# What Is The Formula Of \

I have plotted this equation \$x^2=y^2-z^2\$ using Wolfram|Alpha và I got this graph: I have made these changes to lớn the equation:

First equation solution:

\$y=-sqrty^2-x^2\$ Second equation solution:

\$y=sqrty^2-x^2\$ I want lớn make this by hand. How vị I can bởi it? Which coordinate system I need to lớn use to graph it? Write it as \$x^2 + z^2 = y^2\$. Cảnh báo that y is the hypotenuse of a triangle with length x và height z. So, this forms a circular cone opening as you increase in y or decrease in y.

Bạn đang xem: What is the formula of \ This figure is the (double) cone of equation \$x^2=y^2-z^2\$.

The gray plane is the plane \$(x,y)\$.

You can see that it is a cone noting that for any \$y=a\$ the projection of the surface on the plane \$(x,z)\$ is a circumference of radius \$a\$ with equation \$z^2+x^2=a^2\$.

Note that \$z=sqrty^2-x^2\$ is the semi-cone with \$z>0\$, i.e. Above the plane \$(x,y)\$ và \$z=-sqrty^2-x^2\$ is the semi-cone below this plane.

Xem thêm: Soạn Bài Thực Hành Tiếng Việt Trang 66 Kết Nối Tri Thức, Please Wait  y^2 = x^2 + z^2 has the khung of an equation for a circle. So, you are stacking, in the y direction, circles of increasing radius, one on đứng top of the other. Thanks for contributing an answer to maybomnuocchuachay.vnematics Stack Exchange!

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