. ^ the sum of theradii 4605 by the natural tangent of 35° 13, and we have thelength required. Case 2d. Fig. FonMULyE ¥on Running Lines, Suppose the two curves to be connected by a common tangent,instead of running in opposite directions as in Case 1st, curve thesame Avay, as GHS and CD EL. It is required to find theposition of the tangent S D. Assume the points H and E; from H lay off tangent H I; fromE lay off tangent E F ; join F and I by a straight line, if convenient,or by a traverse, if there be obstructions. Let A II be an art
. ^ the sum of theradii 4605 by the natural tangent of 35° 13, and we have thelength required. Case 2d. Fig. FonMULyE ¥on Running Lines, Suppose the two curves to be connected by a common tangent,instead of running in opposite directions as in Case 1st, curve thesame Avay, as GHS and CD EL. It is required to find theposition of the tangent S D. Assume the points H and E; from H lay off tangent H I; fromE lay off tangent E F ; join F and I by a straight line, if convenient,or by a traverse, if there be obstructions. Let A II be an artificialmeridian, and, as in Case 1st, calculate the distance A B, alto itscourse ~ angle HAG; this will give also the angle E B A. Suppose radius AH =1432-5, tangent H I = 500 feet, angleMI F rr 6°, I F = 1000 feet, N F T = 8°, E F = 600 feet, and radiusE B = 2865 feet. We will then liave the following traverse, bywhich to find the course and distance of A B; Course. Distance. Northing. Southing. Easting. Westing. ISTorth . .East . . S. 84° E. .° 14° W. 1432-5 5001000 6002865 1432-50 104-50145-20 2780-07 500 984-60582-20 692-72 Total 1432-50 3029-
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Keywords: ., bookcentury1800, bookdecade1850, booksubjectenginee, bookyear1856
