







A common tangent to two general parabolas 
20151115 

Kind pose la question : Hi,
I want to find the common tangent of two general parabolas, but i don't know if it's possible or not.
If it's possible, please make a tutorial.
The first parabola equation : Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0.
The second parabola equation : Gx^2 + Hxy + Iy^2 + Jx + Ky + L = 0.
I need this because i want to find the equation of Beloch fold. (Huzita  Hatori 6th axiom)
However if you know any other method to find Beloch folds equation, I am open for any suggestions. Chris Fisher lui répond. 





A common tangent to two curves 
20090302 

Jay pose la question : For what values of a and b will the parabola y = x^2 + ax + b be tangent to the curve y = x^3 at (1,1)? Penny Nom lui répond. 





Two tangent circles and common tangents 
20081201 

Alan pose la question : Radius of big circle 30cm, radius of small circle 10 cm. From the diagram, the radius from the tangent do not form a semicircle but at an angle. Find the perimeter of the band around both the circle. May need to use trigonometry to find reflex angle AOB, CMD and get the major arc length AB and minor arc length CD Penny lui répond. 





Two tangent circles 
20080822 

Michele pose la question : A circle of radius 2 is externally tangent to a circle of radius 8,
How do you find the length of their common tangent. Penny Nom lui répond. 





A common tangent line 
20070220 

chris pose la question : I have this problem I have been working on for days and cannot figure it out. it states: Find the two points on the curve y=x^4  2x^2  x that have a common tangent line.
I know you use the first derivative to find the tangent line so if it is a common tangent line should you find two of the exact same tangent line equations at two coordinate points? Chris Fisher lui répond. 





A common tangent line 
20041005 

Shanup pose la question : The xaxis is a common tangent of y = x^2 and y = x^3. Find the equation of another common tangent. Penny Nom lui répond. 





Common tangents 
20010408 

Anne pose la question : I have been working on this problem for a while but I'm not sure I'm getting the right answer: Find the common tangents of 2y=x^{2} and 2y=x^{2}16 Thanks for the help. :) Harley Weston` lui répond. 

