31:
61:
In physical problems, the choice of origin is often arbitrary, meaning any choice of origin will ultimately give the same answer. This allows one to pick an origin point that makes the mathematics as simple as possible, often by taking advantage of some kind of
86:โthat is, the positions of their projections along each axis, either in the positive or negative direction. The coordinates of the origin are always all zero, for example (0,0) in two dimensions and (0,0,0) in three.
82:
of the system intersect. The origin divides each of these axes into two halves, a positive and a negative semiaxis. Points can then be located with reference to the origin by giving their numerical
98:, the origin may also be called the pole. It does not itself have well-defined polar coordinates, because the polar coordinates of a point include the angle made by the positive
299:
274:
247:
220:
192:
146:
321:
75:
95:
157:
102:-axis and the ray from the origin to the point, and this ray is not well-defined for the origin itself.
63:
269:, Pure and Applied Undergraduate Texts, vol. 21, American Mathematical Society, p. 134,
106:
295:
270:
264:
243:
237:
216:
188:
182:
51:
79:
47:
208:
125:
121:
30:
315:
151:
113:
140:
83:
58:, used as a fixed point of reference for the geometry of the surrounding space.
39:
17:
117:
109:, the origin may be chosen freely as any convenient point of reference.
215:, Springer series in Soviet mathematics, Springer-Verlag, p. 73,
29:
128:
294:, Chapman & Hall Pure and Applied Mathematics, CRC Press,
160:, a function depending only on the distance from the origin
187:, Delmar drafting series, Thompson Learning, p. 120,
154:, a topological space with a distinguished point
124:intersect each other. In other words, it is the
8:
34:The origin of a Cartesian coordinate system
176:
174:
170:
143:, an analogous point of a vector space
27:Point of reference in Euclidean space
7:
78:, the origin is the point where the
116:can be referred as the point where
25:
147:Distance from a point to a plane
54:, usually denoted by the letter
184:Engineering Drawing and Design
1:
236:Tanton, James Stuart (2005),
239:Encyclopedia of Mathematics
213:Learning higher mathematics
76:Cartesian coordinate system
338:
292:Classical Complex Analysis
181:Madsen, David A. (2001),
290:Gonzalez, Mario (1991),
90:Other coordinate systems
242:, Infobase Publishing,
96:polar coordinate system
322:Elementary mathematics
35:
263:Lee, John M. (2013),
158:Radial basis function
70:Cartesian coordinates
33:
266:Axiomatic Geometry
209:Pontrjagin, Lev S.
112:The origin of the
107:Euclidean geometry
64:geometric symmetry
36:
16:(Redirected from
329:
306:
304:
287:
281:
279:
260:
254:
252:
233:
227:
225:
205:
199:
197:
178:
21:
337:
336:
332:
331:
330:
328:
327:
326:
312:
311:
310:
309:
302:
289:
288:
284:
277:
262:
261:
257:
250:
235:
234:
230:
223:
207:
206:
202:
195:
180:
179:
172:
167:
137:
92:
72:
48:Euclidean space
28:
23:
22:
15:
12:
11:
5:
335:
333:
325:
324:
314:
313:
308:
307:
300:
282:
275:
255:
248:
228:
221:
200:
193:
169:
168:
166:
163:
162:
161:
155:
149:
144:
136:
133:
126:complex number
122:imaginary axis
91:
88:
71:
68:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
334:
323:
320:
319:
317:
303:
301:9780824784157
297:
293:
286:
283:
278:
276:9780821884782
272:
268:
267:
259:
256:
251:
249:9780816051243
245:
241:
240:
232:
229:
224:
222:9783540123514
218:
214:
210:
204:
201:
196:
194:9780766816343
190:
186:
185:
177:
175:
171:
164:
159:
156:
153:
152:Pointed space
150:
148:
145:
142:
139:
138:
134:
132:
130:
127:
123:
119:
115:
114:complex plane
110:
108:
103:
101:
97:
89:
87:
85:
81:
77:
69:
67:
65:
59:
57:
53:
50:is a special
49:
45:
41:
32:
19:
18:Origin (math)
291:
285:
265:
258:
238:
231:
212:
203:
183:
111:
104:
99:
93:
73:
60:
55:
43:
37:
141:Null vector
84:coordinates
40:mathematics
165:References
118:real axis
316:Category
211:(1984),
135:See also
298:
273:
246:
219:
191:
44:origin
42:, the
94:In a
74:In a
52:point
46:of a
296:ISBN
271:ISBN
244:ISBN
217:ISBN
189:ISBN
129:zero
120:and
80:axes
105:In
38:In
318::
173:^
131:.
66:.
305:.
280:.
253:.
226:.
198:.
100:x
56:O
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.