Expression 204: StartFraction, left parenthesis, "x" cos phi Subscript, 6 , Baseline minus "y" sin phi Subscript, 6 , Baseline minus "h" Subscript, 6 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 6 , Baseline plus "x" sin phi Subscript, 6 , Baseline minus "k" Subscript, 6 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" greater than or equal to 0.6 2 2 5 6 , right bracexcosϕ6−ysinϕ6−h62a26+ycosϕ6+xsinϕ6−k62b26=c26x≥0.62256
204
Expression 205: StartFraction, left parenthesis, "x" cos phi Subscript, 6 , Baseline minus "y" sin phi Subscript, 6 , Baseline minus "h" Subscript, 6 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 6 , Baseline plus "x" sin phi Subscript, 6 , Baseline minus "k" Subscript, 6 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to 0.6 2 2 5 6 , right brace left brace, "y" less than or equal to negative 1.0 7 7 0 2 , right bracexcosϕ6−ysinϕ6−h62a26+ycosϕ6+xsinϕ6−k62b26=c26x≤0.62256y≤−1.07702
205
Petal 7:
206
Expression 207: StartFraction, left parenthesis, "x" cos phi Subscript, 7 , Baseline minus "y" sin phi Subscript, 7 , Baseline minus "h" Subscript, 7 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 7 , Baseline plus "x" sin phi Subscript, 7 , Baseline minus "k" Subscript, 7 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" greater than or equal to 1.2 5 5 7 5 , right bracexcosϕ7−ysinϕ7−h72a27+ycosϕ7+xsinϕ7−k72b27=c27x≥1.25575
207
Expression 208: StartFraction, left parenthesis, "x" cos phi Subscript, 7 , Baseline minus "y" sin phi Subscript, 7 , Baseline minus "h" Subscript, 7 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 7 , Baseline plus "x" sin phi Subscript, 7 , Baseline minus "k" Subscript, 7 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to 1.2 5 5 7 5 , right brace left brace, "y" greater than or equal to negative 0.3 6 6 7 2 , right bracexcosϕ7−ysinϕ7−h72a27+ycosϕ7+xsinϕ7−k72b27=c27x≤1.25575y≥−0.36672
208
Expression 209: StartFraction, left parenthesis, "x" cos phi Subscript, 7 , Baseline minus "y" sin phi Subscript, 7 , Baseline minus "h" Subscript, 7 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 7 , Baseline plus "x" sin phi Subscript, 7 , Baseline minus "k" Subscript, 7 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to 0.8 8 6 9 3 , right brace left brace, "y" less than or equal to negative 0.7 5 3 3 3 , right bracexcosϕ7−ysinϕ7−h72a27+ycosϕ7+xsinϕ7−k72b27=c27x≤0.88693y≤−0.75333
209
Petal 8:
210
Expression 211: StartFraction, left parenthesis, "x" cos phi Subscript, 8 , Baseline minus "y" sin phi Subscript, 8 , Baseline minus "h" Subscript, 8 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 8 , Baseline plus "x" sin phi Subscript, 8 , Baseline minus "k" Subscript, 8 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" greater than or equal to 1.8 4 9 3 2 , right bracexcosϕ8−ysinϕ8−h82a28+ycosϕ8+xsinϕ8−k82b28=c28x≥1.84932
211
Expression 212: StartFraction, left parenthesis, "x" cos phi Subscript, 8 , Baseline minus "y" sin phi Subscript, 8 , Baseline minus "h" Subscript, 8 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 8 , Baseline plus "x" sin phi Subscript, 8 , Baseline minus "k" Subscript, 8 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to 1.8 4 9 0 5 , right brace left brace, "y" less than or equal to 0.1 1 4 5 2 , right bracexcosϕ8−ysinϕ8−h82a28+ycosϕ8+xsinϕ8−k82b28=c28x≤1.84905y≤0.11452
212
Expression 213: StartFraction, left parenthesis, "x" cos phi Subscript, 8 , Baseline minus "y" sin phi Subscript, 8 , Baseline minus "h" Subscript, 8 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 8 , Baseline plus "x" sin phi Subscript, 8 , Baseline minus "k" Subscript, 8 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to 1.0 3 8 9 0 , right brace left brace, "y" greater than or equal to 0.5 4 2 3 3 , right bracexcosϕ8−ysinϕ8−h82a28+ycosϕ8+xsinϕ8−k82b28=c28x≤1.03890y≥0.54233
