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 x
... fine of an Arch , To find the Tangent and Co - tangent of an Arch , To find the Secant and Co - fecant of an Arch , To find the Area of Lunes , SOLIDS , 163 166 168 169 172 To find the Superficies of a Cube , To find the Solidity of a ...
... fine of an Arch , To find the Tangent and Co - tangent of an Arch , To find the Secant and Co - fecant of an Arch , To find the Area of Lunes , SOLIDS , 163 166 168 169 172 To find the Superficies of a Cube , To find the Solidity of a ...
Σελίδα 28
... fine of that arch . Thus , EH is the fine of the arch ED , or of the angle ECD . 4. The fegment of the diameter intercepted between the fine and extremity of an arch , is called the verfed fine of that arch . Thus , HD is the verfed ...
... fine of that arch . Thus , EH is the fine of the arch ED , or of the angle ECD . 4. The fegment of the diameter intercepted between the fine and extremity of an arch , is called the verfed fine of that arch . Thus , HD is the verfed ...
Σελίδα 29
... fine and fecant of any arch . Corol . 3. Because the triangles BKC , GCD are fimilar , GD : DC ( = CB ) :: CB : BK . Hence , In words , The radius is a mean proportional between the tangent and co - tangent of any arch . Note , The ...
... fine and fecant of any arch . Corol . 3. Because the triangles BKC , GCD are fimilar , GD : DC ( = CB ) :: CB : BK . Hence , In words , The radius is a mean proportional between the tangent and co - tangent of any arch . Note , The ...
Σελίδα 30
... fine of the oppofite angle ABC ; and if either fide , BA be made radius , the other leg AC will be the tangent of the oppofite angle ABC , and the hypothenufe BC , the fecant of the fame angle . With the centre B , and radii BC , BA ...
... fine of the oppofite angle ABC ; and if either fide , BA be made radius , the other leg AC will be the tangent of the oppofite angle ABC , and the hypothenufe BC , the fecant of the fame angle . With the centre B , and radii BC , BA ...
Σελίδα 32
... fine of angle A , and AB fine angle C. Hence the following proportions . To find BC . As fiffe C 59 ° 20 ' is to AB , 300 , So fine A 30 ° 40 ′ - · 2.47712 To find AC . 9.93457 As fine C 59 ° 20 ' - 9.93457 is to AB 300 - 2.47712 ...
... fine of angle A , and AB fine angle C. Hence the following proportions . To find BC . As fiffe C 59 ° 20 ' is to AB , 300 , So fine A 30 ° 40 ′ - · 2.47712 To find AC . 9.93457 As fine C 59 ° 20 ' - 9.93457 is to AB 300 - 2.47712 ...
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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...