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For the Line Segment with End Points At (a,b) and (c,d)( a , b ) \text { and } ( c , d )

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Essay

For the line segment with end points at (a,b) and (c,d)( a , b ) \text { and } ( c , d ) , six points divide this segment into seven equal parts. Find the coordinates of the point closest to the endpoint (a,b)( a , b ) .


Definitions:

Bloodletting

An ancient medical treatment that involved withdrawing blood from a patient to cure or prevent illness and disease.

Shaman

A person regarded as having access to, and influence in, the world of benevolent and malevolent spirits, often acting as a healer and spiritual leader within indigenous cultures.

Exorcism

A religious or spiritual ritual performed to expel evil spirits or demons from a person or place believed to be possessed.

Psychoanalysis

A therapeutic approach that seeks to explore and understand the unconscious mind, often dealing with repressed childhood conflicts.

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