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

### From inside the book

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X or multiplication . division . proportion . equality . square root . cube root , & c . diff . between two numbers when it is not known which is the

X or multiplication . division . proportion . equality . square root . cube root , & c . diff . between two numbers when it is not known which is the

**greater**' . Thus , 5 + 3 , denotes that 3 is to be added to 5 . Page 3

Hence it appears , that as the value and denomination of any figure , or number of figures , in common arithmetic is enlarged , and becomes ten , or an hundred , or a thousand times

Hence it appears , that as the value and denomination of any figure , or number of figures , in common arithmetic is enlarged , and becomes ten , or an hundred , or a thousand times

**greater**, by placing one , or two , or three ciphers ... Page 14

Having reduced all the fractional parts in the given quantities to their corresponding decimals , and having stated the three known terms , so that the fourth , or required quantity , may be as much

Having reduced all the fractional parts in the given quantities to their corresponding decimals , and having stated the three known terms , so that the fourth , or required quantity , may be as much

**greater**, or less than the third ... Page 16

The index , or exponent , is the number denot : ing the height , or degree of the power , being always

The index , or exponent , is the number denot : ing the height , or degree of the power , being always

**greater**by one , than the number of multiplications employed in producing the power , It is usually written above the root , as in ... Page 20

Find by trial a number , which , when involved to the power denoted by the index of the required root , shall come nearest to the given number , whether

Find by trial a number , which , when involved to the power denoted by the index of the required root , shall come nearest to the given number , whether

**greater**or less ; and let that number be called the assumed root , and when thus ...### What people are saying - Write a review

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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.