A Complete Treatise on Practical Mathematics: Including the Nature and Use of Mathematical Instruments: Logarithmic Tables, Trigonometry, Mensuration of Heights and Distances,--of Surfaces & Solids, Land Surveying, Gunnery, Gauging, Artificer's Measuring, Miscellaneous Exercises. With an Appendix on Algebra ... Principally Designed for the Use of Schools and Academies
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acres alſo altitude amplitude angle Anſ arch axis balls baſe body breadth broad called centre chord circle circumference Co-line Co-tang column conjugate contained cube cubic depth deſcribe diameter difference direction diſtance divide diviſor draw elevation equal EXAMPLE fall feet fides field figure find the area fine firſt fixed give given greater half height inches laſt length leſs logarithm malt buſhels mean meaſure method middle miles multiply object parallel perpendicular pile plane Plate PROBLEM proportion quantity quotient radius remainder Required the area Required the folidity right angles RULE ſame Secant ſecond ſegment ſide Sine ſolidity ſquare ſquare root ſubtract ſum ſurface TABLE Tang tangent term theſe tranſverſe tree triangle twice verſed whoſe whoſe length wine gallons yards
Page 27 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Page 3 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 226 - E, is equal to twice as many right angles as the figure has sides, less four right angles.
Page 1 - ... common to the two triangles AFE, BFE, there are two sides in the one equal to two sides in the other, each to each ; and the base EA is equal to the base EB ; (i.
Page 38 - BG; that is, the fum of the fides is to their difference, as the tangent of half the fum of the angles at the bafe to the tangent of half their difference.
Page 366 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained...
Page 38 - AB the greater side for a distance, let a circle be described, meeting AC, produced in E, F, and BC in D; join DA, EB, FB; and draw FG parallel to BC, meeting EB in G. The angle EAB (32.
Page 38 - ACB (32. 1.) is equal to the angles CAD and ADC, or ABC together ; therefore FAD is the difference of the angles at the...
Page 389 - TO divide a given ftraight line into two parts, fo that the rectangle contained by the whale, and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given ftraight line; it is required to divide it into two parts, fo that the rectangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part. Upon AB...