Here, she discusses two with Oprah. Watch to find out why Dr. Brown says inauthenticity is contagious and why perfectionism is really another form of fear. For more Super Soul Sunday, visit http://www.oprah.com/SuperSoulSunday.
Midsegment Theorem Proof. The mid segment theorem states that a segment that connects the mid points of any two sides is parallel to the third side and also its measure is half the measure of the third side. That is, DE ll AB and DE = $\frac{1}{2}$ AB. Therefore, CA = CD + DA = 2 CD.
Catalan's conjecture. Catalan's conjecture (or MihÄilescu's theorem) is a theorem in number theory that was conjectured by the mathematician EugÃ¨ne Charles Catalan in 1844 and proven in 2002 by Preda MihÄilescu. 23 and 32 are two powers of natural numbers, whose values 8 and 9 respectively are consecutive.