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
... fide of a right - angled triangle is called the hypothenuse . 23. An acute angled triangle is that whose angles are all a- cute . Plate 1. fig . 10 . 24. An obtuse angled triangle is that which has one obtufe angle . See plate 1. fig ...
... fide of a right - angled triangle is called the hypothenuse . 23. An acute angled triangle is that whose angles are all a- cute . Plate 1. fig . 10 . 24. An obtuse angled triangle is that which has one obtufe angle . See plate 1. fig ...
Página 15
... fide oppofite to one of them ; to find the other fides . AngleC 52 ° 15 ' ) Required AC and BC . Given Angle A 59 ° A B 276.5 Find the supplement of the sum of the two given angles , thus : 59 ° 0′52 ° 15 = 111 ° 15 ′ . And from 180 ...
... fide oppofite to one of them ; to find the other fides . AngleC 52 ° 15 ' ) Required AC and BC . Given Angle A 59 ° A B 276.5 Find the supplement of the sum of the two given angles , thus : 59 ° 0′52 ° 15 = 111 ° 15 ′ . And from 180 ...
Página 16
... fide . Given S AC = 60 BC = 50 Ang . C = 45 ° Required ang . A ang . B and AB . Draw AC equal 60 , and BC equal 50 equal parts , meeting in C at an angle of 45 ° ; then join AB , and it is done : For if you take AB in your compasses ...
... fide . Given S AC = 60 BC = 50 Ang . C = 45 ° Required ang . A ang . B and AB . Draw AC equal 60 , and BC equal 50 equal parts , meeting in C at an angle of 45 ° ; then join AB , and it is done : For if you take AB in your compasses ...
Página 30
... fide AC will be the fine of the oppofite angle ABC ; and if either fide , BA be made radius , the other leg AC will be the tangent of the oppofite angle ABC , and the hypothenuse BC , the fecant of the fame angle . With the centre B ...
... fide AC will be the fine of the oppofite angle ABC ; and if either fide , BA be made radius , the other leg AC will be the tangent of the oppofite angle ABC , and the hypothenuse BC , the fecant of the fame angle . With the centre B ...
Página 31
... fide are given , to find the other two fides . 2d , When two fides and the right angle are given , to find two acute angles and the third side . We come now more fully to shew how each of these pro- blems are folved by logarithms ...
... fide are given , to find the other two fides . 2d , When two fides and the right angle are given , to find two acute angles and the third side . We come now more fully to shew how each of these pro- blems are folved by logarithms ...
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...