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 47
... trees , & c . inacceffible ones are all mountains , celeftial bodies , alfo houfes and trees , in certain fituations . PROBLEM I. See Plate 4. fig . 58 . To measure acceffible heights . EXAMPLE I. Let AB be a horizontal plane and BC a ...
... trees , & c . inacceffible ones are all mountains , celeftial bodies , alfo houfes and trees , in certain fituations . PROBLEM I. See Plate 4. fig . 58 . To measure acceffible heights . EXAMPLE I. Let AB be a horizontal plane and BC a ...
Página 52
... tree 70 feet high , I took the angle of de- preffion of two other trees , lying directly in a straight line from me , and on the fame horizontal plane with the tree on which I then stood , viz . that of the nearer 36 ° , and of the ...
... tree 70 feet high , I took the angle of de- preffion of two other trees , lying directly in a straight line from me , and on the fame horizontal plane with the tree on which I then stood , viz . that of the nearer 36 ° , and of the ...
Página
... tree , & t . approach towards or retire from the object , till it fubtends an angle of 45 ° ; then fhall the height of the object be equal to its horizontal diftance . Euclid , I. 6 . A fimilar obfervation may be made of the other ...
... tree , & t . approach towards or retire from the object , till it fubtends an angle of 45 ° ; then fhall the height of the object be equal to its horizontal diftance . Euclid , I. 6 . A fimilar obfervation may be made of the other ...
Página 64
... tree , & t . approach towards or retire from the object , till it fubtends an angle of 45 ° ; then fhall the height of the object be equal to its horizontal diftance . Euclid , I. 6 . A fimilar obfervation may be made of the other ...
... tree , & t . approach towards or retire from the object , till it fubtends an angle of 45 ° ; then fhall the height of the object be equal to its horizontal diftance . Euclid , I. 6 . A fimilar obfervation may be made of the other ...
Página 66
... tree , & c . approach towards or retire from the object , till it fubtends an angle of 45 ° ; then fhall the height of the object be equal to its horizontal diftance . Euclid , I. 6 . A fimilar obfervation may be made of the other ...
... tree , & c . approach towards or retire from the object , till it fubtends an angle of 45 ° ; then fhall the height of the object be equal to its horizontal diftance . Euclid , I. 6 . A fimilar obfervation may be made of the other ...
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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...