## 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 38

... be carried quite round , then the space comprehended is called a circle ; and the curve line described by the point B , is called the circumference or the periphery of the circle ; the fixed point C , is called its

... be carried quite round , then the space comprehended is called a circle ; and the curve line described by the point B , is called the circumference or the periphery of the circle ; the fixed point C , is called its

**centre**. 14. Page 39

is called the semidiameter or radius , so is any line from the

is called the semidiameter or radius , so is any line from the

**centre**to the circumference : whence all radii of the same or of equal circles are equal . 15. The diameter of a circle is a right line drawn thro ' the**centre**... Page 40

The sines on the same diameter increase till they come to the

The sines on the same diameter increase till they come to the

**centre**, and so become the radius : hence it is plain that the radius CD is the greatest possible sine , and thence is called the whole sine . Since the whole sine CD ( fig . Page 41

The tangent of an arc is a right line touching the periphery , being perpendicular to the end of the diameter , and is terminated by a line drawn from the

The tangent of an arc is a right line touching the periphery , being perpendicular to the end of the diameter , and is terminated by a line drawn from the

**centre**through the other end : thus BK ” is the tangent of the arc HB . fig . 8 . Page 45

That from any

That from any

**centre**and with any radius , the circumference of a circle may be duscribed . 4. It is also required that the equality of lines and angles to others given , be granted as possible : that it is possible for one right line ...### 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.