213
Petal 9:
214
Expression 215: StartFraction, left parenthesis, "x" cos phi Subscript, 9 , Baseline minus "y" sin phi Subscript, 9 , Baseline minus "h" Subscript, 9 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 9 , Baseline plus "x" sin phi Subscript, 9 , Baseline minus "k" Subscript, 9 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" greater than or equal to 1.5 7 0 8 5 , right bracexcosϕ9−ysinϕ9−h92a29+ycosϕ9+xsinϕ9−k92b29=c29x≥1.57085
215
Expression 216: StartFraction, left parenthesis, "x" cos phi Subscript, 9 , Baseline minus "y" sin phi Subscript, 9 , Baseline minus "h" Subscript, 9 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 9 , Baseline plus "x" sin phi Subscript, 9 , Baseline minus "k" Subscript, 9 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" greater than or equal to 0.8 4 4 3 4 , right brace left brace, "y" less than or equal to 0.9 7 7 0 8 , right bracexcosϕ9−ysinϕ9−h92a29+ycosϕ9+xsinϕ9−k92b29=c29x≥0.84434y≤0.97708
216
Petal 10:
217
Expression 218: StartFraction, left parenthesis, "x" cos phi Subscript, 10 , Baseline minus "y" sin phi Subscript, 10 , Baseline minus "h" Subscript, 10 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 10 , Baseline plus "x" sin phi Subscript, 10 , Baseline minus "k" Subscript, 10 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" greater than or equal to 0.5 7 4 0 2 , right bracexcosϕ10−ysinϕ10−h102a210+ycosϕ10+xsinϕ10−k102b210=c210x≥0.57402
218
Expression 219: StartFraction, left parenthesis, "x" cos phi Subscript, 10 , Baseline minus "y" sin phi Subscript, 10 , Baseline minus "h" Subscript, 10 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 10 , Baseline plus "x" sin phi Subscript, 10 , Baseline minus "k" Subscript, 10 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to 0.5 7 4 0 2 , right brace left brace, "y" greater than or equal to 2.0 7 7 2 1 , right bracexcosϕ10−ysinϕ10−h102a210+ycosϕ10+xsinϕ10−k102b210=c210x≤0.57402y≥2.07721
219
Expression 220: StartFraction, left parenthesis, "x" cos phi Subscript, 10 , Baseline minus "y" sin phi Subscript, 10 , Baseline minus "h" Subscript, 10 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 10 , Baseline plus "x" sin phi Subscript, 10 , Baseline minus "k" Subscript, 10 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to 0.1 4 8 6 1 , right brace left brace, "y" less than or equal to 1.3 6 9 5 1 , right bracexcosϕ10−ysinϕ10−h102a210+ycosϕ10+xsinϕ10−k102b210=c210x≤0.14861y≤1.36951
220
Petal 11:
221
Expression 222: StartFraction, left parenthesis, "x" cos phi Subscript, 11 , Baseline minus "y" sin phi Subscript, 11 , Baseline minus "h" Subscript, 11 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 11 , Baseline plus "x" sin phi Subscript, 11 , Baseline minus "k" Subscript, 11 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" greater than or equal to negative 0.5 5 9 0 2 , right brace left brace, "y" greater than or equal to 3.1 1 6 6 9 , right bracexcosϕ11−ysinϕ11−h112a211+ycosϕ11+xsinϕ11−k112b211=c211x≥−0.55902y≥3.11669
222
Petal 12:
223
Expression 224: StartFraction, left parenthesis, "x" cos phi Subscript, 12 , Baseline minus "y" sin phi Subscript, 12 , Baseline minus "h" Subscript, 12 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 12 , Baseline plus "x" sin phi Subscript, 12 , Baseline minus "k" Subscript, 12 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to negative 1.2 7 4 7 0 , right brace left brace, "y" greater than or equal to 2.5 9 4 0 7 , right bracexcosϕ12−ysinϕ12−h122a212+ycosϕ12+xsinϕ12−k122b212=c212x≤−1.27470y≥2.59407
