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358:{\displaystyle f(z)=\sum _{n=0}^{\infty }{2n \choose n}z^{2n+1}=z+2z^{3}+6z^{5}+20z^{7}+\cdots }
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are the two branches of the bullet curve at the origin.
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425:{\displaystyle y=f\left({\frac {x}{2a}}\right)\pm 2b\ }
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196:, and is therefore a unicursal (rational) curve of
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136:{\displaystyle a^{2}y^{2}-b^{2}x^{2}=x^{2}y^{2}\,}
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16:Plane curve of the form a²y² – b²x² = x²y²
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492:. You can help Knowledge (XXG) by
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449:A catalog of special plane curves
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453:. Dover Publications. pp.
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1:
445:J. Dennis Lawrence (1972).
146:The bullet curve has three
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549:Algebraic geometry stubs
56:, given by the equation
50:unicursal quartic curve
23:Bullet-nose curve with
488:–related article is a
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54:inflection points
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539:Plane curves
494:expanding it
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52:with three
42:mathematics
533:Categories
439:References
411:±
353:⋯
245:∞
230:∑
87:−
455:128–130
150:in the
461:
420:
200:zero.
182:, and
484:This
368:then
198:genus
154:, at
48:is a
490:stub
459:ISBN
203:If
189:and
175:and
161:and
44:, a
30:and
194:= 0
187:= 0
180:= 0
173:= 0
166:= 0
159:= 0
40:In
35:= 1
28:= 1
535::
457:.
337:20
168:,
521:e
514:t
507:v
496:.
467:.
417:b
414:2
407:)
401:a
398:2
394:x
389:(
385:f
382:=
379:y
350:+
345:7
341:z
334:+
329:5
325:z
321:6
318:+
313:3
309:z
305:2
302:+
299:z
296:=
291:1
288:+
285:n
282:2
278:z
271:)
266:n
262:n
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253:(
240:0
237:=
234:n
226:=
223:)
220:z
217:(
214:f
192:z
185:y
178:z
171:x
164:y
157:x
128:2
124:y
118:2
114:x
110:=
105:2
101:x
95:2
91:b
82:2
78:y
72:2
68:a
33:b
26:a
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