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 22
... sum of the logarithms of B and C ; fo in the 18th step of this procefs , the logarithm of 9 , is found to be 0,954242 . When the logarithms of prime numbers are thus calculated , the bufinefs becomes easier ; for the logarithms of ...
... sum of the logarithms of B and C ; fo in the 18th step of this procefs , the logarithm of 9 , is found to be 0,954242 . When the logarithms of prime numbers are thus calculated , the bufinefs becomes easier ; for the logarithms of ...
Página 29
... sum of the other two from 180 ° . When one angle of a triangle is given , the sum of the other two may be found , by fubtracting the given angle from 180 ° . When one angle of a triangle is a right - angle , the other two are acute ...
... sum of the other two from 180 ° . When one angle of a triangle is given , the sum of the other two may be found , by fubtracting the given angle from 180 ° . When one angle of a triangle is a right - angle , the other two are acute ...
Página 39
... sum of the fides , as the difference of the fides , is to the difference of the fegments of the base , made by the perpendicular upon it from the vertex . Fig . 55. plate 4 . LET ABC be a plane triangle , if from B the vertex a perpen ...
... sum of the fides , as the difference of the fides , is to the difference of the fegments of the base , made by the perpendicular upon it from the vertex . Fig . 55. plate 4 . LET ABC be a plane triangle , if from B the vertex a perpen ...
Página 44
... of the differences of the two other fides and half fum ; and half their fum will be the tangent of half the angle re- quired . Thus , let angle A be required : 80 60 100 sum ) 240 fum 120 half fum 80 44 TRIGONOMETRY .
... of the differences of the two other fides and half fum ; and half their fum will be the tangent of half the angle re- quired . Thus , let angle A be required : 80 60 100 sum ) 240 fum 120 half fum 80 44 TRIGONOMETRY .
Página 45
... sum ) 240 fum 120 half fum 120 the dif . bet . 80 & 120 40 Complement Complement 7.92082 8.39794 the other differences { 60 20 Log . Log . - - 1.77815 · 1.30103 2 ) 19.39794 Tangent of 26 ° 34 ′ 9.69897 53 ° 8 ' The angle CAB . The ...
... sum ) 240 fum 120 half fum 120 the dif . bet . 80 & 120 40 Complement Complement 7.92082 8.39794 the other differences { 60 20 Log . Log . - - 1.77815 · 1.30103 2 ) 19.39794 Tangent of 26 ° 34 ′ 9.69897 53 ° 8 ' The angle CAB . The ...
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Términos y frases comunes
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
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 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.
Página 3 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 232 - 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 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...
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 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...