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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Page 1
... equal to one another , each of them is a right angle and the ftraight line which falls upon the other is perpendicular to it . See plate 1. fig . 3 . 12. An angle which is lefs than a right angie , is called an acute angle . See plate 1 ...
... equal to one another , each of them is a right angle and the ftraight line which falls upon the other is perpendicular to it . See plate 1. fig . 3 . 12. An angle which is lefs than a right angie , is called an acute angle . See plate 1 ...
Page 2
... equal , and all its angles right angles . See plate 1. fig . 12 . 26. An oblong is that whofe parallel fides only are equal , and all its angles right angles . Plate 1. fig . 13 . 27. A rhombus is that which has all its fides equal ...
... equal , and all its angles right angles . See plate 1. fig . 12 . 26. An oblong is that whofe parallel fides only are equal , and all its angles right angles . Plate 1. fig . 13 . 27. A rhombus is that which has all its fides equal ...
Page 3
... equal . 40. An irregular polygon is a figure whofe fides are not all equal . 41. Polygons receive names according to the number of their fides and angles . Thus , A trigon has 3 fides . A tetragon 4 A pentagon 5 A hexagon 6 A heptagon 7 ...
... equal . 40. An irregular polygon is a figure whofe fides are not all equal . 41. Polygons receive names according to the number of their fides and angles . Thus , A trigon has 3 fides . A tetragon 4 A pentagon 5 A hexagon 6 A heptagon 7 ...
Page 4
... equal parts . Upon B for a centre , with a radius more than the half of AB , defcribe an arch ; and on A for a centre , with the fame radius , defcribe another arch , cutting the former in the points C , D : Join CD , and CD will bifect ...
... equal parts . Upon B for a centre , with a radius more than the half of AB , defcribe an arch ; and on A for a centre , with the fame radius , defcribe another arch , cutting the former in the points C , D : Join CD , and CD will bifect ...
Page 5
... on D , F for centres , defcribe arches of equal radii , cutting each other in E ; join BE , which will bifect the angle ABC . Plate 2. fig . 23 . PRO PROBLEM VII . To trifect a right angle ABC . GEOMETRICAL PROBLEMS . 5.
... on D , F for centres , defcribe arches of equal radii , cutting each other in E ; join BE , which will bifect the angle ABC . Plate 2. fig . 23 . PRO PROBLEM VII . To trifect a right angle ABC . GEOMETRICAL PROBLEMS . 5.
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Common terms and phrases
abfciffa acres againſt alfo alſo altitude amplitude axis bafe baſe becauſe breadth centre chain chord of half circle circumference Co-fec Co-tan column cone conjugate cube defcribe dift diſtance divide divifor elevation Engliſh equal Euclid EXAMPLE fame fecond fegment fhall fimilar find the area find the folidity firſt fquare root fquare yards fruftum ftraight line fubtract fuch fuperficies furface girt given greateſt half the arch height horizontal houſe hypothenufe inftrument laft acquired velocity laſt lefs logarithm malt bufhels meaſure obferved off-fets oppofite ordinate parabolic perpendicular plane Plate quantity quotient rectangle Required the area Required the content Required the folidity rhombus right angles RULE Secant Secant Co-fec ſpace ſphere ſpindle ſquare ſteeple Suppofe tangent theodolite theſe thickneſs tranfverfe trapezium triangle triangular uſed verfed whofe diameter whofe fide whofe length whoſe wine gallons
Popular passages
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 115 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 3 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 232 - 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 372 - 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 395 - 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...