224
Petal 13:
225
Expression 226: StartFraction, left parenthesis, "x" cos phi Subscript, 13 , Baseline minus "y" sin phi Subscript, 13 , Baseline minus "h" Subscript, 13 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 13 , Baseline plus "x" sin phi Subscript, 13 , Baseline minus "k" Subscript, 13 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to negative 2.5 0 2 2 7 , right brace left brace, "y" greater than or equal to 1.6 2 2 3 3 , right bracexcosϕ13−ysinϕ13−h132a213+ycosϕ13+xsinϕ13−k132b213=c213x≤−2.50227y≥1.62233
226
Petal 14:
227
Expression 228: StartFraction, left parenthesis, "x" cos phi Subscript, 14 , Baseline minus "y" sin phi Subscript, 14 , Baseline minus "h" Subscript, 14 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 14 , Baseline plus "x" sin phi Subscript, 14 , Baseline minus "k" Subscript, 14 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to negative 2.8 6 8 8 1 , right brace left brace, "y" greater than or equal to negative 0.6 7 1 6 5 , right bracexcosϕ14−ysinϕ14−h142a214+ycosϕ14+xsinϕ14−k142b214=c214x≤−2.86881y≥−0.67165
228
Expression 229: StartFraction, left parenthesis, "x" cos phi Subscript, 14 , Baseline minus "y" sin phi Subscript, 14 , Baseline minus "h" Subscript, 14 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 14 , Baseline plus "x" sin phi Subscript, 14 , Baseline minus "k" Subscript, 14 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" greater than or equal to negative 1.0 9 4 5 4 , right brace left brace, "y" less than or equal to negative 0.2 3 2 0 9 , right bracexcosϕ14−ysinϕ14−h142a214+ycosϕ14+xsinϕ14−k142b214=c214x≥−1.09454y≤−0.23209
229
Petal 15:
230
Expression 231: StartFraction, left parenthesis, "x" cos phi Subscript, 15 , Baseline minus "y" sin phi Subscript, 15 , Baseline minus "h" Subscript, 15 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 15 , Baseline plus "x" sin phi Subscript, 15 , Baseline minus "k" Subscript, 15 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to negative 1.7 5 7 8 8 , right brace left brace, "y" less than or equal to negative 1.6 4 3 7 6 , right bracexcosϕ15−ysinϕ15−h152a215+ycosϕ15+xsinϕ15−k152b215=c215x≤−1.75788y≤−1.64376
231
Petal 16:
232
Expression 233: StartFraction, left parenthesis, "x" cos phi Subscript, 16 , Baseline minus "y" sin phi Subscript, 16 , Baseline minus "h" Subscript, 16 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 16 , Baseline plus "x" sin phi Subscript, 16 , Baseline minus "k" Subscript, 16 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to 0.4 6 4 1 8 , right brace left brace, "y" less than or equal to negative 2.8 8 1 2 2 , right bracexcosϕ16−ysinϕ16−h162a216+ycosϕ16+xsinϕ16−k162b216=c216x≤0.46418y≤−2.88122
233
Petal 17:
234
Expression 235: StartFraction, left parenthesis, "x" cos phi Subscript, 17 , Baseline minus "y" sin phi Subscript, 17 , Baseline minus "h" Subscript, 17 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 17 , Baseline plus "x" sin phi Subscript, 17 , Baseline minus "k" Subscript, 17 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" greater than or equal to 1.5 4 9 8 7 , right brace left brace, "y" less than or equal to negative 2.0 6 9 9 3 , right bracexcosϕ17−ysinϕ17−h172a217+ycosϕ17+xsinϕ17−k172b217=c217x≥1.54987y≤−2.06993
235
Petal 18:
236
