The Elements of Spherical Trigonometry, for the Use of Schools, Etc (Classic Reprint) - Couverture souple

James Hann

 
9781331952947: The Elements of Spherical Trigonometry, for the Use of Schools, Etc (Classic Reprint)

Synopsis

Master the principles of spherical trigonometry with clear explanations and practical problems.

The work introduces the basic ideas of spherical triangles, the polar or supplemental triangle, and how spherical relationships connect to solid angles and polyhedrons. It emphasizes step-by-step methods you can apply to compute angles and sides, even when numbers are large or awkward.


You'll find foundational formulas, guided derivations, and worked examples that build toward more complex topics, including numerical solutions and the geometry of polyhedrons. The approach balances theory with tangible applications to three-dimensional geometry.



  • Foundational cosines and sines relations for spherical triangles, including the key equation cos a = cos b cos c + sin b sin c cos A.

  • Illustrations of the polar triangle and how its angles and sides relate to the original triangle.

  • Strategies for solving right-angled and quadrantal cases, with guidance on when to use supplements.

  • Connections between spherical geometry and polyhedrons, including how solid angles relate to surface area and edge counts.


Ideal for readers starting in geometry or trigonometry, or anyone needing a solid foundation in spherical methods.

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Présentation de l'éditeur

Leopold Classic Library is delighted to publish this classic book as part of our extensive collection. As part of our on-going commitment to delivering value to the reader, we have also provided you with a link to a website, where you may download a digital version of this work for free. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. Whilst the books in this collection have not been hand curated, an aim of our publishing program is to facilitate rapid access to this vast reservoir of literature. As a result of this book being first published many decades ago, it may have occasional imperfections. These imperfections may include poor picture quality, blurred or missing text. While some of these imperfections may have appeared in the original work, others may have resulted from the scanning process that has been applied. However, our view is that this is a significant literary work, which deserves to be brought back into print after many decades. While some publishers have applied optical character recognition (OCR), this approach has its own drawbacks, which include formatting errors, misspelt words, or the presence of inappropriate characters. Our philosophy has been guided by a desire to provide the reader with an experience that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic book, and that the occasional imperfection that it might contain will not detract from the experience.

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