A Treatise of Practical Mathematics, Part 2W. & R. Chambers, 1842 |
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Page 22
... poles , its length is 1500 links , and breadth 725 links ; it is required to cut off a part from it of the contents of 2 acres 28 poles by a line parallel to its side . A 10 ac . 3 ro . 20 pls . = 1087500 links = 217500 ... a = 2 ac . 0 ...
... poles , its length is 1500 links , and breadth 725 links ; it is required to cut off a part from it of the contents of 2 acres 28 poles by a line parallel to its side . A 10 ac . 3 ro . 20 pls . = 1087500 links = 217500 ... a = 2 ac . 0 ...
Page 23
... poles , by a line parallel to one of its ends ; what is the length of this part ? Ans . 500 links . 37. PROBLEM X ... poles . a = 5 ac . 0 ro . 16 pls . = 510000 links 2a 1020000 Hence , / = = h 1240 = 822.6 links = AP . EXERCISE . Cut ...
... poles , by a line parallel to one of its ends ; what is the length of this part ? Ans . 500 links . 37. PROBLEM X ... poles . a = 5 ac . 0 ro . 16 pls . = 510000 links 2a 1020000 Hence , / = = h 1240 = 822.6 links = AP . EXERCISE . Cut ...
Page 24
... poles , the side AB is 1525 links ; required the length of AD , so that the triangle ADE shall contain 2 acres I rood 10 poles . A5 ac . 2 ro . 15 pls . - 559375 links a = 2 ac . 1 ro . 10 pls . = 231250 Hence , α S√1525 √ 231250 ...
... poles , the side AB is 1525 links ; required the length of AD , so that the triangle ADE shall contain 2 acres I rood 10 poles . A5 ac . 2 ro . 15 pls . - 559375 links a = 2 ac . 1 ro . 10 pls . = 231250 Hence , α S√1525 √ 231250 ...
Page 178
... poles as the projecting point . 291. The great circle , upon whose plane the projection is made , is called the ... pole of the primitive BD 178 PRACTICAL MATHEMATICS . PROJECTIONS Definitions, Stereographic Projection of the Sphere,
... poles as the projecting point . 291. The great circle , upon whose plane the projection is made , is called the ... pole of the primitive BD 178 PRACTICAL MATHEMATICS . PROJECTIONS Definitions, Stereographic Projection of the Sphere,
Page 179
Andrew Bell. 294. Let A be the pole of the primitive BD , and MN a circle to be projected ; MN being in the first figure a small circle , and in the second a great circle ; then the point M has A A m En m n B D B D M N с F M for its ...
Andrew Bell. 294. Let A be the pole of the primitive BD , and MN a circle to be projected ; MN being in the first figure a small circle , and in the second a great circle ; then the point M has A A m En m n B D B D M N с F M for its ...
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Common terms and phrases
actual range bastion body breadth bung diameter called cask centre constructed content in imperial cosec cosine course declination deflexion depth dial difference of latitude difference of longitude distance ditch divide divisor draw earth elevation equal EXAMPLE EXERCISES fathoms Find the content flank frustum gauge point glacis hence horizontal hypotenuse imperial bushels imperial gallons impetus inches inclination length logarithms longitude mean diameter measure meridian middle moon's multiply number of balls oblique observed opposite parallax parallel parapet perpendicular pile place of arms plane plane sailing pole potential range preceding primitive PROBLEM projectile projection proportional quadrant quotient radius ravelin redoubt refraction right angle right ascension sailing semi-diameter Severndroog Castle side sidereal sin² sine Sliding Rule small circle specific gravity spherical angle spherical excess spherical triangle spherical trigonometry square sun's surface true altitude ullage velocity vessel weight
Popular passages
Page 196 - Fig. 9. Case 1. Let AB, AC be each less than a quadrant. Let AE, AG be quadrants ; G will be the pole of AB, and E the pole of AC, and EC a quadrant; but, by prop. 12. CE is greater than CB, since CB is farther off from CGD than CE. In the same manner, it is shown...
Page 95 - To the square of the bung diameter add the square of the head diameter ; multiply the sum by the length, and the product again by .0014 for ale gallons, or by .0017 for wine gallons.
Page 96 - RULE. — To the square of the bung diameter add the square of the head diameter ; multiply the sum by the length, and the product by .0014 for ale gallons, or by .0017 for wine gallons.
Page 42 - A magnitude which has length, breadth, and thickness. Solution. The process by which the answer to a question is obtained. Specific gravity of a substance. The ratio of the weight of a given volume of it to that of an equal volume of water.
Page 192 - A sphere is a solid, bounded by one continued convex surface, every point of which is equally distant from a point within, called the centre. The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Page 227 - ZODIAC.— The Zodiac is an imaginary belt, or broad circle, extending quite around the heavens. The ecliptic divides the zodiac into two equal parts, the zodiac extending 8 degrees on each side of the ecliptic, and therefore is 16 degrees wide.
Page 196 - BC will be greater than a quadrant : for let AE be a quadrant, then E is the pole of AC, and EC will be a quadrant. But CB is greater than CE by Prop. 12.
Page 195 - Oj the same affection with the angles opposite to them, that is, if the sides be greater or less than quadrants, the opposite angles will be greater or less than right angles, and conversely.
Page 195 - IN a right angled spherical triangle, the sides are of the same affection with the opposite angles ; that is, if the sides be greater or less than quadrants, the opposite angles will be greater or less than right angles. Let ABC be a spherical triangle right angled at A, any side AB, will be of the same affection with the opposite angle ACB. Case 1.
Page 195 - ... will be greater than a quadrant. Let ABC be a right angled spherical triangle ; according as the two sides AB, AC are of the same or of different affection, the hypotenuse BC will be less, or greater than a quadrant. The...