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Originally published in 1897, this book was based on the dissertation Russell presented for the Fellowship Examination of Trinity College, Cambridge, together with a series of lectures given in the USA around the same time. It provides an account of geometrical concepts in relation to logic, psychology and mathematics, shedding light on the development of Russell's philosophical perspective. This is a highly readable text that will be of value to anyone with an interest in geometry, philosophy and Russell's early thought.