249809
Since C will always contain the whole line through P1 , P2 , P3 , P4 on account of Bézout 's theorem , the vector space of cubic homogeneous polynomials that vanish on ( the affine cones of ) P1 , P2 , \ ldots , P8 is isomorphic to the vector space of quadratic homogeneous polynomials that vanish ( the affine cones of ) P5 , P6 , P7 , P8 , which has dimension two .
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Please list all entity words in the text that fit the category. Output format is "word1, word2". 
Option: location, person, organization 
Text: {0} 
Answer:
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