ELEMENTS: The whole Fifteen BOOKS WITH ARCHIMEDES Theorems By ISAAC BARROW, D. D. Late Mafter To which is added in this Edition, EUCLIDE'S DATA And a Brief TREATISE of REGULAR SOLIDS Καθαρμοὶ ψυχῆς λογικῆς εἰσὶν οἱ μαθηματικαὶ όπιςήμοι· LONDON: Printed and Sold by W. Redmayne To the READER. I F you are defirous, Courteous Reader,to know what I have perform'd in this Edition of the Elements of Euclide, I fhall bere explain it to you in short, according to the nature of the Work. I have endeavor'd to attain two ends chiefly; the first, to be very perfpicuous, and at the fame time fo very brief, that the Book may not fwell to fuch a Bulk, as may be troublefome to carry about one, in which I think I have fucceeded, unless in my absence the Printer's care fhould fruftrate my Defign. Some of a brighter Genius, and endued with greater Skill, may have demonftrated most of thefe Propofitions with more nicety, but perhaps none with more fuccinctness than I have; efpecially fince I alter'd nothing in the number and order of the Author's Propofitions; nor prefum'd either to take the liberty of rejecting, as lefs necessary, any of them, or of reducing Some of the eafter fort into the rank of Axioms, as (everal have done; and among others, that most expert Geometrician A. Tacquetus C. (whom I the more willingly name, because I think it is but civil to acknowledge that I have imitated him in fome Points) after whofe most acurate Edition I had no Thoughts of attempting any thing of this nature, till I confider'd that this most learned Man thought fit to publish only eight of Euclide's Books, which he took the pains to explain and embellish, baving in a manner rejected and undervalued the other feven, as less appertaining to the Elements of Geometry. But my Province was a 2 origi |