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 4
... cutting the given line also in D ; draw the dia- meter DCE , and join EA ; then shall EA be the perpendicu- lar . Plate 2. fig . 20 . PRO PROBLEM IV . To erect a perpendicular from a given ( 4 ) Geometrical Problems,
... cutting the given line also in D ; draw the dia- meter DCE , and join EA ; then shall EA be the perpendicu- lar . Plate 2. fig . 20 . PRO PROBLEM IV . To erect a perpendicular from a given ( 4 ) Geometrical Problems,
Página 10
... shall pass through A , B , C . Plate 3. fig . 38 . PROBLEM XXII . A fegment of a circle being given , to describe the circle of which it is the segment . Draw AC the chord , and bisect it at right angles by BD ; then join AB , and make ...
... shall pass through A , B , C . Plate 3. fig . 38 . PROBLEM XXII . A fegment of a circle being given , to describe the circle of which it is the segment . Draw AC the chord , and bisect it at right angles by BD ; then join AB , and make ...
Página 11
... shall the triangle FCG be equal to the given figure ABCDE , Plate 3. fig . 42 . PROBLEM XXVI . To divide the area of a given circle into any number of equal parts , by concentric circles , suppose into three equal parts . Divide the ...
... shall the triangle FCG be equal to the given figure ABCDE , Plate 3. fig . 42 . PROBLEM XXVI . To divide the area of a given circle into any number of equal parts , by concentric circles , suppose into three equal parts . Divide the ...
Página 12
... the points 10 , 20 , 30 , & c . in the quadrant BD , drop , perpendiculars upon the diameter AB ; transfer the perpendi- culars • The degrees are numbered from B to D. culars to DC ; so shall DC be a line 12 GEOMETRICAL PROBLEMS .
... the points 10 , 20 , 30 , & c . in the quadrant BD , drop , perpendiculars upon the diameter AB ; transfer the perpendi- culars • The degrees are numbered from B to D. culars to DC ; so shall DC be a line 12 GEOMETRICAL PROBLEMS .
Página 13
... shall DC be a line of fines , and CB a line of versed fines . From the centre C , draw straight lines through each division in the quadrant BD , to meet the tangent BT ; so shall BT be a line of tangents . From the centre C , with the ...
... shall DC be a line of fines , and CB a line of versed fines . From the centre C , draw straight lines through each division in the quadrant BD , to meet the tangent BT ; so shall BT be a line of tangents . From the centre C , with the ...
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...