Excerpt from A Mathematical Treatise: Containing a System of Conic-Sections, With the Doctrine of Fluxions and Fluents, Applied to Various Subjects, Viz.; To the Finding the Maximums and Minimums of Quantities, Radii of Evolution, Refraction, Reflection
In order to this, I confider a Curve-line to be generated by the motion of a point, urged by two powers acting in two difi'erent Directions, the one parallel to the Abfcifl'es and the other parallel to the Ordinates. I prove from thence, that if this point (when arrived at a given place) did continue to move with the velocity it has there, it would proceed in a right line touching the Curve in that place: From whence I conclude that the Direc'tion of the point in the faid place, is in the Tangent: So that the three Direétions being known in each place, the proportion between the velocities of the urging powers is likewife known.
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Paperback. Condition: New. Print on Demand. This book presents a systematic approach to the study of conic sections, conic-shaped curves that appear everywhere in our natural world, and are essential in fields such as engineering, astronomy, and architecture. The author proves theorems about the properties of these curves using a geometric approach and provides deductions from those theorems. The first book includes the foundation of conic sections, such as properties of tangents, diameters, conjugate diameters, and asymptotes. The author includes many diagrams throughout the text to help the reader visualize the concepts being discussed, and provides exercises that help the reader apply the concepts to real-world scenarios. This book is a valuable resource for anyone who wants to learn more about conic sections. 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 # 9780428147914_0
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