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| Part | Chapter | Core Topics Covered | Typical Applications | |------|---------|---------------------|----------------------| | | 1. Straight Lines | Slope, intercept form, general form, distance of a point, angle between lines, family of lines, concurrency | Coordinate geometry of linear equations, engineering drawings | | II | 2. Circles | Standard & general equation, tangent, chord, power of a point, coaxial circles, inversion | Design of gears, circular motion, optics | | III | 3. Conic Sections – Parabola | Focus‑directrix definition, standard & general forms, tangent, normal, chord of contact, reflective property | Projectile motion, satellite dish design | | IV | 4. Conic Sections – Ellipse | Standard & general equation, eccentricity, focal properties, tangents, normals, polar coordinates | Planetary orbits, elliptical mirrors | | V | 5. Conic Sections – Hyperbola | Standard & general form, asymptotes, transverse & conjugate axes, rectangular hyperbola, rectangular coordinates transformation | Relativistic motion, navigation systems | | VI | 6. Pair of Straight Lines & Their Geometry | Joint equation, angle between lines, combined equations, concurrency, polar lines | Structural analysis, circuit diagrams | | VII | 7. General Second‑Degree Curves | Classification via discriminant, rotation of axes, translation of axes, canonical forms | Advanced CAD, robotics path planning | | VIII | 8. Three‑Dimensional Geometry | Direction cosines, plane equations, line–plane relationships, distance formulae, quadric surfaces (ellipsoid, hyperboloid, paraboloid) | 3‑D modeling, aerospace engineering | | IX | 9. Spherical & Cylindrical Coordinates | Transformations, equations of surfaces, applications to physics | Fluid dynamics, electromagnetic field problems | | X | 10. Miscellaneous Topics | Loci, locus of points, loci of circles, pedal curves, envelopes | Problem‑solving tricks, Olympiad‑style geometry | This public link is valid for 7 days
| Platform | How to Search | Notes | |----------|---------------|-------| | | Go to https://scholar.google.com and type “Analytical Geometry” P. N. Chatterjee | If a free PDF is available, a [PDF] link will appear on the right side of the result. | | ResearchGate | Search the same title on https://www.researchgate.net | Authors often upload pre‑prints or final versions that can be downloaded after you create a free account. | | Academia.edu | Similar to ResearchGate; create a free account and search the title. | | University Library Catalogs | Use WorldCat (https://www.worldcat.org) or your own institution’s catalogue. Many libraries provide “Open Access” copies or inter‑library loan services. | | Internet Archive | https://archive.org – try searching “Analytical Geometry Chatterjee”. Some older textbooks have been digitized and are freely available. | | Publisher’s Site | If the work was published by a commercial publisher (e.g., Springer, Elsevier), check the publisher’s website. Some older titles are now Open Access, or you can request a copy via “Read Cube” or “Unpaywall” extensions. | | Open Access Repositories | ePrints, arXiv, or institutional repositories (e.g., MIT DSpace, IIT Delhi DSpace) may host a version if the author deposited it. | Can’t copy the link right now
In academic circles, particularly across Indian universities following traditional mathematics syllabi, P.N. Chatterjee’s textbooks are recognized for their rigorous approach. 1. Systematic Progression
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