A Treatise on Surveying,: Containing the Theory and Practice: : to which is Prefixed a Perspicuous System of Plane Trigonometry. : The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples. : Particularly Adapted to the Use of SchoolsKimber and Sharpless, no. 93, Market Street, and John Richardson, no. 244, Market Street., 1820 - 206 páginas |
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Página 25
A line has length but not breadth . 4. A straight , or right line , is the shortest line that can be drawn between any two points . 5. A superficies or surface has length and breadth , but not thickness . 6. A plane superficies is that ...
A line has length but not breadth . 4. A straight , or right line , is the shortest line that can be drawn between any two points . 5. A superficies or surface has length and breadth , but not thickness . 6. A plane superficies is that ...
Página 26
The magnitude of an angle depends on the inclination which the lines that form it have to each other , and not on the length of those lines . Thus the angle DBE is greater than the angle ABC , Fig . 3 . 9. When a straight line stands on ...
The magnitude of an angle depends on the inclination which the lines that form it have to each other , and not on the length of those lines . Thus the angle DBE is greater than the angle ABC , Fig . 3 . 9. When a straight line stands on ...
Página 39
The lengths of these lines being computed and arranged in a table , constitute what is usually termed a table of natural sines . The logarithms of those numbers taken from a table of logarithms and properly arranged form the table of ...
The lengths of these lines being computed and arranged in a table , constitute what is usually termed a table of natural sines . The logarithms of those numbers taken from a table of logarithms and properly arranged form the table of ...
Página 41
The subdivi . sions of the two parts of this line are likewise similar , each primary division being divided into ten parts , distinguished by lines of about half the length of the primary divisions . The primary divisions on the second ...
The subdivi . sions of the two parts of this line are likewise similar , each primary division being divided into ten parts , distinguished by lines of about half the length of the primary divisions . The primary divisions on the second ...
Página 47
This may be constructed as in the preceding example ; or otherwise thus , Draw the line AB of any length , and draw AC making the angle A = 53 ° 8 ' ; make AC = 480 by a scale of equal parts , and from C draw CB perpendicular to AB ...
This may be constructed as in the preceding example ; or otherwise thus , Draw the line AB of any length , and draw AC making the angle A = 53 ° 8 ' ; make AC = 480 by a scale of equal parts , and from C draw CB perpendicular to AB ...
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ABCD according acres adjacent angle base bearing bearing and distance Calculation called centre circle Co-secant Co-sine Co-tang column Construction contained corresponding Courses decimal Deg Dist DEMONSTRATION describe difference distance divide division draw east equal EXAMPLES feet figures find the area given given angle given area given side greater half hand height hypothenuse join latitude and departure length less logarithm measured meeting meridian distance Note off-sets opposite parallel perches perpendicular preceding PROBLEM quotient radius ratio rectangle remainder Required the area right angle right line root RULE running scale Secant side side AC sine square station subtract survey taken Tang Tangent triangle ABC twice