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 210
... elliptic curve . RULE . Multiply the sum of the transverse and conjugate diameters by 3.1416 , and half the product will be the circumference nearly . EXAMPLE I. Required the length of an elliptic curve , whose conjugate is 40 and ...
... elliptic curve . RULE . Multiply the sum of the transverse and conjugate diameters by 3.1416 , and half the product will be the circumference nearly . EXAMPLE I. Required the length of an elliptic curve , whose conjugate is 40 and ...
Página 216
... elliptic fegment , whose base is parallel to either of the axis . RULE . Divide the height of the fegment by that axe of the ellipfe of which it is a part , and find , in the table of circular segments , an area , whose versed sine ...
... elliptic fegment , whose base is parallel to either of the axis . RULE . Divide the height of the fegment by that axe of the ellipfe of which it is a part , and find , in the table of circular segments , an area , whose versed sine ...
Página 217
... elliptic segment , cut off pa- rallel to the conjugate , at the distance of 18 from the centre , the axis being 60 and 20 . Ans . 134.1876 . Ex . 3. Required the area of an elliptical segment , cut off pa- rallel to the transverse ...
... elliptic segment , cut off pa- rallel to the conjugate , at the distance of 18 from the centre , the axis being 60 and 20 . Ans . 134.1876 . Ex . 3. Required the area of an elliptical segment , cut off pa- rallel to the transverse ...
Página 236
... elliptic spindle ACBD , the length AB being 40 , the greatest diameter CD 12 , and the diameter CF at the length , 9.49546 . 1. To find the central distance and axis of the ellipfe . 4 times EF = 37.98184 3 times CD2 = 432.0000 3 times ...
... elliptic spindle ACBD , the length AB being 40 , the greatest diameter CD 12 , and the diameter CF at the length , 9.49546 . 1. To find the central distance and axis of the ellipfe . 4 times EF = 37.98184 3 times CD2 = 432.0000 3 times ...
Página 237
... elliptic segment , CH = 30 ) 6 = CG .2 tabular versed fine . 111823 tabular corresponding area . 50 = IK the transverse . 5-591150 30 167.734500 area of the generating segment ABC . 3. To find the folidity of the spindle . 167-7345 237 ...
... elliptic segment , CH = 30 ) 6 = CG .2 tabular versed fine . 111823 tabular corresponding area . 50 = IK the transverse . 5-591150 30 167.734500 area of the generating segment ABC . 3. To find the folidity of the spindle . 167-7345 237 ...
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...