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 33
PROBLEM XIII To find a third proportional to two given right lines A and B. Draw two right lines , CD , CE B containing any angle ; make CF A equal A , and CG , CH each equal B ...
PROBLEM XIII To find a third proportional to two given right lines A and B. Draw two right lines , CD , CE B containing any angle ; make CF A equal A , and CG , CH each equal B ...
Página 34
To divide a given right line AB into two parts that shall have the same ratio to each other as two given lines C and D. Draw AE making any angle with AB ; in AE take AF equal o C and FE equal D ; join EB and draw FG parallel to it ...
To divide a given right line AB into two parts that shall have the same ratio to each other as two given lines C and D. Draw AE making any angle with AB ; in AE take AF equal o C and FE equal D ; join EB and draw FG parallel to it ...
Página 35
The measure of a right angle is therefore 90 degrees ; for DH , Fig . 31 , which measures the right angle DCH is one fourth part of the circumference , or 90 degrees . . Note . — The degrees , minutes , seconds , & c . contained - , ...
The measure of a right angle is therefore 90 degrees ; for DH , Fig . 31 , which measures the right angle DCH is one fourth part of the circumference , or 90 degrees . . Note . — The degrees , minutes , seconds , & c . contained - , ...
Página 37
The sine , cosine , & c . of an angle is the same as the sine , cosine , & c . of the arc that measures the angle . ... 10 ; A , 20 ; & c . to the right linę AD ; then will AD be a line of chords constructed to every ten degrees .
The sine , cosine , & c . of an angle is the same as the sine , cosine , & c . of the arc that measures the angle . ... 10 ; A , 20 ; & c . to the right linę AD ; then will AD be a line of chords constructed to every ten degrees .
Página 38
At a given point A in a given right line AB , to make an angle of any proposed number of degrees , suppose 38 degrees . Fig . 33 . With the centre A , and a radius equal to 60 degrees , taken from a scale of chords , describe an arc ...
At a given point A in a given right line AB , to make an angle of any proposed number of degrees , suppose 38 degrees . Fig . 33 . With the centre A , and a radius equal to 60 degrees , taken from a scale of chords , describe an arc ...
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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