Synthesis et Analysis. Vulgo ALGEBRA. 1. WHereas 'tis universally granted by the Learned, That the Sciences Mathematical have their Rise and Foundation in Algebra; This than ought first to be Learned, in order to a True and Easie obtaining the Rest. 2. The most knotty and difficult Problems, which are to be met withal in the Works of Euclid, Archimedes, Diophantus, Pergoeus, Vieta, etc. and in those of our own Countrymen, as the Learned and Reverend Mr. Oughtred, Mr. Harriot, Dr. Pell, Mr. Kersey, Dr. Wallis, and others; are hereby Explained, Demonstrated, and made Intelligible to mean Capacities. 3. A Learner, in a Month or Six Weeks, may know more in Arithmetic and Geometry, by help of this Analyticss, than 'tis possible he should Ever comprehend by any other Method. 4. YOUTH, about Twelve or Thirteen Years old, by taking one or two Lessons a day, do in a short time become good Proficients therein. ☞ And the Truth of this Assertion will be evident to any that shall please to come and see ●●ose Youths, which are Boarded and Taught in the Author's House. 5. This only true and solid Learning clears and satisfies the Understanding, leaving it fully convinced, and without scruple; And consequently 'tis the most proper and effectual means to settle the Mind, and fix Reason in Youth. 6. So much of this Learning as is once understood, cannot be forgotten, by reason of the Demonstration that goes along with it. The Professor of this Excellent and Ancient Learning, may be heard of at Mr. Warner's a Mathematical Instrument-maker, in little Lincolns-Inn Fields, at the Sign of the Kings-Arms and Globe, near Lincolns-Inn Gate: or at his House in Fanchurchstreet, London. The Nobility and Gentry are Taught at their own Houses. By John Ward.