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 xi
... Parabola , - 217 Of the Parabola and its parts , 218 To defcribe an Hyperbola , 222 Of the Hyperbola and its parts , 223 LAND SURVEYING , 245 To find the Content of a Field , - 248 Of dividing or laying out of Ground , - 273 GUNNERY ...
... Parabola , - 217 Of the Parabola and its parts , 218 To defcribe an Hyperbola , 222 Of the Hyperbola and its parts , 223 LAND SURVEYING , 245 To find the Content of a Field , - 248 Of dividing or laying out of Ground , - 273 GUNNERY ...
Página 208
... parabola , the kyperbola , and the triangle . DEFINITIONS . 1. The fection is a circle , when the cone is cut parallel to the bafe . 2. If the section is obliquely to the base , it will form an el- lipfe . Fig . 102 . 3. If the plane ...
... parabola , the kyperbola , and the triangle . DEFINITIONS . 1. The fection is a circle , when the cone is cut parallel to the bafe . 2. If the section is obliquely to the base , it will form an el- lipfe . Fig . 102 . 3. If the plane ...
Página 209
... parabola is a right line drawn from the vertex , so as to divide the figure into two equal parts . 13. The transverse diameter of an hyperbola is that part of the axis , intercepted between the vertices of the opposite sec- tions ...
... parabola is a right line drawn from the vertex , so as to divide the figure into two equal parts . 13. The transverse diameter of an hyperbola is that part of the axis , intercepted between the vertices of the opposite sec- tions ...
Página 217
... parabola , the abscissa and ordinate to the axle being gi ven . RULE . Bifect the given ordinate BA in G , join VG , and draw GD at right angles to VG , meeting the axis in D , and make VO , OF , each equal to BD , and F will be the ...
... parabola , the abscissa and ordinate to the axle being gi ven . RULE . Bifect the given ordinate BA in G , join VG , and draw GD at right angles to VG , meeting the axis in D , and make VO , OF , each equal to BD , and F will be the ...
Página 219
... abscissa is 8 , and the ordinate 16 . Anf . 36.951 . Ex . 3. Required the length of the curve , when the abscisla is 15 , and ordinate 12 . Ff2 Anf . 21.071 . PROBLEM PROBLEM XII . To find the area of a parabola CONIC SECTIONS . 219.
... abscissa is 8 , and the ordinate 16 . Anf . 36.951 . Ex . 3. Required the length of the curve , when the abscisla is 15 , and ordinate 12 . Ff2 Anf . 21.071 . PROBLEM PROBLEM XII . To find the area of a parabola CONIC SECTIONS . 219.
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...