Elements of Surveying with a Description of the Instruments and the Necessary Tables Including a Table of Natural Sines |
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Page 19
... 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 ...
... 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
... 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 ...
... 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
... 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 ...
... 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
... perpendicular to OE . Then , 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 , we ...
... perpendicular to OE . Then , 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 , we ...
Page 41
... 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 ( C4B ) ; and IH is the tangent of ICB ...
... 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 ( C4B ) ; and IH is the tangent of ICB ...
Common terms and phrases
acres 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 decimal 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 half hence horizontal angle horizontal distance horizontal plane hypothenuse inches instrument intersection 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 piece of land pins plane of reference protractor radius right angles right-angled triangle rods scale of equal secant side similar triangles spider's lines square chains staff subtract surface survey Tang tangent theodolite true meridian vernier plate vertical limb yards