Formulario complementario de Matemáticas

La Recta

Formula [pic 1]

X=A+B (t)

Y=C-D (t)

Función paramétrica

X=2+3(t)

Y=4-9(t)

[pic 2]

Circulo

Formula [pic 3]

X= a cos (t)

Y= a sin (t)

Función paramétrica

X= 6 cos (t)

Y= 6 sin (t)

 [pic 4]

Cicloide

Formula[pic 5]

X= a [t) – sin (t)]

Y= a [1-cos (t)]

Función paramétrica

X= 2 [(t)-sin (t)]

Y=2[1-cos (t)]

[pic 6]

Epicicloide

Formula[pic 7]

X=(R+r) cos (t)-r cos (t*R/r) (t)

Y=(R+r) sin (t)-r sin (t*R/r) (t)

Función paramétrica

X= (4+5) cos (t)-5cos ((4*5+1) t)

Y= (4+5) sin (t)-5sin ((4*5+1) t)

[pic 8]

Epitrocoide

Formula                                                                                             Tabla[pic 9]

X=(a+b) cos (t) - c cos ((a*b+1) t)

Y=(a+b) sin (t)-c sin ((a*b+1) t)

Función paramétrica

X= (2+5) cos (t)-7 cos ((2*5+1) t)

Y= (2+5) sin (t)-7 sin ((2*5+1) t)

 [pic 10]

Elipse

Formula[pic 11]

X=a cos (t)

Y=b sin (t)

Función paramétrica

X=3 cos (t)

Y=4 sin (t)

[pic 12]

Trocoide

Formula[pic 13]

X=a (t) – b sin (t)

Y=a – b cos (t)

Función paramétrica        

X=6(t)-4 sin (t)

Y=6-4 cos (t)

[pic 14]

Deltoide

Formula [pic 15]

X=a cos (t)+ b cos (2t)

Y=a sin (t)-b sin (2t)

Función paramétrica

X=8cos (t)+4cos (2t)

Y=8sin (t)-4sin (2t)

[pic 16]

Astroide

Formula[pic 17]

X=a cosᵌ (t)

Y=a sinᵌ (t)

Función paramétrica

X=7(cos (t)) ^3

Y=7(sin (t)) ^3

[pic 18]

Folio de Descartes

Formula [pic 19]

X=at/1+tᵌ

Y=at²/1+tᵌ

Función paramétrica

5t/ (1+t^3)

5t^2/(1+t^3)

[pic 20]

Bicorne

Formula [pic 21]

X= a sin (t)

Y= a (cos (t)) ^2/2-cos (t)

Función paramétrica

X= 9 sin (t)

Y= 9 (cos (t)) ^2 / 2-cos (t)

[pic 22]

Serpentina

Formula [pic 23]

X= a cot (t)

Y=b sin (t) cos (t)

Función paramétrica

X= 6 cot (t)

Y=8 sin (t) cos (t)

[pic 24]

Bruja de Agnesi

Formula [pic 25]

x = 2a cot θ

y = a (1 - cos 2θ)

Función paramétrica

X=2 (20) cot (t)

Y=20(1-cos (2t))

[pic 26]

Cisoide

Formula [pic 27]

X=2a sen2 (t)

Y=2a sen3 (t)/cos (t)

Función paramétrica

X= [2(6)] Sin (t) ^2

Y=2(6) sin (t) ^3/cos (t)

[pic 28]

Concoide

Formula[pic 29]

 x = a + cos (t)                                            

y = a tan (t) + sen (t)

Función paramétrica

X= (1+cos (t))

Y= (1) (tan (t)+sin (t))

[pic 30]

Lemniscata de Bernoulli

Formula [pic 31]

x=a sen (t)/ (1+cos2 (t))

y=a sen (t) cos (t)/ (1+cos2 (t))

Función paramétrica

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