An Analytical System of Conic Sections (Classic Reprint) - Couverture souple

Henry Parr Hamilton

 
9780282665494: An Analytical System of Conic Sections (Classic Reprint)

Synopsis

Clear, student-friendly guidance to mastering conic sections with a classic approach.

This work presents conic sections through a definition-based starting point, focusing on simplicity for beginners. It treats the parabola, ellipse, and hyperbola using consistent methods across rectangular, oblique, and polar coordinates, linking ideas to analytic geometry without overwhelming rigor.



Readers will encounter practical developments in the ellipse, including properties related to tangents, conjugate diameters, and coordinate systems. The text builds from foundational definitions to accessible applications, making complex ideas easier to grasp for study and examination preparation.




  • Defines a conic section as a locus of a point with a fixed distance ratio to a focus and a line.

  • Derives key properties of the ellipse and hyperbola through consistent coordinate frameworks.

  • Explains tangents, diameters, and conjugate systems with concrete steps and examples.

  • Frames the subject in a way that aligns with elementary instruction and practice in algebra and geometry.



Ideal for students beginning their study of conic sections and for readers seeking a solid, approachable foundation in analytic geometry.

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