208:
17:
52:. The measurement is done by counting crossings of the curve with grid lines. The number of crossings is the approximate length of the curve in millimetres.
249:
109:
59:, according to which the length of a curve equals the expected number of times it is crossed by a random line.
268:
278:
44:
It is a transparent sheet of three grids, turned against each other by 30 degrees, each consisting of
193:
242:
223:
99:
273:
8:
71:, a mechanical device for measuring curve length by rolling a small wheel along the curve
45:
235:
187:
105:
78:
162:
56:
219:
177:
74:
29:
262:
55:
The design of the
Steinhaus longimeter can be seen as an application of the
215:
68:
49:
33:
181:
128:
Hugo
Steinhaus: Zur Praxis der Rectification und zum Längenbegriff,
77:, a similar transparency-based device for estimating area, based on
207:
150:
16:
101:
Measurements from Maps: Principles and
Methods of Cartometry
144:
Comptes Rendus Soc. des
Sciences et des Lettres de Wrocław
130:
Berichte der Sächsischen
Akademie der Wissenschaften
166:, 3rd ed. New York: Dover, pp. 105–110, 1999.
260:
243:
194:Download a PDF recreation of the Longimeter
250:
236:
15:
32:, is an instrument used to measure the
261:
97:
104:, Butterworth-Heinemann, p. 48,
48:lines spaced at equal distances 3.82
202:
13:
14:
290:
171:
206:
178:Weisstein, Eric W. "Longimeter."
184:— A Wolfram Web Resource.
121:
91:
39:
1:
84:
222:. You can help Knowledge by
28:, patented by the professor
7:
62:
10:
295:
201:
188:Information about patent
132:82, 120–130, 1930.
155:Colloquium Mathematicum
218:-related article is a
163:Mathematical Snapshots
151:Length, shape and area
98:Maling, D. H. (2016),
21:
19:
26:Steinhaus longimeter
20:Steinhaus longimeter
269:Mathematical tools
22:
279:Mathematics stubs
231:
230:
157:3(1), 1–13, 1954.
34:lengths of curves
286:
252:
245:
238:
210:
203:
160:Hugo Steinhaus:
149:Hugo Steinhaus:
142:Hugo Steinhaus:
135:Hugo Steinhaus:
115:
114:
95:
294:
293:
289:
288:
287:
285:
284:
283:
259:
258:
257:
256:
199:
174:
169:
146:, SĂ©r. B, 1949.
137:Przeglad Geogr.
124:
119:
118:
112:
96:
92:
87:
65:
57:Crofton formula
42:
12:
11:
5:
292:
282:
281:
276:
271:
255:
254:
247:
240:
232:
229:
228:
211:
197:
196:
191:
190:(DRGM 1241513)
185:
173:
172:External links
170:
168:
167:
158:
147:
140:
133:
125:
123:
120:
117:
116:
110:
89:
88:
86:
83:
82:
81:
79:Pick's theorem
75:Dot planimeter
72:
64:
61:
41:
38:
30:Hugo Steinhaus
9:
6:
4:
3:
2:
291:
280:
277:
275:
272:
270:
267:
266:
264:
253:
248:
246:
241:
239:
234:
233:
227:
225:
221:
217:
212:
209:
205:
204:
200:
195:
192:
189:
186:
183:
179:
176:
175:
165:
164:
159:
156:
152:
148:
145:
141:
138:
134:
131:
127:
126:
113:
111:9780080984124
107:
103:
102:
94:
90:
80:
76:
73:
70:
67:
66:
60:
58:
53:
51:
47:
37:
35:
31:
27:
18:
224:expanding it
213:
198:
161:
154:
143:
136:
129:
122:Bibliography
100:
93:
54:
43:
25:
23:
274:Cartography
216:mathematics
40:Description
263:Categories
85:References
69:Opisometer
182:MathWorld
139:21, 1947.
36:on maps.
63:See also
46:parallel
108:
214:This
180:From
220:stub
106:ISBN
24:The
265::
153:,
50:mm
251:e
244:t
237:v
226:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.