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PREFACE.

(4.) Algebra , signs of addition, subtraction, See. symbols to denote quantities, positive quan-tities, negative quantities, like and unlike quantities, co-efficient, Simple and compound quantities,binomial, residual, trinomial, multinomial, index power, root, dimension, degree, equation, trans-position, substitution, resolution, final equation, pure equation, adfected equation, absolute num-ber, limits of equations, indeterminate problems, infinite series, &c.

(5.) Geometry , lines, surfaces, solids, perpendicular, parallel, right angle, acute angle, ob-tuse angle, figure, triangle, square, rectangle, parallelogram, trapezium, polygon, regular, andirregular, curve, circle, diameter, arc, chord, tangent, secant, segment, semicircle, sector, qua-drant, altitude of a figure, problem, theorem, lemma, corollary, scholium, ratio, multiple, part,equimultiples, antecedent, consequent, mean proportional, inverse ratio, alternate ratio, compoundratio, planes, common section, similar planes, similar solids, prism, cube, pyramid, cylinder, cone,axis, sphere, &c.

(6.) Trigonometry, plane triangle, hypothenuse, legs, measure of an angle, degree, minutes,&c. radius, sine, cosine, versed-sine, co-versed sine, tangent, co-tangent, secant, co-secant, of anarc or angle, complement, supplement, spherical angle, spherical triangle, supplementaltriangle, &c.

(7.) Spherics, projection of the sphere, globe or sphere, circles of the sphere, great circles,small circles, spherical angle, spherical triangle, zones, poles, stereographic, orthographic, andgnomical projections, plane of projection, projecting point, line of measures, primitive circle,right circle, oblique circle, projected poles, angles, &c.

(8.) Conics, or Conic Sections, cone, opposite cones, right cone, oblique cone, ellipse,hyperbola, parabola, opposite hyperbolas, axis of a section, vertex, centre, focus transverse dia-meter, conjugate diameters, ordinate, double ordinate, absciss, parameter, directrix, focal tangent,normal, subnormal, circle of curvature, &c.

(9.) Fluxions, genesis of quantities by motion, flowing quantity of fluent, velocity of thegenerating point, line, or surface; constant quantity, fluxion, second fluxion, third fluxion, &c.notation of fluxions, direct method, inverse method, &c.

(10.) Mensuration . This we rank as the first among the Sciences belonging to the classcalled Mixed Mathematics, because it is the most simple application of pure Mathematics toPhysical subjects. The terms first to be attended to in this Science, will serve for the seven fol-lowing next in the Table, those Sciences, being contained in this; they are as follows, viz. dimen-sions, length, breadth, thickness, inches, feet, yards, &c. long measure, square measure, solidmeasure, area, or superficial content, solidity, or solid content, distance, accessible, inaccessible,angle of elevation and of depression, angle between two objects, or bearing of two objects,station, station line, altitude of objects, &c.; to these may be added the names of the figures tobe measured, which are the same as those in Geometry ; and also the names of the chief instru-ments employed in measuring and planing, as plain scale, Gunter’s scale, sector, protractor,sliding rule, gauging rod, Gunter’s chain, offset staff, plain table, theodolite, circuinventor peram-bulator, semicircle, quadrant, &c.

(18.) Book-keeping. Here we must be acquainted with the terms entry, stock, property,debtor, creditor, account, waste-book, journal, ledger, journalizing, posting, personal accounts,real accounts, fictitious accounts, balance ; with the chief terms appropriated to trade and com-merce.

(10.) Mechanics, with its subordinate Sciences Statics, (20.) and Dynamics, (21.) Tostudy this Science to good effect the learner should pay attention to the general terms noted under

Physics,