Prove the blue and red angles are supplementary and $a:b = c^2:d^2$.
Prove $\dfrac{CO}{PO} = \dfrac{a+b}{c}$.
Prove $a':a = p:2R$.
Given $ab = cd$. Prove the red line segments are congruent.
The yellow triangle is isosceles. Prove $a:b = c:d$.
The yellow arc is a semicircle. Prove $a:b = \phi$.
Prove $a:b=1:3$.
Prove $a:b=c:d$.
Prove $m^2:n^2 = ac:bd$.
The red line bisects each green line segment. Prove $PA:PB = a:b$.
Prove $\dfrac{m}{n}-\dfrac{n}{p}=1$ and $\dfrac{1}{m}+\dfrac{1}{n+p}=\dfrac{1}{n}$.
Prove $b:c = (n-1):2$.
Prove $m:n = (a+b):c$.
Prove $\dfrac{a}{b}-\dfrac{c}{d}=1$.
Prove $a:b=r:s$.
Prove $a^2:b^2=c:d$
Prove $a:c=r:d$.
Prove $a^2:b = c^2:d$.