\fdO'^ - Old Forge Coal Mines

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( W v. 5 Copyright, 1897, by The Colliery Engineer Company. Arithmetic, Key : Copyright, 1893, 18W, 1896, 1897, 1898, by The COLLIERY ENGI- NEER Company. Algebra, Key : Copyright, 1894, 1896, 1897, 1898, by THE COLLIERY ENGINEER COM- PANY. Logarithms, Key: Copyright, 1897, by The Colliery Engineer Company. Geometry and Trigonometry, Key : Copyright, 1893, 1894, 1895, 1898, by The Colliery Engineer Company. Elementary Mechanics, Key : Copyright, 189;}, 1894, 1895, 1897, by THE COLLIERY Engineer Company. Hydromechanics, Key : Copyright, 1893, 1894, 1895, 1897, by THE COLLIERY ENGI- NEER Company. Pneumatics, Key : Copyright, 1803, 1895, 1897, by The Colliery Engineer Company. Strength of Materials, Key: Copyright, 18M, 1899, by The Colliery Engineer Company. Surveying, Key : Copyright, 189.5, by The Colliery Engineer Company. Land Surveying, Key : Copyright, 1895, by The Colliery Engineer Company. Railroad Location, Key : Copyright, 1895, by The Colliery Engineer Company. Railroad Construction, Key : Copyright, 1895, by The Colliery Engineer Company. Track Work, Key : Copyright, 1896, by The Colliery Engineer Company. Railroad Structures, Key : Copyright, 1896, by The COLLIERY ENGINEER COM- PANY. burr PRINTING HOUSE, FRANKFORT AND JACOB STREETS, NEW YORK.
A KEY TO ALL THE QUESTIONS AND EXAMPLES INCLUDED IN Vols. I and II, EXCEPT THE EXAMPLES FOR PRACTICE. It will be noticed that the Key is divided into sections which correspond to the sections containing the questions and examples at the end of Vols. I and II. The answers and solutions are so numbered as to be similar to the num- bers before the questions to which they refer. 157143
Page 1 and 2: \fdO'^ x\\{: f i ( ':\ ^i > ;v\;V -
Page 3: c c c tec C €
Page 11: Arithmetic, - CONTENTS Algebra, Log
Page 14 and 15: i ARITHMETIC. of tens. 1 + 8 + 7 +
Page 16 and 17: 4 ARITHMETIC. and the difference (4
Page 18 and 19: ARITHMETIC. (c) 217 Multiply any tw
Page 20 and 21: 8 ARITHMETIC. 72 in the dividend an
Page 22 and 23: 10 ARITHMETIC. (70 X 50 X 24 X 20).
Page 24 and 25: 12 ARITHMETIC, The 5 in the dividen
Page 26 and 27: 14 ARITHMETIC. (22) (a) 576) 589824
Page 28 and 29: 16 ARITHMETIC. (33) To reduce a fra
Page 30 and 31: 18 ARITHMETIC. 3 3 (e) 15-r-7-43-=
Page 32 and 33: 20 ARITHMETIC. (41) ,9| + 50i + 41+
Page 34 and 35: 22 ARITHMETIC. (45) The man evident
Page 36 and 37: 24 ARITHMETIC. • u s o e 3 2 o 93
Page 38 and 39: 26 ARITHMETIC. {b) Here again the p
Page 40 and 41: 28 ARITHMETIC. 64) 1.000000(. 01562
Page 42 and 43: 30 ARITHMETIC. (66) In subtraction
Page 44 and 45: 38 ARITHMETIC. (6) .875 — 5-=? Re
Page 46 and 47: 84 ARITHMETIC. {c) First perform th
Page 48 and 49: 36 ARITHMETIC. Reducing 387 387 to
Page 50 and 51: 38 ARITHMETIC. nominator of the fra
Page 52 and 53: 40 ARITHMETIC. (d) Base = percentag
Page 54 and 55: 42 ARITHMETIC. Another method of so
Page 56 and 57: 44 ARITHMETIC. (89) Here we have gi
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46 ARITHMETIC. 24 ) 13750 gr. 20 )
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48 ARITHMETIC. (98) Reduce the grai
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50 ARITHMETIC. contained times in 3
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gal.
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54 ARITHMETIC. (108) In multiplicat
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56 ARITHMETIC. Since there are 24 g
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58 ARITHMETIC. There are 100 lb. in
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60 ARITHMETIC. 62 is contained in 1
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63 ARITHMETIC. (121) (a) 106' = 106
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64 ARITHMETIC. (^) .4044* = .4044 X
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6G ARITHMETIC. Since there are 2 de
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68 ARITHMETIC. (128) {a) .0133' =.0
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70 ARITHMETIC (130^ (a) 1 1 20 _8 2
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72 ARITHMETIC. in the root. Write i
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74 ARITHMETIC. (^) 9 -/QO.OO'OO'OO
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76 ARITHMETIC. correction. This, mu
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78 ARITHMETIC. found by division sh
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80 ARITHMETIC. (137) {a) 1 1 f .0 6
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82 ARITHMETIC. (138^ {a) In this ex
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84 ARITHMETIC. (^)
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86 ARITHMETIC. {b) f 6 = VTa 2 4/G.
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88 8 8 ARITHMETIC.
