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From the PREFACE. The solutions in the Key will, I think, be found sufficiently full, and no pains have been spared to ensure their accuracy; they are also so worded that figures can be easily supplied by the student to enable him more readily to follow the reasoning, when geometrical. Figures are however given to the curves in Chaps. XXVI. and XXVIII. To make the book more useful and complete, I have, in some instances, adopted improved methods - chiefly in the Solutions to some of the examples in Chaps. XL, XIII., XV., XX. and XXII.; and I am bound to acknowledge some obligations to the last chapter of Mr. Turnbull's Analytical Plane Geometry. - H. ST. J. H. The references, unless otherwise specified, are to the tenth edition of the Differential Calculus.

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