A Treatise of Practical Mathematics, Part 2W. & R. Chambers, 1842 |
From inside the book
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Page 6
... perpendicular to the plane of the bars . There are narrow slits at A and C , to which the eye is applied , and wider openings at B and D , with a fine wire fixed vertically in the middle of them . The cross is supported on a staff E ...
... perpendicular to the plane of the bars . There are narrow slits at A and C , to which the eye is applied , and wider openings at B and D , with a fine wire fixed vertically in the middle of them . The cross is supported on a staff E ...
Page 14
... perpendicular BV on AC , and mea- suring it , the area of triangle ABC is AC BV ; and in a similar manner the areas of the other principal triangles are found . TO SURVEY WITH THE CHAIN , CROSS , AND THEODOLITE . 24. Although it ...
... perpendicular BV on AC , and mea- suring it , the area of triangle ABC is AC BV ; and in a similar manner the areas of the other principal triangles are found . TO SURVEY WITH THE CHAIN , CROSS , AND THEODOLITE . 24. Although it ...
Page 18
... perpendicular to the edges of the frame ; and the edges of the other side are divided into degrees corresponding to a central point on the board for the purpose of measuring angles . A magnetic compass box , C , is fixed to one side of ...
... perpendicular to the edges of the frame ; and the edges of the other side are divided into degrees corresponding to a central point on the board for the purpose of measuring angles . A magnetic compass box , C , is fixed to one side of ...
Page 23
... perpendicular upon it from the opposite corner is 1240 links ; it is required to cut off a triangular portion from it , by a line drawn from the same angle to this side , so that its contents shall be 5 acres 16 poles . a = 5 ac . 0 ro ...
... perpendicular upon it from the opposite corner is 1240 links ; it is required to cut off a triangular portion from it , by a line drawn from the same angle to this side , so that its contents shall be 5 acres 16 poles . a = 5 ac . 0 ro ...
Page 24
Andrew Bell. side of the triangle being 1280 links , and the perpendicular on it , from the opposite corner , 750 . Ans . Length of base 320 links . 38. PROBLEM XI . - To cut off any portion from a tri- angular field , by a line drawn ...
Andrew Bell. side of the triangle being 1280 links , and the perpendicular on it , from the opposite corner , 750 . Ans . Length of base 320 links . 38. PROBLEM XI . - To cut off any portion from a tri- angular field , by a line drawn ...
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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 sinē 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...