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 AcademiesBell and Bradfute, 1792 - 431 páginas |
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Página 2
... opposite sides only are equal , but its angles not right angles . Plate 1. fig . 13 . 29. A trapezium is a four - fided figure , which has none of its fides parallel . Plate 1. fig . 14 . 30. A trapezoid is a quadrilateral figure , with ...
... opposite sides only are equal , but its angles not right angles . Plate 1. fig . 13 . 29. A trapezium is a four - fided figure , which has none of its fides parallel . Plate 1. fig . 14 . 30. A trapezoid is a quadrilateral figure , with ...
Página 6
... opposite points of divifion by ftraight lines , passing through AB , and they will divide AB as required . Plate 2. fig . 26 . PROBLEM X. To find a fourth proportional to three given lines . MAKE any angle ABC : Set off the first term ...
... opposite points of divifion by ftraight lines , passing through AB , and they will divide AB as required . Plate 2. fig . 26 . PROBLEM X. To find a fourth proportional to three given lines . MAKE any angle ABC : Set off the first term ...
Página 15
... opposite to one of them being given , to find the other angles and the third fide . Given AB = 26 AC = 39.42 Ang . B = 91 ° 15 ' ) Required ang . A ang . C and BC . Draw the bafe AB equal 26 , and at the point B make an angle of 91 ° 15 ...
... opposite to one of them being given , to find the other angles and the third fide . Given AB = 26 AC = 39.42 Ang . B = 91 ° 15 ' ) Required ang . A ang . C and BC . Draw the bafe AB equal 26 , and at the point B make an angle of 91 ° 15 ...
Página 22
... opposite to it in the adjacent column , under ; but if the number exceed 1000 , and is less than 10000 , find the three highest figures in the column of num- bers , and in the fame line , titled by the unit at the top , is the logarithm ...
... opposite to it in the adjacent column , under ; but if the number exceed 1000 , and is less than 10000 , find the three highest figures in the column of num- bers , and in the fame line , titled by the unit at the top , is the logarithm ...
Página 30
... opposite angles : but if either of the legs be made radius , the other leg becomes the tangent of the oppofite angle , and the bypothenuse becomes the fecant of the fame angle . Fig . 51. plate 3 . LET ABC be a right angled triangle ...
... opposite angles : but if either of the legs be made radius , the other leg becomes the tangent of the oppofite angle , and the bypothenuse becomes the fecant of the fame angle . Fig . 51. plate 3 . LET ABC be a right angled triangle ...
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 3 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 220 - E, is equal to twice as many right angles as the figure has sides, less four right angles.
Página 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.
Página 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.
Página 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...
Página 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.
Página 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...
Página 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...