## 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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Page 41

The versed

The versed

**sine**of an arc is that part of the diameter that lies between the ... is called the**co**-**sine**,**co**tangent , or**co**- secant of the arc itself ... Page 42

... BL the versed

... BL the versed

**sine**, HF the**co**-**sine**, DI the**co**- tangent , and CI the**co**- secant , & c . of the arc BH ; then HL is called the**sine**, BK the tangent ... Page 62

Let DHB be a quadrant of a circle described by the ra .. dius CB ; HB an arc of it , and DH its complement ; HL or FC the

Let DHB be a quadrant of a circle described by the ra .. dius CB ; HB an arc of it , and DH its complement ; HL or FC the

**sine**, FH or CL its**co**-**sine**... Page 63

The radius is to the tangent of an arc , as the

The radius is to the tangent of an arc , as the

**Co**-**sine**of it is to the**sine**. 3. The**sine**of an arc is to its**co**-**sine**, as the radius to its**co**... Page 108

... natural

... natural

**sine**of either of the acute angles , the product will be the length of the side opposite to that angle ; and multiplied by the natural**co**-**sine**...### 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 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 40 - 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 27 - 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 201 - RULE. From half the sum of the three sides subtract each side severally.

Page 2 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.

Page 108 - 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 2 - ... then multiply the second and third terms together, and divide the product by the first term, and the quotient will be the answer ; — in the same denomination with the third term.

Page 29 - 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.