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\fdO'^ - Old Forge Coal Mines

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246 SURVEYING.<br />

table of Radii and Deflections we find the radius of a 3° 15'<br />

14° 12'<br />

curve is 1,763.18 ft.; ^ 1= = 7° OG'; tan 7° 06' =<br />

.12456. Substituting these values in the above formula, we<br />

have T= 1,763 X .12456 = 219.62 ft. Ans.<br />

(669)<br />

See Art. 1252.<br />

(670) The angle of intersection 30° 45', reduced to<br />

decimal form, is 30.75°. The degree of curve 5° 15', reduced<br />

to decimal form, is 5.25°. Dividing the intersection angle<br />

30.75° by the degree of curve 5.25 (see Art. 1252), the<br />

quotient is the required length of the curve in stations of<br />

100 ft. each.<br />

30 75°<br />

^_^ = 5. 8571 full stations equal to 585. 71 ft.<br />

(671) In order to determine the P. C. of the curve, we<br />

must know the tangent distance which, subtracted from the<br />

number of the station of the intersection point, will give us<br />

the P. C. We find the tangent distance T by applying<br />

formula 91, r= ^ tan I /. (See Art. 1251.) From the<br />

table of Radii-and Deflections we find the radius of a 5° curve<br />

is 1,146.28 ft. ; | /= ^IJ^ = 16° 33' ; tan 16° 33' = .29716.<br />

P.C.5°R. Substituting these val-<br />

A ^^ 't^340^3'^J^'^0-^37.8 ^ ues in formula 91, we<br />

J6+97.17]lenSi^'^^O^J!33W have T = 1,146.28 X<br />

'<br />

-29716 = 340.63 ft. In<br />

I<br />

. ^3+59JZ^^'<br />

^^%>\z><br />

Fig. 67, let A B and<br />

/ ^ C D \>Q. the tangents<br />

/ which intersect in the<br />

/ point E^ forming an<br />

FIG- er.<br />

angle D E F=^^° 06'.<br />

The line of survey is being run in the direction A B, and<br />

the line is measured in regular order up to the intersection<br />

point E, the station of which is 20 + 37.8. Subtracting the<br />

tangent distance, B E= 340.63 ft. from Sta. 20+ 37.8, we<br />

have 16 + 97.17, the station of the P. C. at B. The inter-<br />

section angle 33° 06' in decimal form is 33.1°. Diviling

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