A Treatise On Surveying, Comprising the Theory And the Practice; Pt. 2

Cover A Treatise On Surveying, Comprising the Theory And the Practice; Pt. 2
A Treatise On Surveying, Comprising the Theory And the Practice; Pt. 2
W M William Mitchell Gillespie
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If the base measured from the instrument was equal to some even number of hundred units B', + (/+ c), the formulas would reduce to B' A B = -r, . * COS.* e + (/+ c) COS. e B' BD=-r,ki8in.2e + {f+c)sin.0 B' [9.] [10.] If k' is expressed in true units, then -r, gives the interval factor to be used in the reduction of all readings, the rod being grad- Fio. 488.
uated to true units.
If the interval k' be divided into the same number of units as there were hundreds of units in B', each unit inter- c
...epted will for any reading represent one hundred units, and the formulas may be written A B = R COS.* e + (/+ c) cos. e [11.] B D = R i sin. 2e + {f+c) sin. e [12.] where R is the rod reading multiplied by 100.
The formula for the reduction of inclined sights, given in Part I, page 237, while much used, is not rigidly correct. The error arises REDUCTION OF STADIA NOTES. 313 from taking M L = E G cos. e — that is, assuming E M D and D L C both right angles. The correct expression is developed as fol- lows: Let m = \ the visaal angle, assuming wires equidistant.


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