Comandos geométricos compatibles con la Vista CAS

Angle[(1,0),(0,0),(1,2)]

$arctan \left( 2 \right)$

Numeric : 1.11 Input : 63.43° or 1.11 rad according Angle Unit selected

AngleBisector[(0,1),(0,0),(1,0)]

$y = x$

Numeric : $y = x$ Input : $- 0.71 x +0.71 y = 0$

Circumference[x²+y²=1/sqrt(π)]

$2 \; \sqrt{\pi \; \sqrt{\pi}}$

4.72

Distance[(0,0), x + y = 1] Simplify[Distance[(0,0), x+y=1]]

$\frac{1}{\sqrt{2}}$ $\frac{\sqrt{2}}{2}$

0.71

Distance[(0,0),x+2y=4] Simplify[Distance[(0,0),x+2y=4]]

$\frac{4}{\sqrt{5}}$ $4 \cdot \frac{\sqrt{5}}{5}$

1.79

Distance[(0,4),y=x^2] Simplify[Distance[(0,4),y=x^2]]

$\sqrt{ \left( \frac{7}{2} - 4 \right)^{2} + \left( -\frac{1}{2} \; \sqrt{14} \right)^{2}}$, $\frac{\sqrt{15}}{2}$

1.94

Distance[(0.5,0.5),x²+y²=1] Simplify[ Distance[(0.5,0.5),x²+y²=1]]

$\frac{\frac{1}{\sqrt{2}}}{\sqrt{2}} \; \sqrt{ \left( -\sqrt{2} + 1 \right) \; \left( -\sqrt{2} + 1 \right) \; \sqrt{2} \; \sqrt{2}}$, $\frac{-\sqrt{2} + 2}{2}$

0.29

Ellipse[(2,1),(5,2),(5,1)]

$28 \; x^{2} - 24 \; x \; y - 160 \; x + 60 \; y^{2} - 96 \; y + 256 = 0$

Numeric : $28 \; x^{2} - 24 \; x \; y - 160 \; x + 60 \; y^{2} - 96 \; y + 256 = 0$ Input : $7 \; x^{2} - 6 \; x \; y + 15 \; y^{2} - 40 \; x + - 24 \; y = - 64$

Ellipse[(2,1),(5,2),(6,1)]

$32 \; x^{2} \; \sqrt{2} + 36 \; x^{2} - 224 \; x \; \sqrt{2} - 24 \; x \; y - 216 \; x \; ...$ $\; ... + 32 \; \sqrt{2} \; y^{2} - 96 \; \sqrt{2} \; y + 256 \; \sqrt{2} + 68 \; y^{2} - 120 \; y + 196 = 0$

Numeric : $81.25 \; x^{2} - 24 \; x \; y - 532.78 \; x + 113.25 \; y^{2} - 255.76 \; y + 558.04 = 0$ Input : $81.25 \; x^{2} - 24 \; x \; y - 532.78 \; x + 113.25 \; y^{2} - 255.76 \; y = - 558.04$

Radius[x²+y²=1/sqrt(π)]

$\frac{\sqrt{\pi \; \sqrt{\pi}}}{\pi}$

0.75

Circle[(a,b),r]

(y - b)² + (x - a)² = r²

Distance[(a,b),(c,d)]

$\sqrt{ \left( b - d \right)^{2} + \left( a - c \right)^{2}}$

$\sqrt{a^{2} - 2 \; a \; c + b^{2} - 2 \; b \; d + c^{2} + d^{2}}$

Distance[(a,b),p x + q y = r]

Line[(a,b),(c,d)]

$y = \frac{x}{a - c} \; \left( b - d \right) + \frac{1}{a - c} \; \left( a \; d - b \; c \right)$

$y = \frac{a \; d - b \; c + b \; x - d \; x}{a - c}$

Line[(a,b),y=p x+q]

$y = p x - a p + b$

$y = -a p + b + p x$

MidPoint[(a,b),(c,d)]

$\left( \frac{a + c}{2}, \frac{b + d}{2} \right)$

$\left( 0.5 \; a + 0.5 \; c, 0.5 \; b + 0.5 \; d \right)$

PerpendicularBisector[(a,b),(c,d)]

$y = \frac{-a + c}{b - d} \; x + \frac{a^{2} + b^{2} - c^{2} - d^{2}}{2 \; b - 2 \; d}$

$y = \frac{a^{2} - 2 \; a \; x + b^{2} - c^{2} + 2 \; c \; x - d^{2}}{2 \; b - 2 \; d}$