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

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Page 40

and so BD becomes a

and so BD becomes a

**quadrant**or the fourth part of the periphery : therefore the radius DC is always the sine of a**quadrant**, or of the fourth part of the circle BD . Sines are said to be of as many degrees as the arc contains parts of ... Page 41

What an arc wants of a

What an arc wants of a

**quadrant**is called the complement thereot : Thus DH is the complement of the arc HB . fig . 8 . 25. And what an arc wants of a semicircle is called the supplement thereof : thus AH is the supplement of the arc HB ... Page 62

Let DHB be a

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 74

On the line AB , let a semicircle ADB be de scribed ; let CDF be drawn perpendicular to this line from the centre C ; and the tangent BE perpendicular to the end of the diameter ; let the

On the line AB , let a semicircle ADB be de scribed ; let CDF be drawn perpendicular to this line from the centre C ; and the tangent BE perpendicular to the end of the diameter ; let the

**quadrants**, AD , DB , be each divided into 9 ... Page 92

This is , in fact , a line of chords constructed to a

This is , in fact , a line of chords constructed to a

**quadrant**divided into eight parts or points of the compass , in order to facilitate the work of the navigator in laying down a ship's course . Of the line of longitudes .### 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.