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To date, no comprehensive and cohesive exposition has been compiled in a single volume.This book aims to fill that gap by providing a thorough treatment of the topic, along with new research that leads to several important findings. Among these are an extension of the famous Archimedes formula to general chains, newly discovered properties of the chains, and their intriguing connections with conic sections ― which serve as geometric loci of points related to the chains.To benefit fully from the material, the reader should be familiar with the fundamentals of Euclidean plane geometry, similarity and inversion theory, conics, radical axes of circles, and related concepts. For convenience, Chapter 4 includes a summary of key facts that readers may reference while studying this material. Where details have been omitted or computations shortened, we provide sufficient hints, instructions, and references for the interested reader to reconstruct the full arguments. In addition, we pose a few new questions for readers who may wish to explore and publish further work on the subject.Beyond inversion, the topics explored here include Descartes's Theorem for four mutually tangent circles (not meeting at a single point) and the classical Stewart's Theorem in triangle geometry. We also take the opportunity to correct an error that has persisted in the classical bibliography.  Free Download Certified Ethical Hacker CEH V13 STUDY GUIDE 2025-2027: Master Penetration Testing and Practice Tests Scenarios with Hands-On Labs for Certification Success by Fermin O. Goetz P.E. English | October 30, 2025 | ISBN: N/A | ASIN: B0FYF92JKR | 1110 pages | EPUB | 0.64 Mb Master the Ethical Hacking Certification and Pass Your CEH v13 Exam with Confidence!  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Cellular Aging and Consequences in Humans: Nutritional and Clinical Studies delivers a comprehensive exploration of cellular senescence and cutting-edge anti-aging strategies that may hold the key to healthier aging.  Free Download Cavalier Perspective: Last Essays, 1952-1966 by André Breton, Austin Carder English | 2025 | ISBN: 0872869393 | 256 Pages | True ePUB | 14.3 MB  Free Download Catalytic Capital: Unleashing Philanthropy for Systems Change English | 2026 | ISBN: 1009606794 | 323 Pages | PDF | 2 MB How can philanthropy catalyse systemic change in an era of global crisis? As the world grapples with escalating climate risks, widening inequality, and shifting global power dynamics, traditional approaches to development finance are becoming insufficient. This book explores how philanthropy, as risk capital, can de-risk investments, unlock private capital, and drive transformative, multi-sector partnerships to tackle the most pressing global challenges. Bringing together real-world case studies and expert insights, it highlights blended finance models, climate adaptation strategies, and innovative approaches to sustainable development. The authors reveal how emerging markets are leading in catalytic finance, how philanthropy can scale green investments, and why collaboration is the only path to meaningful impact. A must-read for philanthropists, investors, policymakers, and development leaders, Catalytic Capital offers practical frameworks to harness the power of finance for a more resilient, inclusive, and sustainable global economy. This title is also available as Open Access on Cambridge Core.  Free Download Caste-Class Hegemony and State Power: A Study of Gujarat Politics by Ghanshyam Shah English | 2026 | ISBN: 1032700238 | 286 Pages | True PDF | 2.6 MB |
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