Expression 237: StartFraction, left parenthesis, "x" cos phi Subscript, 18 , Baseline minus "y" sin phi Subscript, 18 , Baseline minus "h" Subscript, 18 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 18 , Baseline plus "x" sin phi Subscript, 18 , Baseline minus "k" Subscript, 18 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" greater than or equal to 2.7 5 4 6 8 , right brace left brace, "y" greater than or equal to negative 1.1 1 5 5 3 , right bracexcosϕ18−ysinϕ18−h182a218+ycosϕ18+xsinϕ18−k182b218=c218x≥2.75468y≥−1.11553
237
Expression 238: StartFraction, left parenthesis, "x" cos phi Subscript, 18 , Baseline minus "y" sin phi Subscript, 18 , Baseline minus "h" Subscript, 18 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 18 , Baseline plus "x" sin phi Subscript, 18 , Baseline minus "k" Subscript, 18 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to 1.0 5 7 4 1 , right brace left brace, "y" less than or equal to negative 0.3 3 6 4 7 , right bracexcosϕ18−ysinϕ18−h182a218+ycosϕ18+xsinϕ18−k182b218=c218x≤1.05741y≤−0.33647
238
Expression 239: StartFraction, left parenthesis, "x" cos phi Subscript, 18 , Baseline minus "y" sin phi Subscript, 18 , Baseline minus "h" Subscript, 18 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 18 , Baseline plus "x" sin phi Subscript, 18 , Baseline minus "k" Subscript, 18 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to 1.1 1 2 6 7 , right brace left brace, "y" greater than or equal to 0.0 8 3 0 0 , right bracexcosϕ18−ysinϕ18−h182a218+ycosϕ18+xsinϕ18−k182b218=c218x≤1.11267y≥0.08300
239
Petal 19:
240
Expression 241: StartFraction, left parenthesis, "x" cos phi Subscript, 19 , Baseline minus "y" sin phi Subscript, 19 , Baseline minus "h" Subscript, 19 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 19 , Baseline plus "x" sin phi Subscript, 19 , Baseline minus "k" Subscript, 19 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" greater than or equal to 2.3 7 6 7 6 , right brace left brace, "y" greater than or equal to 1.3 8 4 8 6 , right bracexcosϕ19−ysinϕ19−h192a219+ycosϕ19+xsinϕ19−k192b219=c219x≥2.37676y≥1.38486
241
Petal 20:
242
Expression 243: StartFraction, left parenthesis, "x" cos phi Subscript, 20 , Baseline minus "y" sin phi Subscript, 20 , Baseline minus "h" Subscript, 20 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 20 , Baseline plus "x" sin phi Subscript, 20 , Baseline minus "k" Subscript, 20 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to negative 3.2 6 4 7 9 , right brace left brace, "y" greater than or equal to negative 0.0 1 1 5 0 , right bracexcosϕ20−ysinϕ20−h202a220+ycosϕ20+xsinϕ20−k202b220=c220x≤−3.26479y≥−0.01150
243
Petal 21:
244
Expression 245: StartFraction, left parenthesis, "x" cos phi Subscript, 21 , Baseline minus "y" sin phi Subscript, 21 , Baseline minus "h" Subscript, 21 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 21 , Baseline plus "x" sin phi Subscript, 21 , Baseline minus "k" Subscript, 21 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" less than or equal to negative 0.3 0 7 2 1 , right brace left brace, "y" less than or equal to negative 3.2 9 6 1 6 , right bracexcosϕ21−ysinϕ21−h212a221+ycosϕ21+xsinϕ21−k212b221=c221x≤−0.30721y≤−3.29616
245
Petal 22:
246
Expression 247: StartFraction, left parenthesis, "x" cos phi Subscript, 22 , Baseline minus "y" sin phi Subscript, 22 , Baseline minus "h" Subscript, 22 , Baseline , right parenthesis squared Over "a" squared , EndFraction plus StartFraction, left parenthesis, "y" cos phi Subscript, 22 , Baseline plus "x" sin phi Subscript, 22 , Baseline minus "k" Subscript, 22 , Baseline , right parenthesis squared Over "b" squared , EndFraction equals "c" squared left brace, "x" greater than or equal to 3.3 8 3 5 1 , right brace left brace, "y" less than or equal to 0.6 8 9 2 0 , right bracexcosϕ22−ysinϕ22−h222a222+ycosϕ22+xsinϕ22−k222b222=c222x≥3.38351y≤0.68920
