## The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |

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6- 2 , denotes that 2 is to be

6- 2 , denotes that 2 is to be

**taken**from 6 . 7 x 3 , or 8.3 , denotes that 7 is to be multiplied by S. 8 • 4 , denotes that 8 is to be divided by 4 . 2 : 3 :: 4 : 6 , shows that 2 is to 3 as 4 is to 6 . 6 + 4 = 10 , shows that the sum ... Page 22

... but if more decimals were wanted , and if their exactness were likewise requisite , the present answer might be

... but if more decimals were wanted , and if their exactness were likewise requisite , the present answer might be

**taken**for the assumed root , and the whole operation should be repeated . 2. Required the biquadrate root of 2.0743 . Page 23

Hence it appears that there may be as many kinds of indices , or logarithms , as there can be

Hence it appears that there may be as many kinds of indices , or logarithms , as there can be

**taken**kinds of geometrical series . But the Logarithms most convenient for common uses are those adapted to a geometrical series increasing in ... Page 31

In this operation , the Index of the Divisor must be changed from affirmative to negative , or from negative to affirmative ; and then the difference of the affirmative and negative Indices must be

In this operation , the Index of the Divisor must be changed from affirmative to negative , or from negative to affirmative ; and then the difference of the affirmative and negative Indices must be

**taken**for the index to the Logarithm ... Page 33

N. B. The Arithmetical Complement of a Logarithm is what it wants of 10,000000 , or 20,000000 , and the easiest way to find it is to begin at the left hand , and subtract every figure from 9 , except the last , which should be

N. B. The Arithmetical Complement of a Logarithm is what it wants of 10,000000 , or 20,000000 , and the easiest way to find it is to begin at the left hand , and subtract every figure from 9 , except the last , which should be

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### Common terms and phrases

acres altitude angle Answer arch base bearing called centre chains chord circle Co-sec Co-sine Co-tang column compasses contained decimal degrees Dep Lat difference direct Dist distance divided divisions draw drawn east edge equal EXAMPLE extended feet figures fixed four fourth give given glass greater ground half hand height Hence Horizon inches laid land Lat Dep latitude length less logarithm manner marked measure meridian method minutes multiplied natural object observed opposite parallel perches perpendicular plane pole PROB proportion Quadrant quotient radius reduce remainder right angles right line root rule scale Secant sect side sights sine square station Sun's suppose survey taken Tang tangent theo third triangle true whole

### Popular passages

Page 38 - 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 25 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.

Page 199 - RULE. From half the sum of the three sides subtract each side severally.

Page 106 - 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 27 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG.