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 |
Dentro del libro
Resultados 1-5 de 32
Página 20
... and cannot , therefore , according to our plan , be introduced here . We shall subjoin the process for obtaining the logarithm of 9 , as derived from progression . Geo . Here because the 9 lies between 1 = A , 20 LOGARITHMS .
... and cannot , therefore , according to our plan , be introduced here . We shall subjoin the process for obtaining the logarithm of 9 , as derived from progression . Geo . Here because the 9 lies between 1 = A , 20 LOGARITHMS .
Página 22
... because the 9 lies between 1 = A , and 10B , find a mean proportional C between them , and the logarithm of the fame , is half the fum of the two last logarithms . In like manner , is found , a mean proportional D between B and C ...
... because the 9 lies between 1 = A , and 10B , find a mean proportional C between them , and the logarithm of the fame , is half the fum of the two last logarithms . In like manner , is found , a mean proportional D between B and C ...
Página 29
... Because the triangles BKC , GCD are similar , GD : DC ( = CB ) :: CB : BK . Hence , In words , The radius is a mean proportional between the tangent and co - tangent of any arch . Note , The least possible secant , the tangent of 45 ...
... Because the triangles BKC , GCD are similar , GD : DC ( = CB ) :: CB : BK . Hence , In words , The radius is a mean proportional between the tangent and co - tangent of any arch . Note , The least possible secant , the tangent of 45 ...
Página 30
... because any one of the three fides may be called the radius , any of the fides required , may be obtained by three analogies or varicties . N. B. All the varieties which can occur in the folution of right angled triangles , may be ...
... because any one of the three fides may be called the radius , any of the fides required , may be obtained by three analogies or varicties . N. B. All the varieties which can occur in the folution of right angled triangles , may be ...
Página 37
... Because the triangles ADB , AEB , are right angled triangles , the fide AD becomes the fine of the angle ABD , and BE the fine of the angle BAE ; if AB the hypothenuse , com- mon to both the triangles , be made the radius ; but the two ...
... Because the triangles ADB , AEB , are right angled triangles , the fide AD becomes the fine of the angle ABD , and BE the fine of the angle BAE ; if AB the hypothenuse , com- mon to both the triangles , be made the radius ; but the two ...
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...