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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Αποτελέσματα 1 - 5 από τα 12.
Σελίδα xi
... Parabola , Of the Parabola and its parts , To defcribe an Hyperbola , 187 189 190 192 194 195 196 199 201 203 206 207 2c8 209 210 217 218 222 Of the Hyperbola and its parts , 223 LAND SURVEYING , 245 To find the Content of a Field , 248 ...
... Parabola , Of the Parabola and its parts , To defcribe an Hyperbola , 187 189 190 192 194 195 196 199 201 203 206 207 2c8 209 210 217 218 222 Of the Hyperbola and its parts , 223 LAND SURVEYING , 245 To find the Content of a Field , 248 ...
Σελίδα 208
... parabola , the hyperbola , and the triangle . DEFINITIONS . 1. The fection is a circle , when the cone is cut parallel to the bafe . 2. If the fection is obliquely to the bafe , it will form an el lipfe . Fig . 1c2 . 3. If the plane cut ...
... parabola , the hyperbola , and the triangle . DEFINITIONS . 1. The fection is a circle , when the cone is cut parallel to the bafe . 2. If the fection is obliquely to the bafe , it will form an el lipfe . Fig . 1c2 . 3. If the plane cut ...
Σελίδα 209
... parabola is a right line drawn from the vertex , fo as to divide the figure into two equal parts . 13. The tranfverfe diameter of an hyperbola is that part of the axis , intercepted between the vertices of the opposite sec- tions ...
... parabola is a right line drawn from the vertex , fo as to divide the figure into two equal parts . 13. The tranfverfe diameter of an hyperbola is that part of the axis , intercepted between the vertices of the opposite sec- tions ...
Σελίδα 217
... parabola , the abfciffa and ordinate to the axle being gi- ven . RULE . Bifect the given ordinate BA in G , join VG , and draw GD at right angles to VG , meeting the axis in D , and make VO , OF , each equal to BD , and F will be the ...
... parabola , the abfciffa and ordinate to the axle being gi- ven . RULE . Bifect the given ordinate BA in G , join VG , and draw GD at right angles to VG , meeting the axis in D , and make VO , OF , each equal to BD , and F will be the ...
Σελίδα 218
... the ab- fciffa , multiply this fum by 4 , and the fquare root of the pro- duct will be the length of the curve required . EXAMPLE EXAMPLE I. Let the abfciffa VF be 4 , and CONIC SECTIONS . Of the Parabola and its parts,
... the ab- fciffa , multiply this fum by 4 , and the fquare root of the pro- duct will be the length of the curve required . EXAMPLE EXAMPLE I. Let the abfciffa VF be 4 , and CONIC SECTIONS . Of the Parabola and its parts,
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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...