31151029036484.pdf

More documents

Recommendations

Info

$ï V \ - JScholarship - Johns Hopkins University$

A TEEATISE ON PLANE AND SPHERICAL TRIGONOMETRY. BY WILLIAM GHAUVENET, PBOPESSOa OP MiTHEKATICS AND A8TK0N0MT IN •WASHINGTON UNIVERSIir, SAINT LOUIS. iinti ^Yiiin, PHILADELPHIA: J. B. LIPPINOOTT & 00. 1878.
Page 2: a A « LIBRARY JC^HNS HOPKINS UNIVE
Page 9 and 10: PEEFACE. I HAVE in this treatise en
Page 11 and 12: CONTENTS. PAET I. PLANE TEIGONOMETR
Page 13: CONTENTS. 7 PAET II. SPHEEICAL TRIG
Page 16 and 17: 10 PLANE TRIGONOMETRY. in Fig. 1. t
Page 18 and 19: 12 PLANE TRXGONOMETBT. arbitrary, a
Page 20 and 21: 14 PLANE TRIGONOMETRY. CHAPTER n. S
Page 22 and 23: iQ PLANE TRXGONOMETBT. SINES, &C. O
Page 24 and 25: 18 PLANE TRIGONOMETRY. or, by the d
Page 26 and 27: 20 PLANE TEXGONOMETRY. dhd by (7) c
Page 28 and 29: •i'i PLANE TEIGONOMETEY CHAPTER I
Page 30 and 31: 24 PLANE TEIGONOMETEr. 37. The prec
Page 32 and 33: ye PLANE TF.XGONOMETRT. It follows
Page 34 and 35: •IS PLANE TRIGONOMETRY. 48. The p
Page 36 and 37: 80 PLANE TRIGONOMETRY. In like mann
Page 38 and 39: 32 PLANE TRIGONOMETRY. (105) expres
Page 40 and 41: 34 PLANE TRIGONOMETRY. Also since s
Page 42 and 43: d& PLANE TEIGONOMETEY. From this, b
Page 44 and 45: 38 PLANE TRIGONOMETRY. 77. If in th
Page 46 and 47: 40 PLANE TRIGONOMETRY. 4 [si n (a;-
Page 48 and 49: i2 PLANE TRIGONOMETRY. And in the s
Page 50 and 51: 44 PLANE TRIGONOMETRY. second, call
Page 52 and 53: 4b PLANE TEIGONOMETEY. index by 10,
Page 54 and 55:
48 PLANE TRIGONOMETRY. The whole di
Page 56 and 57:
60 PLANE TRIGONOMETRY. And by (102)
Page 58 and 59:
52 PLANE TRIGONOMETRY. Tho required
Page 60 and 61:
64 PLANE TEIGONOMETEY. EXAMPLES. 1.
Page 62 and 63:
66 PLANE TRIGONOMETRY. rapid change
Page 64 and 65:
fiS PLANE TRIGONOMETRF. the same as
Page 66 and 67:
60 PLANE TRIGONOMETRY. This may be
Page 68 and 69:
62 PLANE TEIGONOMETEY. From these e
Page 70 and 71:
tt4 PLANE TRIGONOMETRY. Kg. 18. CHA
Page 72 and 73:
66 PLANE TRIGONOMETRY. To find G.
Page 74 and 75:
68 PLANE TRIGONOMETRY-. fig 21. _ 1
Page 76 and 77:
70 PLANE TRIGONOMETRY. We find X fr
Page 78 and 79:
72 PLANE TRIGONOMETRY. 145. CASE IV
Page 80 and 81:
74 PLANE TRIGONOMLTRY. ExAMPLi. Giv
Page 82 and 83:
76 PLANE TEIGONOMETEY. 161 To find
Page 84 and 85:
78 PLANE TEIGONOMETEY. Also, by mea
Page 86 and 87:
80 PLANE TEIGONOMETEY. the expressi
Page 88 and 89:
82 PLANE TIUGONOMF.TET. Eliminating
Page 90 and 91:
84 PLANE TRIGONOMETRY. 7. Given c.
Page 92 and 93:
g6 PLANE TRIGONOMETRY. Similar rema
Page 94 and 95:
88 PLANE TRIGONOMETRY. 172. The pre
Page 96 and 97:
90 PLANE TRIGONOMETRY. EXAMPLE. To
Page 98 and 99:
92 PLANE TRIGONOMETRY. 176. To sohe
Page 100 and 101:
94 PLANE TRIGONOMETRY. J 79. To fin
Page 102 and 103:
96 PLANE TRIGONOMETRY. 184. To solv
Page 104 and 105:
98 PLANE TRIGONOMETRY. 2d. When a i
Page 106 and 107:
100 PLANE TRIGONOMETRY. so that tne
Page 108 and 109:
102 PLANE TRIGONOMETRY. 189, Tb fin
Page 110 and 111:
104 PLANE TRIGONOMETRY. 194. Althou
Page 112 and 113:
106 PLANE TRIGONOMETRY. Also in the
Page 114 and 115:
log PLANE TRIGONOMETRY. which combi
Page 116 and 117:
no PLANE TRIGONOMETRY. 200. CASE IV
Page 118 and 119:
112 PLANE TRIGONOMETRY. ties by the
Page 120 and 121:
114 PLANE TRIGONOMETRY. 204. The er
Page 122 and 123:
119 PLANE TRIGONOMETRY. SO that the
Page 124 and 125:
118 PLANE TRIGONOMETRY. in which fo
Page 126 and 127:
120 PLANE TRIGONOMETRY, therefore (
Page 128 and 129:
122 PLANE TRIGONOMETRY. and the fac
Page 130 and 131:
124 PLANE TRIGONOMETRY, Compute log
