The young algebraist's companion [electronic resource] : or, a new and easy guide to algebra; Introduced by the Doctrine of Vulgar Fractions: Designed for the Use of Schools, and such who, by their own Application only, would become acquainted with the Rudiments of this noble Science: Illustrated with Variety of numerical and literal Examples, and attempted in natural and familiar Dialogues, in order to render the Work more easy and diverting to those that are quite unacquainted with Fractions and the Analytic Art. With AN Appendix On the Rudiments of Quadratic Equations, with several practical Problems, setting forth the Manner of compleating the Square, and extracting the Roots of Powers: Also new and easy geometrical Definition of the Difference between the solid Content of the Cylinder, and the Parallelopiped proved by the Pen. By Daniel Fenning, Late of the Royal Exchange Assurance Office, and Author of the Royal English Dictionary; The British Youth's Instructor; The Young Man's Book of Knowledge; The Ready Reckoner, being correct Tables ready cast up; and A New Grammar of the English Language. The fifth edition. To which is now added, a supplement, Containing the Methods of exterminating two, three, or more unknown Quantities out of an Equation; some further Observations on Quadratics, &c. By the Rev. John Hellins, Of Green's-Norton, in Northamptonshire; formerly an Astronomical Observer at Greenwich.