\fdO'^ - Old Forge Coal Mines

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264 LAND SURVEYING. The total latitude of Sta. 1 is — 8.86 chains, a south latitude, which we scale off on the meridian below Sta. 2. The total departure of Sta. 1 is + 5.44 chains, an east departure, which we scale off on a right perpendicular to the meridian, locating Sta. 1. A line joining Stations 4 and 1 will have the direction and length of the fourth course. The total latitude and departure of Sta. 2 being 0, a line joining Sta. 1 with Sta. 2 will have the direction and length of the first course, and the resulting figure 2, 3, 4, 1 is the required plat of the survey. (739) (740) See Art. 1334. See Art. 1335. (741) See Art. 1336 and Fig. 323.. (742) See Art. 1336. (743) The signs of the latitude always determine the character of the products, north or + latitudes giving north products and south or — latitudes See Examples 746 and 747. giving south products. (744) See Art. 1338. (745) Rule twelve columns with headings as shown in the following diagram, cal'culate the latitudes and departures, placing them in proper order. Balance them, writing the corrected latitudes directly above the original latitudes, which are crossed out. Calculate the double longitudes from Sta. 2 by rule given in Art. 1335, and place them with their corresponding stations as shown in columns 11 and 12. Place the double longitudes in regular order in column 8. Multiply the double longitude of each course by the corrected latitude of that course, placing the products in column 9 or 10, according as the products are north or south. Add the columns of double areas, subtracting the less from the greater and divide the remainder by 2. In this example the area is given in square chains, which we reduce to acres, roods, and poles as follows: Divide the sq. chains by 10, reducing to acres. Multiply the decimal part successively by 4 and -40, reducing to roods and poles.
a a *• o « .i Q a V Q + • hJ *- OQ c« •= + Cfl + 12: Q I?* (?* * o «^ o CO * 00 CO OS + + + + 00 o o I-H O "># 00 O >0 1>^ 00 Oi. O 00 QC-
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( W v. 5 Copyright, 1897, by The Co
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Arithmetic, - CONTENTS Algebra, Log
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i ARITHMETIC. of tens. 1 + 8 + 7 +
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4 ARITHMETIC. and the difference (4
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ARITHMETIC. (c) 217 Multiply any tw
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8 ARITHMETIC. 72 in the dividend an
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10 ARITHMETIC. (70 X 50 X 24 X 20).
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12 ARITHMETIC, The 5 in the dividen
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14 ARITHMETIC. (22) (a) 576) 589824
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16 ARITHMETIC. (33) To reduce a fra
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18 ARITHMETIC. 3 3 (e) 15-r-7-43-=
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20 ARITHMETIC. (41) ,9| + 50i + 41+
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22 ARITHMETIC. (45) The man evident
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24 ARITHMETIC. • u s o e 3 2 o 93
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26 ARITHMETIC. {b) Here again the p
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28 ARITHMETIC. 64) 1.000000(. 01562
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30 ARITHMETIC. (66) In subtraction
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38 ARITHMETIC. (6) .875 — 5-=? Re
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84 ARITHMETIC. {c) First perform th
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36 ARITHMETIC. Reducing 387 387 to
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38 ARITHMETIC. nominator of the fra
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40 ARITHMETIC. (d) Base = percentag
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42 ARITHMETIC. Another method of so
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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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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
Page 226 and 227: 214 STRENGTH OF MATERIALS. drawn. P
Page 228 and 229: 21G STRENGTH OF MATERIALS. c \d of
Page 230 and 231: 218 STRENGTH OF MATERIALS. n o. I//
Page 232 and 233: 220 STRENGTH OF MATERIALS. Substitu
Page 234 and 235: 222 STRENGTH OF MATERIALS. (589) Su
Page 236 and 237: 224 STRENGTH OF MATERIALS. (597) {a
Page 238 and 239: 226 STRENGTH OF MATERIALS. (d) In t
Page 240 and 241: 228 STRENGTH OF MATERIALS. (604) Us
Page 242 and 243: 230 STRENGTH OP MATERIALS. (609) Th
Page 244 and 245: 232 STRENGTH OF MATERIALS. moments
Page 246 and 247: 234 SURVEYING. adjacent sides of th
Page 248 and 249: 236 SURVEYING. (622) 1st. A B in Fi
Page 250 and 251: 238 SURVEYING. true bearing IS the
Page 252 and 253: 240 SURVEYING. A B, as the bearing
Page 254 and 255: Un SURVEYING. an angle of 15° 10'
Page 256 and 257: 244 SURVEYING. in dotted lines. In
Page 258 and 259: 246 SURVEYING. table of Radii and D
Page 260 and 261: 248 SURVEYING. ^^^ = 1.875'. The de
Page 262 and 263: . (690) 250 SURVEYING. sight to the
Page 264 and 265: 252 SURVEYING. and including that a
Page 266 and 267: 254 SURVEYING. horizontal lines 1 f
Page 269 and 270: (706) LAND SURVEYING (QUESTIONS 706
Page 271 and 272: LAND SURVEYING. 259 ture of A B is
Page 273 and 274: LAND SURVEYING. 261 -{-, in the col
Page 275: LAND SURVEYING. 263 is +8.86 chains
Page 279 and 280: LAND SURVEYING. 2G7
Page 281 and 282: RAILROAD LOCATION. (756) (QUESTIONS
Page 283 and 284: RAILROAD LOCATION. 271 second curve
Page 285 and 286: RAILROAD LOCATION. 273 in which;!'
Page 287 and 288: RAILROAD LOCATION. 275 Whence, we h
Page 289 and 290: RAILROAD LOCATION. 277 4.0827 ft.,
Page 291: point so determined by RAILROAD LOC
Page 294 and 295: 282 RAILROAD CONSTRUCTION. (818) Th
Page 296 and 297: 884 RAILROAD CONSTRUCTION. (833) Ap
Page 298 and 299: 286 RAILROAD CONSTRUCTION. (859) Fi
Page 300 and 301: 288 RAILROAD CONSTRUCTION. (864) (8
Page 303 and 304: RAILROAD CONSTRUCTION. (QUESTIONS 8
Page 305 and 306: RAILROAD CONSTRUCTION. 293 (896) Se
Page 307 and 308: RAILROAD CONSTRUCTION. 295 (a) The
Page 309: RAILROAD CONSTRUCTION. 207 (939) Se
Page 312 and 313: 300 TRACK WORK. (962) (963) (964) (
Page 314 and 315: 302 TRACK WORK. (994) See Art. 1687
Page 316 and 317: 304 TRACK WORK. (1008) 8 ft. G in.
Page 318 and 319: 306 RAILROAD STRUCTURES. (1039) See
Page 320 and 321: 308 RAILROAD STRUCTURES. (1060) Fro
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3," ^ >;> :3 3>32> ^ >:> J> Oi?^ :>
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UNIVERSrTY OF ILLINOIS-URBANA 3 011
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