## Elements of Surveying: With a Description of the Instruments and the Necessary Tables, Including a Table of Natural Sines |

### From inside the book

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**perpendicular**to CD . 11. Every angle BAC , less than a right angle , is an acute angle ; and every angle DEF , greater than a right angle , is an obtuse angle . E 12. Two lines are said to be parallel , when being situated in the same ... Page 29

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**perpendicular**required . PROBLEM II . A From a given point without a straight line , to let fall a perpen- dicular on the line . 28. Let A be the given point and BD the given line . From the point A as a centre , with a radius ... Page 35

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**perpendicular**let fall from one extremity of the arc on the diameter which passes through the other extremity . Thus , BD is the sine of the arc AB . 45. The cosine of an arc is the part of the diameter inter- cepted between the foot of ... Page 36

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**perpendicular**to OE . Then , A H ET , the tangent of EB , is called the cotangent of AB ; IB , the sine of EB , is equal to the cosine of AB ; OT , the secant of EB , is called the cosecant of AB . In general , if A is any arc or angle ... Page 41

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**perpendicular**to IC . The**perpendicular**CE will pass through E , the extremity of the diameter IE , since the right angle ICE must be inscribed in a semicircle . But CE is the tangent of CIE = 1 ( C + B ) ; and IH is the tangent of ICB ...### Other editions - View all

### Common terms and phrases

adjusted angle of elevation axis azimuth back-sights base line called centre clamp-screw coincide column comp compass Cosine D Cosine Sine Cotang course curve degrees determined difference of level direction divided double meridian distance draw east elongation error example feet field notes figure given angle given line given point ground Gunter's chain hence horizontal angle horizontal distance horizontal plane hypothenuse inches instrument intersection LatDegDegDegDeg Distance latitude and departure length levelling screws line AC line of collimation logarithm M.
M. Sine marked measure method multiplied natural sines needle object paper parallel passing perpendicular plane of reference protractor radius right angles right-angled triangle rods scale of equal secant side sights similar triangles Sine Sine spider's lines square chains staff subtract surface survey Tang tangent theodolite true meridian vernier plate vertical limb yards