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 |
Dentro del libro
Resultados 1-5 de 44
Página 3
... drawn through the centre , and terminated both ways by the circumference . A is the centre . AB the radius . CD the diameter . Note , The diameter is equal to twice the radius . 36. An arch is any part of the circumference . 37. The ...
... drawn through the centre , and terminated both ways by the circumference . A is the centre . AB the radius . CD the diameter . Note , The diameter is equal to twice the radius . 36. An arch is any part of the circumference . 37. The ...
Página 4
... circle , cutting the given line alfo in D ; draw the dia- meter DCE , and join EA ; then fhall EA be the perpendicu- lar . Plate 2. fig . 20 . PRO- PROBLEM IV . To erect a perpendicular from a given ( 4 ) Geometrical Problems,
... circle , cutting the given line alfo in D ; draw the dia- meter DCE , and join EA ; then fhall EA be the perpendicu- lar . Plate 2. fig . 20 . PRO- PROBLEM IV . To erect a perpendicular from a given ( 4 ) Geometrical Problems,
Página 6
... draw AD at any angle ; and from B draw BC parallel to AD . On each of these parallel lines lay off as many equal parts as AB is to be divided into : Join the oppofite points of division by ftraight lines , paffing through AB , and they ...
... draw AD at any angle ; and from B draw BC parallel to AD . On each of these parallel lines lay off as many equal parts as AB is to be divided into : Join the oppofite points of division by ftraight lines , paffing through AB , and they ...
Página 7
... draw AC parallel to DE ; then EC will be the fourth proportional required . Plate 2. fig . 27 . PROBLEM XI . To find a mean proportional between two given lines , AB , BC . MAKE AC equal ABXBC ; bifect the line AC in the point D , with ...
... draw AC parallel to DE ; then EC will be the fourth proportional required . Plate 2. fig . 27 . PROBLEM XI . To find a mean proportional between two given lines , AB , BC . MAKE AC equal ABXBC ; bifect the line AC in the point D , with ...
Página 9
... DRAW two diagonals to the given square ; at the intersec- tion D drop a perpendicular DE ; on D as centre , with the ... DRAW two diameters , AB , CD , at right angles to each o- ther ; join their extremities for the inscribed square ...
... DRAW two diagonals to the given square ; at the intersec- tion D drop a perpendicular DE ; on D as centre , with the ... DRAW two diameters , AB , CD , at right angles to each o- ther ; join their extremities for the inscribed square ...
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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...