## The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful [sic] Practice of this Art, with a New Set of Accurate Mathematical Tables |

### From inside the book

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**number**of such parts less**than**the whole , this is called the numerator of a fraction . The numerator , in the vulgar form , is always written over the ...**decimal**fraction , has no effect in changing its value . 12**DECIMAL**FRACTIONS . Page 6

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**number**by the**numbers**that have been considered as**ciphers**:**then**, cut off from the right - hand as**many places**for**decimals**as there are**figures**in the multiplier , and add the product , so obtained , to the**first**logarithm , for the ... Page 8

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**number**, and**then**prefixing to its logarithm a negative characteristic , greater by unity**than**the**number**of**ciphers between**the**decimal point**and 19. To find , in the table , a**number**the**first significant place**of**figures**. DESCRIPTION ...### Other editions - View all

### Common terms and phrases

ABCD acres altitude Answer arch base bearing centre chains and links ciphers circle circumferentor column compasses contained cube root decimal decimal fraction diagonal difference of latitude divided divisions divisor draw east ecliptic edge EXAMPLE feet field-book figure four-pole chains fraction given number half the sum height Hence horizon glass hypothenuse inches instrument latitude and departure length logarithm manner measure meridian distance method multiplied needle nonius number of degrees object observed opposite parallelogram perches perpendicular plane prob proportional protractor quadrant quotient radius rhombus right angles right line rule scale of equal screw secant sect sector semicircle side square root station subtract suppose survey taken tance Tang tangent theo theodolite THEOREM trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence whole number

### Popular passages

Page 173 - In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal...

Page 6 - It is, indeed, evident, that the negative characteristic will always be one greater than the number of ciphers between the decimal point and the first significant figure.

Page 49 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.

Page 163 - RULE. From half the sum of the three sides subtract each side severally.

Page 97 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.

Page 150 - Two ships of war, intending to cannonade a fort, are, by the shallowness of the water, kept so far from it, that they suspect their guns cannot reach it with effect. In order therefore to measure the distance, they separate from each other a quarter of a mile, or 440 yards ; then each ship observes and measures the angle which the other ship and the fort subtends, which angles are 83° 45

Page 35 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.

Page 31 - Then, because the sum of the logarithms of numbers, gives the logarithm of their product ; and the difference of the logarithms, gives the logarithm of the quotient of the numbers ; from the above two logarithms, and the logarithm of 10, which is 1, we may obtain a great many logarithms, as in the following examples : EXAMPLE 3.

Page 101 - The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig.

Page 149 - At 170 feet distance from the bottom of a tower, the angle of its elevation was found to be 52° 30' : required the altitude of the tower ? Ans.