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 Academies |
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Page x
... Verfed Sines , to every Degree and Minute of the Quadrant , A Table of Logarithmic Sines , Tangents , and Secants , for every Point , half Point , and Quarter Point of the Mariners Compass , SURFACES , 65 73 118 113 Duodecimals , 114 To ...
... Verfed Sines , to every Degree and Minute of the Quadrant , A Table of Logarithmic Sines , Tangents , and Secants , for every Point , half Point , and Quarter Point of the Mariners Compass , SURFACES , 65 73 118 113 Duodecimals , 114 To ...
Page 13
... verfed fines . From the centre C , draw ftraight lines through each division in the quadrant BD , to meet the tangent BT ; fo fhall BT be a line of tangents . From the centre C , with the distances of each of the lines which meet the ...
... verfed fines . From the centre C , draw ftraight lines through each division in the quadrant BD , to meet the tangent BT ; fo fhall BT be a line of tangents . From the centre C , with the distances of each of the lines which meet the ...
Page 28
... verfed fine of that arch . Thus , HD is the verfed fine of the arch ED , or of the angle ECD . 5. A ftraight line paffing through D , one extremity of an arch , and meeting the diameter produced through E , the other extremity , is ...
... verfed fine of that arch . Thus , HD is the verfed fine of the arch ED , or of the angle ECD . 5. A ftraight line paffing through D , one extremity of an arch , and meeting the diameter produced through E , the other extremity , is ...
Page 67
... 00000 18 1.25527 38 1.57978 19 1.27875 391.5910 20 / 1.30105 40 1.6020 I 2 3 7 100 0000000043 00087 00130 00173 00217 LOGARITHMIC TABLES ; A Table of Logarithmic Sines, Tangents, Secants, Verfed Sines, to every Degree and Minute of.
... 00000 18 1.25527 38 1.57978 19 1.27875 391.5910 20 / 1.30105 40 1.6020 I 2 3 7 100 0000000043 00087 00130 00173 00217 LOGARITHMIC TABLES ; A Table of Logarithmic Sines, Tangents, Secants, Verfed Sines, to every Degree and Minute of.
Page 149
... verfed fine ; then multiply the remainder by the verfed fine , and twice the fquare root of the product will be the chord of the arch . RULE II . From the fquare of the radius fubtract the fquare of the dif ference between it and the verfed ...
... verfed fine ; then multiply the remainder by the verfed fine , and twice the fquare root of the product will be the chord of the arch . RULE II . From the fquare of the radius fubtract the fquare of the dif ference between it and the verfed ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 3 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 232 - E, is equal to twice as many right angles as the figure has sides, less four right angles.
Page 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.
Page 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.
Page 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...
Page 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.
Page 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...
Page 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...