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Intersections of conics, confocal conics, and chords of contact. Three-Dimensional (3D) Geometry
However, your search also points to another relevant resource published by , titled Analytical Geometry (Three Dimensions) (For B. A. & B. Sc.-I Year, Semester II, Paper-III) , which is co-authored by P. N. Chatterji .
[ x^2+y^2-2x-4y-4=0 \quad;(1) ]
, which can be read online or downloaded with a subscription. eBook Library
Distance formulas, slopes, and perpendiculars. Conics (2D): Circles, parabolas, ellipses, and hyperbolas. Solid Geometry (3D): The Plane and Straight Line in space. Spheres, Cones, and Cylinders .
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: Equations, tangent planes, and intersection of spheres.
Authored by P.N. Chatterji, a distinguished former Head of the Mathematics Department at D.N. College, Meerut, this book is specifically designed to meet the requirements of Indian university syllabi. It focuses heavily on (Solid Geometry), providing a detailed yet accessible approach to complex shapes and equations. Key Features of the Book
: Provides [chapter-wise details and formula lists](ebookselibrary.com for the three-dimensions portion. : Frequently hosts study materials for Mathematics Optionals , including links to P.N. Chatterjee's solid geometry work. Internet Archive historical or related editions of P.N. Chatterjee's other works, such as "Dynamics". Book Structure and Key Topics The text is typically organized into sections covering: Systems of Coordinates 0) ⇒ ellipse/hyperbola
| Geometry | Standard Form | Key Parameters | Useful Derived Formula | |----------|---------------|----------------|------------------------| | | (ax + by + c = 0) | slope = (-a/b) (if (b \neq 0)) | Distance from ((x_1,y_1)) to line: (\displaystyle \frac\sqrta^2+b^2) | | Circle | ((x-h)^2+(y-k)^2=r^2) | centre ((h,k)), radius (r) | Power of a point (P): (PO^2 - r^2) | | Parabola (axis along x) | ((y-k)^2 = 4a(x-h)) | focus ((h+a, k)) | Latus‑rectum = (4a) | | Ellipse | (\displaystyle \frac(x-h)^2a^2+\frac(y-k)^2b^2=1) ( (a>b) ) | eccentricity (e = \sqrt1-b^2/a^2) | Distance between foci = (2ae) | | Hyperbola (horizontal) | (\displaystyle \frac(x-h)^2a^2-\frac(y-k)^2b^2=1) | eccentricity (e = \sqrt1+b^2/a^2) | Asymptotes: (y-k = \pm \fracba(x-h)) | | General 2nd‑degree | (Ax^2+2Hxy+By^2+2Gx+2Fy+C=0) | Discriminant (\Delta = ABC + 2FGH - AF^2 - BG^2 - CH^2) | (\Delta>0) ⇒ ellipse/hyperbola; (\Delta=0) ⇒ parabola | | Plane (3‑D) | (ax+by+cz+d=0) | normal vector ((a,b,c)) | Distance from ((x_0,y_0,z_0)): (\displaystyle \frac\sqrta^2+b^2+c^2) | | Line (3‑D) | (\fracx-x_1l=\fracy-y_1m=\fracz-z_1n) | direction ratios ((l,m,n)) | Shortest distance between two skew lines: (\displaystyle \frac(\mathbfr_2-\mathbfr_1)\cdot (\mathbfd_1\times\mathbfd_2)) |
Direct, legal PDF downloads of the complete copyrighted book are generally not available for free on public domains. However, you can find digital versions and snippets on the following platforms: : Offers a 726-page PDF of Solid Geometry by P.N. Chatterjee
: Provides the structural foundation needed to clear the rigorous coordinate geometry questions. How to Effectively Study from This Book c)) | Distance from ((x_0
Dipak Chatterjee's book has been published in several editions by different publishers. Knowing these can help you identify the correct book and find it more easily.