
CHAPTER VII-THE PARABOLA
CHAPTER VIII-THE ELLIPSE
25
49
73
CHAPTER V-THE CIRCLE
VCHAPTER VI-CONICS IN GENERAL
1
14
. 113
165
176
CHAPTER x-HYPÈRBOLA
.
199
CHAPTER I-THE STRAIGHT LINE AND PLANE..
28
CHAPTER IV-THE SPHERB
58
77
PART II
SOLID GEOMETRY
THREE DIMENSIONS)
CHAPTER I-CO-ORDINATES
CHAPTER II-PROJECTIONS
CHAPTER V-THE CENTRAL CONICOIDS
CHAPTER VI-THE cONE AND THE CYLINDER
99
APPENDIX-THE PARABOLOID
114
PART II
VECTOR ANALYSIS
CHAPTER I-ADDITION AND SUBTRACTION
OF VECTORS
.
.
CHAPTER II-PRODUCTS' OF VECTORS
UNIVERSITY QUESTIONS
121
141
*
6