## 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 |

### From inside the book

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**plate**1. fig . 2 . N. B. When two lines , AB , and BC , meet in any point , B , the angle , may be expreffed by ...**plate**1. fig . 3 . 12. An angle which is less than a right angle , is called an acute angle . See**plate**1. fig . 4 ... Page 2

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**Plate**1. fig . 5 . 14. A figure is that which is inclosed by one or more boun- daries . 15. A triangle is bounded by ...**Plate**1. fig . 6 . 19. An ifofceles triangle is that which has two of its fides equal .**Plate**1. fig . 7 . 20 ... Page 3

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**Plate**1. fig . 17 . 33. The centre of a circle is a point A , within the figure , equidistant from every point in the circumference . 34. The radius of a circle is the distance between the centre and circumference . 35. The diameter of ... Page 4

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**Plate**1. fig . 18 . PROBLEM II . To bifect any given line AB into two 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 same radius , describe another arch ... Page 5

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**Plate**2. fig . 21 . PROBLEM V. From a given point C , to drop a perpendicular upon a given line AB . On C , the given point , as centre , with any convenient di- stance , sweep an arch , cutting the given line in the points D , E ; and ...### Common terms and phrases

abfciffa abſciſſa acres alſo altitude amplitude bafe becauſe breadth centre chord of half circle circumference Co-tan column conjugate conſequently correſponding cubic deſcribe diſt diſtance divided elliptic equal EXAMPLE fame feet fide fimilar find the area find the folidity firſt fruſtum fubtract furface given half the arch horizontal houſe hyperbola inches inſtrument leſs logarithm malt buſhels meaſure multiply the ſum object obſerved off-fets oppoſite ordinate parabola perpendicular plane Plate PROBLEM quotient radius 90 rectangle Required the area Required the folidity rhombus right angles RULE ſame ſay Secant Co-fec ſecond ſegment ſhadow ſhall ſolidity ſpaces ſphere ſpheroid ſpindle ſquare root ſquare yards ſtaff ſtation ſteeple ſtraight line ſuch ſum ſuperficies tangent theodolite theſe tranſverſe trapezium triangle uſed verſed ſine whoſe baſe whoſe diameter whoſe height whoſe length whoſe ſide wine gallons Το

### 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 103 - 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 220 - 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 352 - 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 375 - 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...