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 σελίδες |
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Σελίδα ix
... Objects , Menfuration of Heights and Distances , 2d , Of inacceffible Objects , To find the Diameter of the Earth by ... Object by a plane Mirror , To find Distances by Sounds , To find the Velocity of the Wind , Heights and Depths ...
... Objects , Menfuration of Heights and Distances , 2d , Of inacceffible Objects , To find the Diameter of the Earth by ... Object by a plane Mirror , To find Distances by Sounds , To find the Velocity of the Wind , Heights and Depths ...
Σελίδα 46
... object is higher than the measurer's eye , it is faid to fub tend an angle of elevation , but when lower , an angle of depreffion . The Theodolite is a femi - circle divided into 180 Menfuration of Heights and Distances,
... object is higher than the measurer's eye , it is faid to fub tend an angle of elevation , but when lower , an angle of depreffion . The Theodolite is a femi - circle divided into 180 Menfuration of Heights and Distances,
Σελίδα 47
... object through ; --- They are fixed perpendicular to the plane of the theodolite , but parallel to the plane of the ... objects are houfes , growing trees , & c . inacceffible ones are all mountains , celeftial bodies , alfo houfes and ...
... object through ; --- They are fixed perpendicular to the plane of the theodolite , but parallel to the plane of the ... objects are houfes , growing trees , & c . inacceffible ones are all mountains , celeftial bodies , alfo houfes and ...
Σελίδα 49
... yards , when I obferved I was higher than the object . I took the angle of depreffion of the mark by the river fide 42 ° 18 ' , of the bottom H bottom of the object 72 ° 8 ' , and HEIGHTS AND DISTANCES . 49 2d, Of inacceffible Objects,
... yards , when I obferved I was higher than the object . I took the angle of depreffion of the mark by the river fide 42 ° 18 ' , of the bottom H bottom of the object 72 ° 8 ' , and HEIGHTS AND DISTANCES . 49 2d, Of inacceffible Objects,
Σελίδα 50
... object 72 ° 8 ' , and of its top 78 ° 20 ' . Requir ed the height and distance of the object . Here , because the angle ABC is 42 ° 18 ′ the angle BAC is 47 ° 42 ; confequently , its fupplement , the angle BAD will be 132 ° 18 . And ...
... object 72 ° 8 ' , and of its top 78 ° 20 ' . Requir ed the height and distance of the object . Here , because the angle ABC is 42 ° 18 ′ the angle BAC is 47 ° 42 ; confequently , its fupplement , the angle BAD will be 132 ° 18 . And ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 3 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 232 - E, is equal to twice as many right angles as the figure has sides, less four right angles.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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...
Σελίδα 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...