A Treatise of Practical Mathematics, Part 2W. & R. Chambers, 1842 |
From inside the book
Results 1-5 of 43
Page 30
... angle 12 ° 10 ′ gives the bearing of the first chain line ; and as the ... right and left opposite to the number which denotes the distance of the ... right angles , but in another direction , as along a fence , the mark is placed over it ...
... angle 12 ° 10 ′ gives the bearing of the first chain line ; and as the ... right and left opposite to the number which denotes the distance of the ... right angles , but in another direction , as along a fence , the mark is placed over it ...
Page 164
... right is not finished in the figure , for it is exactly similar to the part on the left . Detached Redoubts . 268. A ... angle of the ravelin ( see fig . art . 266 ) . This caponier is 5 or 6 fathoms broad , having a traverse at its ...
... right is not finished in the figure , for it is exactly similar to the part on the left . Detached Redoubts . 268. A ... angle of the ravelin ( see fig . art . 266 ) . This caponier is 5 or 6 fathoms broad , having a traverse at its ...
Page 183
... angle . 1. When the circles containing the given angle are the primitive and a diameter of it . The angle is a right angle . 2. When one of the circles is the primitive , and the other is a circle inclined to it . Let AEB be the ...
... angle . 1. When the circles containing the given angle are the primitive and a diameter of it . The angle is a right angle . 2. When one of the circles is the primitive , and the other is a circle inclined to it . Let AEB be the ...
Page 184
... angle . Draw the radius AC of the circle AIB , and AH perpen- dicular to AFB , and the angle HAC measures the given ... right angle , the diameter AC is evidently the re- quired projection . B F E Ꮐ 2. When the given projected circle is ...
... angle . Draw the radius AC of the circle AIB , and AH perpen- dicular to AFB , and the angle HAC measures the given ... right angle , the diameter AC is evidently the re- quired projection . B F E Ꮐ 2. When the given projected circle is ...
Page 185
... angle LFH = Z = 46 ° , for in- stance ; from the centre H , with the B radius HF , describe the circle IFK ; it is the required projection , and angle I DFK 46 ° . = L K G D C H If the angle be a right angle , G is the centre , and AFC ...
... angle LFH = Z = 46 ° , for in- stance ; from the centre H , with the B radius HF , describe the circle IFK ; it is the required projection , and angle I DFK 46 ° . = L K G D C H If the angle be a right angle , G is the centre , and AFC ...
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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...