mat art3 curvas sobre curvas. n-hipocicloide(r,r) [hipotrocoide]...
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![Page 1: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/1.jpg)
MateArt3curvas sobre curvas
![Page 2: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/2.jpg)
n-hipocicloide(R,r) [hipotrocoide]
x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r)y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r)
n-epicicloide(R,r) [epitrocoide]
x=(R+r)*COS(t)-(r/n)*COS((R+r)*t/r)y =(R+r)*SENO(t)-(r/n)*SENO((R+r)*t/r)
![Page 3: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/3.jpg)
Astroide
1-hipo (4,1)
Hipocicloide de Steiner
1-hipo (3,1)
![Page 4: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/4.jpg)
5-hipo (7,5)
1-hipo (9,1)
2-hipo (7,2)
![Page 5: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/5.jpg)
Nefroide de Huygens
1-epi(2,1)
Cardiode
1-epi (1,1)
![Page 6: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/6.jpg)
Corona
3-epi(13,3)
Trébol
1-epi (3,1)
![Page 7: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/7.jpg)
tetralóbulo arabesco
2-epi(4,1)
tetralóbulo
1-epi (4,1)
![Page 8: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/8.jpg)
no cierra
2-e/h(9,5)
cierra
4-e/h (9,5)
![Page 9: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/9.jpg)
no cierra
6-e/h(15,8)
cierra
7-e/h (15,8)
![Page 10: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/10.jpg)
triángulo central cóncavo
9-e/h(21,14)
triángulo central convexo
5-e/h (21,14)
![Page 11: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/11.jpg)
heptaestrella
3-e/h(7,3)
estrella de David
3-e/h (5,3)
![Page 12: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/12.jpg)
elipse 2
2-e/h (6,3)
elipse 1
1-e/h (6,3)
¿elipse ?
elipse engarza
da3-e/h (6,3)
4-e/h (6,3)
![Page 13: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/13.jpg)
¿hexágono?
1-e/h (16,6)
¿cuadrado?
1-e/h (16,4)
![Page 14: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/14.jpg)
y fin generando…
13-e/h (43,13)
![Page 15: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/15.jpg)
generando…
generando…
37-e/h (97,48)
![Page 16: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/16.jpg)
generando…
generando…
29-e/h (72,31)
![Page 17: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/17.jpg)
generando…
generando…
57-e/h (56,61)
![Page 18: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/18.jpg)
¿es posible?13-e/h(21,8)
rosa de 21 pétalos
8-e/h (21,13)
![Page 19: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/19.jpg)
qué locura 2
5-e/h(9,2)
qué locura 1
16-e/h (7,23)
![Page 20: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/20.jpg)
qué locura 4744-e/h(115,119)
qué locura 3
37-e/h (29,31)
![Page 21: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/21.jpg)
caos 2
caos1
![Page 22: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/22.jpg)
![Page 23: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/23.jpg)
![Page 24: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/24.jpg)
![Page 25: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/25.jpg)
![Page 26: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/26.jpg)
![Page 27: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/27.jpg)
![Page 28: Mat Art3 curvas sobre curvas. n-hipocicloide(R,r) [hipotrocoide] x=(R-r)*COS(t)+(r/n)*COS((R-r)*t/r) y =(R-r)*SENO(t)-(r/n)*SENO((R-r)*t/r) n-epicicloide(R,r)](https://reader038.vdocuments.site/reader038/viewer/2022102419/5665b4441a28abb57c9089d2/html5/thumbnails/28.jpg)