To the University of Cambridge, the seat of Mathematical and Philosophical Learning, where truth has never been veiled by prejudice or disfigured by ignorance, this little effort at opening a road for the mathematical investigation of the elementary Philosophy of Plato and Aristotle, as taught by the " divine" Claudius Ptolemy, is most respectfully dedicated, (in grateful acknowledgment of the compliment paid him by the examination of that science by several members of their learned body since the first edition was printed) by their

Most respectful Servant,

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