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Help - i couldn't understand this !!!

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hi guys : i need explanations about this subject : (quaternion) SLERP i was reading the book : 3d math primier for graphics and game development and i didn't understand this formulas, first these are 3 pages about the subject. first page: second page: third page: go at the third page and you gonna see this formula: sin(w) =sint(tw)/k1 <--- here i didn't understand this why he used sin(w) because the angle (w) here its the angle between v0,v1, but with the above formula its the angle that pertaining to the triangle k1v1,sin(tw),(v0-(k0v0)). and after that he solved for k0, and also i dont know how. thanks smart.

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