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

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The Theodolite 159 pass 318 The Semicircle 164 Mensuration of AnLIST OF TABLES . gles by these Instruments 169 Logarithms of Numbers 1 171 Sines ,

The Theodolite 159 pass 318 The Semicircle 164 Mensuration of AnLIST OF TABLES . gles by these Instruments 169 Logarithms of Numbers 1 171 Sines ,

**Tangents**and Secante 20 2. Mensuration of Natural Sines 71 heighits 179 Points of the ... Page

The Theodolite 159 pass 318 The Semicircle 164 Mensuration of AnLIST OF TABLES . gles by these In . struments 169 Logarithms of Numbers 1 The Protractor , 171 Sines ,

The Theodolite 159 pass 318 The Semicircle 164 Mensuration of AnLIST OF TABLES . gles by these In . struments 169 Logarithms of Numbers 1 The Protractor , 171 Sines ,

**Tangents**and Secants 20 2. Mensuration of Natural Sines 71 heights ... Page 41

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 42

The sine ,

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 57

Therefore , in general , the chord , sine ,

Therefore , in general , the chord , sine ,

**tangent**, & c . of any arc is proportional to the radius of the circle ; ) the same way the chord AB is to the chord ab , in the same I THEOREMS . 57.### 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.