Page 132 and 133:
i26 PLANE TRIGONOMETRY. difference
Page 134 and 135:
128 PLANE TRIGONOMETRY. whence But
Page 136 and 137:
130 PLANE TRIGONOMETRY. But —x+ .
Page 138 and 139:
132 PLANE TRIGONOMETRY EXAMPLES. 1.
Page 140 and 141:
134 PLANE TRIGONOMETRY. Hence we fi
Page 142 and 143:
I'dH PLANE TRIGONOMETRY. so that fr
Page 144 and 145:
133 PLANE TRIGONOMETRY. thsrefore t
Page 146 and 147:
140 PLANE TRIGONOMETRY. odd, and we
Page 148 and 149:
142" PLANE TRIGONOMETRY. Therefore
Page 150 and 151:
144 PLANE TRIGONOMETRY. 250. To dev
Page 152 and 153:
146 PLANE TRIGONOMETRY. n'lT +x —
Page 154 and 155:
148 PLANE TRIGONOMETRY. 259 In a pl
Page 156 and 157:
150 SPHERICAL TRIGONOMETRY. as iden
Page 158 and 159:
152 SPHERICAL TRIGONOMETRY. Subtrac
Page 160 and 161:
154 SPHERICAL TRIGONOMETRY. It is t
Page 162 and 163:
156 SPHERICAL TRIGONOMETRY. 14. If
Page 164 and 165:
158 SPHERICAL TRIGONOMETRY. 18. The
Page 166 and 167:
160 SPHERICAL TRIGONOMETRY. Therefo
Page 168 and 169:
162 SPHERICAL TRIGONOMETRY. 27. In
Page 170 and 171:
16-i SPHERICAL TRIGONOMETRY. Again,
Page 172 and 173:
166 SPHERICAL TRIGONOMETRY. S7. To
Page 174 and 175:
16&- SPHERICAL TRIGONOMETRY. that i
Page 176 and 177:
170 SPHERICAL TRIGONOMETRY. In tht
Page 178 and 179:
172 SPHERICAL TRIGONOMETRY. To find
Page 180 and 181:
174 SPHERICAL TRIGONOMETRY. 55. CAS
Page 182 and 183:
176 SPHERICAL TRIGONOMETRY. EXAMPLE
Page 184 and 185:
]7a SPHERICAL TRIGONOMETRY. CHAPTER
Page 186 and 187:
IgQ SPHERICAL TRIGONOMETRY. PL Trig
Page 188 and 189:
182 SPHERICAL TRIGONOMETRY. EXAMPLE
Page 190 and 191:
184 SPHERICAL TRIGONOMETRY. 1. Give
Page 192 and 193:
186 SPHERICAL TRIGONOMETRY. Fig. 9.
Page 194 and 195:
188 SPHERICAL TRIGONOMETRY. By (134
Page 196 and 197:
190 SPHERICAL TRIGONOMETRY. By (140
Page 198 and 199:
192 SPHERICAL TRIGONOMETRY. The aux
Page 200 and 201:
194 SPHERICAL TRIGONOMETRY. nse of
Page 202 and 203:
19« SPHERICAL TRIGONOMETRY. 5. Giv
Page 204 and 205:
198 SPHERICAL TRIGONOMETRY, then, p
Page 206 and 207:
200 SPHERICAL TRIGONOMETRY, sin C s
Page 208 and 209:
202 SPHERICAL TRIGONOMETRY. J. Give
Page 210 and 211:
204 SPHERICAL TRIGONOMETRY. No ambi
Page 212 and 213:
2Q6 SPHERICAL TRIGONOMETRY. SOLUTIO
Page 214 and 215:
208 SPHERICAL TRIGONOMETRY. Again,
Page 216 and 217:
210 SPHERICAL TRIGONOMETRY. Kg. 12.
Page 218 and 219:
212 SPHERICAL TRIGONOMETRY. Downey'
Page 220 and 221:
214 SPHERICAL TRIGONOMETRY. CHAPTER
Page 222 and 223:
216 SPHERICAL TRIGONOMETRY. 3d Let
Page 224 and 225:
218 SPHERICAL TRIGONOMETRY. 114. CA
Page 226 and 227:
220 SPHERICAL TRIGONOMETRY. log sin
Page 228 and 229:
222 SPHERICAL TRIGONOMETRY. Adaptin
Page 230 and 231:
224 SPHERICAL TRIGONOMETRY. 120. Wh
Page 232 and 233:
226 SPHERICAL TRIGONOMETRY. i sin 3
Page 234 and 235:
228 SPHERICAL TRIGONOMETRY. whence
Page 236 and 237:
23(? SPHERICAL TRIGONOMETRY 129 Giv
Page 238 and 239:
Page 240 and 241:
£34 SPHERICAL TRIGONOMETRY, the di
Page 242 and 243:
286 SPHERICAL TRIGONOMETRY. sin i A
Page 244 and 245:
238 SPHERICAL TRIGONOMETRY. DIFFERE
Page 246 and 247:
240 SPHERICAL TRIGONOMETRY, 150. CA
Page 248 and 249:
242 SPHERICAL TRIGONOMETRY. 158. Si
Page 250 and 251:
244 SPHERICAL TRIGONOMETR":^. 162 L
Page 252 and 253:
Page 254 and 255:
248 SPHERICAL TRIGONOMETRY. 171. Ag
Page 256 and 257:
250 SPHERICAL TRIGONOMETRY. 176. Fr
Page 258 and 259:
252 SPHERICAL TRIGONOMETRY. point A
Page 260 and 261:
254 SPHERICAL TRIGONOMETRY. contact
Page 262:
256 SPHERICAL TRIGONOMETRY. therefo
show all

31151029036484.pdf

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?