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90 ARITHMETIC. 40,000 144)40000.0(2
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92 ARITHMETIC. (163) 2 ft. 5 in. =
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94 ARITHMETIC. (164) Taking the tim
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96 ALGEBRA. (171) See Arts. 352 and
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98 ALGEBRA. In this case, where we
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100 ALGEBRA. By Art. 482, the signs
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102 ALGEBRA. (189) Applying the met
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104 ALGEBRA. (196) {a) ^+_;/ + ^-(^
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106 ALGEBRA- (201 ) The subtraction
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108 ALGEBRA. Canceling the factors
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110 ALGEBRA. (208) (a) Writing the
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112 ALGEBRA. 20j^(4^+5)-12.r(3:r-7)
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ALGEBRA. (QUESTIONS 218-257.) (218)
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ALGEBRA. 117 Clearing of fractions,
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ALGEBRA. 119 Transposing, — A:X*
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Completing the square, ALGEBRA. 131
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Extracting ALGEBRA. 123
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(d) Completing the square, Extracti
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ALGEBRA. 127 (238) (a) i/| by Art.
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(242) ALGEBRA. 139 Let X = the whol
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(246) Then,-^ X ALGEBRA. 131 Let X
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ALGEBRA. 133 y+5-{x-o) = 6. (1) But
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ALGEBRA. 136 (266) Let X — the nu
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LOGARITHMS. (QUESTIONS 258-272.) (2
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l^OGARITHMS. 139 .6602 -3 — 1.980
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LOGARITHMS. 141 {l>) .76'"._ Log .7
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LOGARITHMS. 143 (271) Substituting
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140 GEOMETRY AND TRIGONOMETRY. in t
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148 GEOMETRY AND TRIGONOMETRY. 3 (2
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150 GEOMETRY AND TRIGONOMETRY. (302
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154 GEOMETRY AND TRIGONOMETRY. draw
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158 GEOMETRY AND TRIGONOMETRY. {d)
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1G4 GEOMETRY AND TRIGONOMETRY. (354
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166 ELEMENTARY MECHANICS. per min.
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168 ELEMENTARY MECHANICS. replaced,
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170 ELEMENTARY MECHANICS. (384) (a)
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172 ELEMENTARY MECHANICS. (389) See
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174 ELEMENTARY MECHANICS. (398) 1 h
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176 ELEMENTARY MECHANICS (412) Use
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180 ELEMENTARY MECHANICS. a distanc
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Page 196 and 197:
184 ELEMENTARY MECHANICS. (d) Using
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186 ELEMENTARY MECHANICS. (452) (a)
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188 HYDROMECHANICS. (457) (a) Area
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190 HYDROMECHANICS. Pressure due to
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192 HYDROMECHANICS. (47 1 ) (a) 36
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194 HYDROMECHANICS. 5' X 7854 (479)
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196 HYDROMECHANICS. (d) See Art. 10
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198 HYDROMECHANICS. Pressure per sq
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aOO HYDROMECHANICS. For z;„ = 4,/
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202 PNEUMATICS. (509) Substituting
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204 PNEUMATICS. (519) 8.47 = origin
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206 PNEUMATICS. (537) (a) 30 — 17
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208 PNE-aMATlCS. (548) CO' — 50'
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210 STRENGTH OF MATERIALS. P- p-^^.
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212 STRENGTH OF MATERIALS. Since 40
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214 STRENGTH OF MATERIALS. drawn. P
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21G STRENGTH OF MATERIALS. c \d of
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218 STRENGTH OF MATERIALS. n o. I//
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220 STRENGTH OF MATERIALS. Substitu
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222 STRENGTH OF MATERIALS. (589) Su
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224 STRENGTH OF MATERIALS. (597) {a
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226 STRENGTH OF MATERIALS. (d) In t
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228 STRENGTH OF MATERIALS. (604) Us
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230 STRENGTH OP MATERIALS. (609) Th
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232 STRENGTH OF MATERIALS. moments
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234 SURVEYING. adjacent sides of th
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236 SURVEYING. (622) 1st. A B in Fi
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238 SURVEYING. true bearing IS the
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240 SURVEYING. A B, as the bearing
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Un SURVEYING. an angle of 15° 10'
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244 SURVEYING. in dotted lines. In
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246 SURVEYING. table of Radii and D
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248 SURVEYING. ^^^ = 1.875'. The de
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. (690) 250 SURVEYING. sight to the
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252 SURVEYING. and including that a
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254 SURVEYING. horizontal lines 1 f
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(706) LAND SURVEYING (QUESTIONS 706
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LAND SURVEYING. 259 ture of A B is
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LAND SURVEYING. 261 -{-, in the col
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LAND SURVEYING. 263 is +8.86 chains
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a a *• o « .i Q a V Q + • hJ *
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LAND SURVEYING. 2G7
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RAILROAD LOCATION. (756) (QUESTIONS
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RAILROAD LOCATION. 271 second curve
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RAILROAD LOCATION. 273 in which;!'
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RAILROAD LOCATION. 275 Whence, we h
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RAILROAD LOCATION. 277 4.0827 ft.,
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point so determined by RAILROAD LOC
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282 RAILROAD CONSTRUCTION. (818) Th
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884 RAILROAD CONSTRUCTION. (833) Ap
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286 RAILROAD CONSTRUCTION. (859) Fi
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288 RAILROAD CONSTRUCTION. (864) (8
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RAILROAD CONSTRUCTION. (QUESTIONS 8
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RAILROAD CONSTRUCTION. 293 (896) Se
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RAILROAD CONSTRUCTION. 295 (a) The
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RAILROAD CONSTRUCTION. 207 (939) Se
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300 TRACK WORK. (962) (963) (964) (
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302 TRACK WORK. (994) See Art. 1687
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304 TRACK WORK. (1008) 8 ft. G in.
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306 RAILROAD STRUCTURES. (1039) See
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308 RAILROAD STRUCTURES. (1060) Fro
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3," ^ >;> :3 3>32> ^ >:> J> Oi?^ :>
Page 328:
UNIVERSrTY OF ILLINOIS-URBANA 3 011
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