Synopsis
Excerpt from Analytische Geometrie des Raumes
Sieht man in dieser Gleichung r als festgegebene Zahl an und x,; y,; z,; als einzeln betrachtet unbe schränkt variabel und nur der Beschränkung durch die Gleichung 1 unterworfen (was durch Weglassen der Marke 1 gekennzeichnet wird), so wird 1) erfüllt von allen Punkten, welche von O die Entfernung r haben und nur von diesem, somit ist der man die Form X2+y2+22 - r2=0 geben kann, im Sinne von T. 1, 54 die Gleichung der Kugel mit Centrum 0 und Radius r.
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Analytische Geometrie des Raumes (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book presents a comprehensive exploration of coordinate geometry in three dimensions. It demonstrates how a three-dimensional coordinate system (axes) is constructed through the intersection of three mutually perpendicular planes and explains the concepts of direction cosines and Plücker coordinates. The author discusses planes, lines, and the relationship between the two through duality principles. Theorems on points, planes, and lines are presented in detail using vector analysis and homogeneous coordinates. Also explored are conic sections as second-order surfaces and quadric surfaces, along with the use of polar coordinates to describe curves and surfaces in three dimensions. This book provides a thorough foundation for students and researchers in geometry and related fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780267589708_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780267589708
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