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

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Page 41

And the line which terminates the tangent , that is , CK , is called the

And the line which terminates the tangent , that is , CK , is called the

**secant**of the are HB . fig . 8 . 24. What an arc wants of a quadrant is called the complement thereot : Thus DH is the complement of the arc HB . fig . 8 . 25. Page 42

The sine , tangent , and

The sine , tangent , and

**secant**of an arc , is also the sine , tangent , and**secant**of an angle whose measure the arc is : thus because the arc HB is the measure of the angle HCB , and since HL is the sine , BK the tangent , and CK the ... 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 sine , FH or CL its co - sine , BK its tangent , DI its cotangent ; CK its

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 , BK its tangent , DI its cotangent ; CK its

**secant**, and CI its co -**secant**. Fig . Page 63

The co - sine of an arc is to the radius , as the radius is to the

The co - sine of an arc is to the radius , as the radius is to the

**secant**. 7. The sine of an arc is to the radius , as the tangent is to the**secant**. The triangles CLH and CBK , being similar , ( by theo . 16. ) 1. Page 85

But if the

But if the

**secant**of 28 ° 30 ' was required ? Make the given radius , two inches , a transverse distance to 0 and 0 , at the beginning of the line of secants ; and then take the transverse distance of the degrees wanted , viz .### 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.