A Treatise of Practical Mathematics, Part 2W. & R. Chambers, 1842 |
From inside the book
Results 1-5 of 70
Page 5
... called also Gunter's chain , is 22 yards or 66 feet long , and is composed of 100 equal links , the length of each being 7.92 inches . At every tenth link is a mark made of brass . An acre consists of 10 square chains , or 100,000 ...
... called also Gunter's chain , is 22 yards or 66 feet long , and is composed of 100 equal links , the length of each being 7.92 inches . At every tenth link is a mark made of brass . An acre consists of 10 square chains , or 100,000 ...
Page 6
... called stations , and are denoted by the mark 0 ; thus , o , is the first station ; 0 , the second ; and so on . 1 2 12. The lines joining the stations , and which are mea- sured by the chain , are called chain lines , or station lines ...
... called stations , and are denoted by the mark 0 ; thus , o , is the first station ; 0 , the second ; and so on . 1 2 12. The lines joining the stations , and which are mea- sured by the chain , are called chain lines , or station lines ...
Page 9
... called a field - book , as below . The beginning of the field - book is at the lower end of the table , as this arrangement suggests more readily the direction of the measurements . The middle column of the field - book contains the ...
... called a field - book , as below . The beginning of the field - book is at the lower end of the table , as this arrangement suggests more readily the direction of the measurements . The middle column of the field - book contains the ...
Page 14
... called , a plot , of any surface , the dimensions of which are taken , and reducing the crooked and curved boundaries in the manner stated above , is very common with the best sur- veyors , on account of its expedition and sufficient ...
... called , a plot , of any surface , the dimensions of which are taken , and reducing the crooked and curved boundaries in the manner stated above , is very common with the best sur- veyors , on account of its expedition and sufficient ...
Page 19
... called the fiducial edge , is in the same plane with the sights , and by which lines are drawn on the paper to represent the direction of any object observed through the sights . This rule is graduated to serve as a scale of equal parts ...
... called the fiducial edge , is in the same plane with the sights , and by which lines are drawn on the paper to represent the direction of any object observed through the sights . This rule is graduated to serve as a scale of equal parts ...
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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...