This book explores coordinate geometry, a branch of mathematics that uses algebraical equations to define geometric figures. The author provides numerous valuable problems and solutions, many of which are enriched with incidental problems and miscellaneous character, to sharpen the intellect of the learner and give them a true conception of the signification of corresponding and more abstract propositions. The author has carefully arranged these problems in a unique way, based on similarity of geometrical properties and analogy between methods of solution. The author begins by introducing basic concepts such as rectangular and oblique axes, polar equations, and rectilinear loci. They then move on to more advanced topics such as transversals, explicit and implicit parameters, and various types of curves. Throughout the book, the author provides clear explanations and detailed solutions, making it an excellent resource for students and teachers of coordinate geometry.
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Excerpt from Problems in Illustration of the Principles of Plane Coordinate Geometry
Within the last few years have appeared many valuable works on Coordinate Geometry, involving a variety of new and elegant methods of Algebraical investigation. Several of these treatises are enriched with numerous incidental problems, and to the solution of problems of a miscellaneous character some of them are principally devoted. The tendency of even detached and desultory problems is no doubt to sharpen the intellect of the learner, and to give him a true conception of the signification of corresponding and more abstract proposi tions: the classification however of problems by some law of affinity is, in my opinion, calculated not only to produce the same result in a still higher degree, but also to qualify him by an enlarged comparison for becoming skilful and judicious in effecting his own solutions. In this conviction has originated the composition of this work.
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