TABLE Foil ROUGH TRIANGULATION without the usual Instruments, and without Calculation.
Chord of angle situated at the opposite end of base to that from which we desire to learn the distance across the river.
n |
co |
r- |
. |
00 |
-q" cA |
Q> |
-41 m |
O |
o |
N |
N |
r |
N |
-41 w |
a, |
a~-i |
-dn | ||||||||
5 |
57 |
60 |
64 |
67 |
70 |
73 |
75 |
78 |
81 |
84 |
87 |
89 |
92 |
95 |
98 |
101 |
105 |
109 |
113 |
118 |
123 |
129 |
137 |
116 | |
;q |
5f |
55 |
59 |
62 |
65 |
69 |
72 |
74 |
78 |
81 |
84 |
87 |
90 |
93 |
96 |
1.00 |
103 |
107 |
112 |
116 |
122 |
128 |
135 |
144 |
155 |
6 |
54 |
57 |
61 |
64 |
68 |
71 |
74 |
77 |
80 |
84 |
87 |
90 |
94 |
97 |
101 |
105 |
110 |
185 |
120 |
126 |
134 |
142 |
153 |
167 | |
st |
61 |
53 |
56 |
60 |
63 |
67 |
70 |
74 |
77 |
80 |
84 |
87 |
91 |
95 |
99 |
103 |
108 |
113 |
119 |
125 |
132 |
141 |
151 |
161 |
1a2 |
7 |
52 |
55 |
59 |
63 |
66 |
70 |
73 |
77 |
81 |
85 |
88 |
92 |
96 |
101 |
106 |
111 |
117 |
123 |
130 |
139 |
149 |
161 |
178 |
200 | |
7f |
51 |
55 |
58 |
62 |
66 |
70 |
73 |
77 |
81 |
85 |
89 |
94 |
98 |
103 |
109 |
184 |
121 |
128 |
136 |
146 |
159 |
114 |
794 |
223 | |
8 |
50 |
54 |
58 |
62 |
66 |
70 |
74 |
78 |
82 |
86 |
91 |
95 |
101 |
106 |
112 |
118 |
126 |
134 |
144 |
156 |
170 |
189 |
215 |
253 | |
0 |
8f |
49 |
53 |
57 |
61 |
65 |
70 |
74 |
88 |
83 |
88 |
92 |
98 |
103 |
109 |
116 |
1.23 |
132 |
141 |
153 |
168 |
185 |
208 |
247 |
294 |
4 |
9 |
49 |
53 |
57 |
61 |
66 |
70 |
75 |
79 |
84 |
89 |
94 |
100 |
106 |
113 |
121 |
129 |
139 |
150 |
162 |
181 |
203 |
233 |
||
° |
91 |
49 |
53 |
57 |
62 |
66 |
71 |
76 |
81 |
86 |
91 |
97 |
103 |
110 |
118 |
126 |
136 |
147 |
160 |
174 |
194 |
225 |
265 |
_ | |
10 |
48 |
53 |
57 |
62 |
67 |
72 |
77 |
82 |
88 |
94 |
1.00 |
107 |
115 |
123 |
133 |
145 |
161 1173 |
193 |
218 |
||||||
101 |
48 |
53 |
58 |
63 |
68 |
73 |
78 |
84 |
90 |
97 |
104 |
112 |
120 |
130 |
1.41 |
154 |
171 1190 |
215 |
248 |
||||||
11 |
49 |
53 |
58 |
64 |
69 |
74 |
80 |
86 |
93 |
100 |
108 |
117 |
127 |
138 |
151 |
166 |
187 211 |
-- |
- |
||||||
111 |
49 |
54 |
59 |
65 |
70 |
76 |
83 |
89 |
97 |
105 |
113 |
124 |
135 |
147 |
163 |
180 |
207 237 |
TO USE Tiff TABLE. | |||||||
d |
12 |
50 |
55 |
60 |
66 |
72 |
79 |
85 |
93 |
101 |
110 |
120 |
131 |
144 |
160 |
179 |
202 |
||||||||
a |
12f |
50 |
56 |
62 |
68 |
75 |
81 |
89 |
98 |
106 |
117 |
128 |
141 |
157 |
1'15 |
199 |
229 |
||||||||
as m |
Let AB be the baso of 100 feet, yards, minutes' | ||||||||||||||||||||||||
p o |
13 |
52 |
57 |
64 |
70 |
77 |
85 |
93 |
103 |
113 |
125 |
138 |
155 |
173 |
196 |
journey, or whatever may be most convenient. | |||||||||
13 |
53 |
59 |
66 |
73 |
81 |
90 |
99 |
109 |
121 |
135 |
151 |
171 |
194 |
224 |
C the point on the other side of the river. | ||||||||||
14 |
55 |
62 |
69 |
77 |
85 |
95 |
106 |
118 |
132 |
148 |
167 |
193 |
u'a" the chord of the angle at A to radius 10. | ||||||||||||
Vb the chord of the angle at B to radius 10. | |||||||||||||||||||||||||
~ |
|||||||||||||||||||||||||
141 |
57 |
65 |
73 |
81 |
91 |
102 |
114 |
129 |
145 |
161 |
191 |
223 |
To find AC, enter the Table with a'a." at the side, and with b'b" at the top. | ||||||||||||
o |
15 |
60 |
68 |
77 |
87 |
99 |
110 |
126 |
143 |
164 |
184 |
-- To find BC, enter the Table with b'b" at the side, | |||||||||||||
15 f |
64 |
73 |
83 |
95 |
108 1123 |
141 |
163 |
191 |
218 |
and v,ith a'a" at the top. | |||||||||||||||
0 |
16 |
69 |
79 |
90 |
105 |
121 '140 1164 |
193. |
- | |||||||||||||||||
161 |
76 |
88 |
103 |
120 |
141 166 199 |
l•b 243 b'iple : 10paces00 yards; Al 87 yards | |||||||||||||||||||
1 I |
BP = 48 yards. |