Relationship between Buddhism, Hinduism and Yoga? All these 3 philosophy/religions are born across Tibet/Nepal/India and they all share numerous concept and practice.

Some points of connections could be:


Noble Eightfold Path are very similar to Yamas in Yoga
Concept of Reincarnation
Karma
Meditation approach as technique to reach enlightenment  
Meditation positions: actually the lotus posture, usually used in Buddish for meditation, is a yoga asana
Yantra
Mudras


More in general:


Hinduism and Yoga are almost on the same line, they born in the same time and are based on same concepts.
Buddhism, instead is more "modern", Buddha is dated between 563 BCE to 483, Hinduism/Yoga are thousand of years older, and in someway it is a consequence of the first two:
it is born in an environment where Hinduism/Yoga concept were the basement of the culture.


One of the main difference is:


Buddhism doesn't speak about God but speak about "life and how to live" or better how to stop to suffer. ( so it is basically the oldest psychoanalytic method known )  


Personally I believe that the reason behind this (non speaking about God) is because Buddha is like saying "Before speaking about God, you need to be ready and stable and find your self" or better "you don't need to speak about God, you have to find it and the shorter and safer path is inside you."

Main Point of the question:
Define a relationship between the above entities as they are strictly related and so point out the elements of difference that Buddhism philosophy introduces.

I think that this can be helpful to anyone that is approaching to Buddhism.
Hinduism &amp; Yoga aren't 2 different things. They are the same. 
Yoga is one of the 6 main Darshanas of Hinduism. I.e it provides it's own path for liberation. Other Darshanas(Advaita, etc) too use Yoga as a valid means but not the only valid means. 

Can't really say Buddhism is modern. It evolved along with Yoga both of which can be traced to around 4th century BCE. 

Both Hindu Darshanas &amp; Buddhism evolved influencing each other. For example Advaita borrowed some of it's elements from Nagarjuna. Tibetan Buddhism incorporated Tantra which is considered 'Hindu'. 

Tibetan Buddhism has it's own version of Yoga called Trul khor.

Hence to answer your question, they all belong to the same family, the Dharmic family and have influenced each other.