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 Seiten |
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Seite 209
... transverse , and fasten its ends each to a pin , then stretch the ftring with a pencil , and move it round within the thread , fo fhall its path defcribe an ellipfe . Ee When When the tranfverfe and conjugate diameters are given , the ...
... transverse , and fasten its ends each to a pin , then stretch the ftring with a pencil , and move it round within the thread , fo fhall its path defcribe an ellipfe . Ee When When the tranfverfe and conjugate diameters are given , the ...
Seite 210
... transverse AB , and conju- gate CD so as they may bisect each other at right angles in the point E , and with the distance AE or EB , and centre C or D , defcribe arches , cutting the tranfverfe in the points x y , fo fhall x and y be ...
... transverse AB , and conju- gate CD so as they may bisect each other at right angles in the point E , and with the distance AE or EB , and centre C or D , defcribe arches , cutting the tranfverfe in the points x y , fo fhall x and y be ...
Seite 214
... transverse . Anf . 3 . PROBLEM VI . The tranfverfe , ordinate , and abfciffa being given , to find the con jugate . RULE . As the fquare root of the products of the two abfciffas Is to the ordinate , So is the tranfverfe To the ...
... transverse . Anf . 3 . PROBLEM VI . The tranfverfe , ordinate , and abfciffa being given , to find the con jugate . RULE . As the fquare root of the products of the two abfciffas Is to the ordinate , So is the tranfverfe To the ...
Seite 215
... transverse 90 , the ordinate 12 , and the abscissa 18 , required the conjugate diameter . Anf . 30 . Ex . 3. The tranfverfe 105 , the ordinate 14 , and the abfciffa 84 , it is required to find the conjugate . Anf . 35- Anf . 1 . Ev , 4 ...
... transverse 90 , the ordinate 12 , and the abscissa 18 , required the conjugate diameter . Anf . 30 . Ex . 3. The tranfverfe 105 , the ordinate 14 , and the abfciffa 84 , it is required to find the conjugate . Anf . 35- Anf . 1 . Ev , 4 ...
Seite 217
... transverse , whose height is 6 , the diameters being 30 and 20 . Anf . 118 9008 . Ex . 4. Required the area of an elliptical fegment , cut off pa- rallel to the tranfverfe , whofe height is 10 , the diameters be- ing 70 and 50 . A f ...
... transverse , whose height is 6 , the diameters being 30 and 20 . Anf . 118 9008 . Ex . 4. Required the area of an elliptical fegment , cut off pa- rallel to the tranfverfe , whofe height is 10 , the diameters be- ing 70 and 50 . A f ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 3 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Seite 232 - E, is equal to twice as many right angles as the figure has sides, less four right angles.
Seite 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.
Seite 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.
Seite 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...
Seite 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.
Seite 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...
Seite 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...